# Design and Performance Evaluation of a Solar Assisted Heat Pump Dryer Integrated with Biomass Furnace for Red Chilli

Authors: M. Yahya
Journal: International Journal of Photoenergy
 (2016)

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## Abstract

The performance of a solar assisted heat pump dryer integrated with biomass furnace has been designed and evaluated for drying red chillies, and drying kinetics of red chillies were evaluated. The red chillies were dried from 22 kg with moisture content of 4.26 db to moisture content of 0.08 db which needed 11 hours, with the average drying chamber temperature, drying chamber relative humidity, and an air mass flow rate of 70.5°C, 10.1%, and 0.124 kg/s, respectively, while the open sun drying needed 62 hours. Compared to open sun drying, this dryer yielded 82% saving in drying time. The drying rate, the specific moisture extraction rate, and thermal efficiency of the dryer were estimated in average to be about 1.57 kg/h, 0.14 kg/kWh, and 9.03%, respectively. Three mathematical models, the Newton, Henderson-Pabis, and Page models, were fitted to the experimental data on red chillies dried by solar assisted heat pump dryer integrated with biomass furnace and open sun drying. The performance of these models was evaluated by comparing the coefficient of determination (R2), mean bias error (MBE), and root mean-square error (RMSE). The Page model gave the best results for representing drying kinetics of red chillies.


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## Body

## 1. Introduction

Indonesia is an agricultural country and produced 1,075,000 tons chilli in the year 2014, including red chilli [1]. Red chilli is an important ingredient in daily cuisine in Indonesia. It is consumed as fresh, dried, and powder forms. Red chilli is rich in protein, carbohydrates, calcium, phosphorus, vitamins A and C. It can be used to prevent heart diseases by dilating blood vessels and antioxidant [2, 3].Commonly, fresh red chillies are dried using open sun drying. It is very simple and has low investment and operating costs. However, the open sun drying has disadvantages such as depending on the weather conditions, low quality products, and slow drying rate or long drying times. Solar dryer is one of the alternatives to solve this problem.Some researchers have developed and tested several types of solar dryer to reduce drying time and to maintain the quality of red chillies obtained by open sun drying. Fudholi et al. [2, 4] reported that by using an indirect forced convection solar dryer for drying red chilli with a drying capacity of 40 kg the dryer was able to reduce the moisture content of 80% (wet basis) to 10% (wet basis) during 10 hours, while the open sun drying needed 65 hours. Also, they reported that the dryer can save the drying time of approximately 49% compared to open sun drying. Kaewkiew et al. [5] found that by using a large-scale greenhouse type solar dryer for drying red chilli with a drying capacity of 500 kg this dryer only takes 3 days to reduce moisture content as much as 74% (wet basis) to 9% (wet basis), whereas open sun drying takes 5 days. Solar dryer was estimated which can save the drying time of about 40% compared to open sun drying. In addition, good quality of red chilli was obtained. Palled et al. [6] evaluated the performance of a solar tunnel dryer for drying red chilli. The result showed that the drying of 350 kg red chilli using this dryer needs 50 hours for reducing its moisture content from 76% (wet basis) to 9% (wet basis), while the open sun drying needs 105 hours. They found that the solar dryer saves 52.38% in the drying time compared to open sun drying. Banout et al. [7] reported the use of a double-pass solar dryer for drying red chilli. Drying 40 kg of red chilli using this dryer, the moisture content reduced from approximately 90% (wet basis) to 10% (wet basis) within 32 hours, while open sun drying took 93 hours. Also, they found that by using this dryer we can save the drying time about 65.59% compared to open sun drying. Good quality products were obtained. Furthermore, Janjai et al. [3] found that by using a large-scale solar greenhouse using polycarbonate cover dryer for drying chilli with a drying capacity of 300 kg the dryer requires drying time for 3 days to reduce the moisture content from 75% (wet basis) to 15% (wet basis), while open sun drying takes 5 days. Also, solar dryer can save the drying time of approximately 40% over open sun drying. In addition, good quality dried product was obtained. Based on the results of the testing several researchers conclude that the solar dryers save over 39% of drying time of red chillies compared to open sun drying. However, the drying process can not be conducted or continued during the cloudy, rainy days and the night time because there is either no or low sunlight. Therefore, it is necessary to provide the solar dryers with an auxiliary heater, such as biomass furnace by using biomass as heat energy sources. Leon and Kumar [8] have evaluated the performance of a solar assisted biomass drying system with thermal storage for drying red chilli. They found that the drying of 22 kg red chilli using this dryer needs 32.5 hours of continuous drying for reducing its moisture content from 76.7% (wet basis) to 8.4% (wet basis), with the air drying temperature of 60°C and air flow rate of 90 m3/h, while the open sun drying needs 4 days. They found that the solar dryer saves 66% in the drying time compared to open sun drying. The solar assisted biomass drying system with thermal storage is also known as hot dryer because to decrease the drying time is done by increasing the air temperature. The high drying temperature causes damage to the flavour, colour, and nutrients of the dried chillies [9]. To overcome this problem, the drying time can be shortened by decreasing the air humidity. It can be done by removing or dehumidifying of the water vapor in the air by using dehumidifier such as heat pump. Dezfouli et al. [10] have evaluated the performance of a solar assisted heat pump dryer for drying red chilli. The result showed that the drying of 15 kg red chilli using this dryer needs 32 hours for reducing its moisture content from 4 on dry basis to 0.08 on dry basis, with an average temperature of 46°C, relative humidity of 27%, and air mass flow rate of 0.15 kg/h, while the open sun drying needs 64 hours. They found that the solar dryer saves 50% in the drying time compared to open sun drying. However, the drying air temperature is low at cloudy, rainy days and the night time. This will lead to long drying time because it limited the heat pump operating temperature refrigerant and compressor operating conditions.Solar assisted heat pump dryer integrated with biomass furnace can be used for drying red chillies to resolve the disadvantages of the current drying techniques. It has many advantages such as low relative humidity, and the drying processes can be conducted at cloudy, rainy days and the night time.Indonesia is a tropical country and is located in the equator line. The country receives a daily average solar radiation about 4 kWh/m2 [11]. Also, Indonesia is one of the largest biomass producing countries in the world with its production of approximately 236 million tons of biomass per year, equivalent to about 756.083 mill GJ per year [12]. Therefore, the purpose of this paper is to design and to evaluate performance of a solar assisted heat pump dryer integrated with biomass furnace for drying red chilli in Indonesia and to investigate the drying characteristics of red chilli in a solar assisted heat pump dryer integrated with biomass furnace and open sun drying and to fit the experimental data to select the best mathematical models.


## 2. Material and Methods

### 2.1. Experimental Set-Up

A solar assisted heat pump dryer integrated with biomass furnace was designed and installed at the Institute of Technology, Padang, West Sumatra, Indonesia. The drying system consists of solar collector array, heat pump, biomass furnace, drying chamber, and blower shown in Figures1 and 2. The solar collector is equipped with transparent cover glass material, absorber plate finned used aluminum and black painted opaque, angle iron frame, inside and outside the collector coated with aluminum 1 mm thick, and insulation using glass fiber materials. Two solar collectors are connected in series with an area of ​​1.8 m2 each, shown in Figure 3. The heat pump consists of several main parts: evaporator, condenser, compressor, and expansion valve. The working fluid of the heat pump is R-22. Compressor use of electrical capacity is 0.746 kW. The dimension of evaporator and condenser of the heat pump is shown in Figure 4. The biomass furnace consists of several main parts such as the combustion chamber, heat exchanger, chimney, and blower. The wall of the combustion chamber uses brick, cement, and steel plate materials and heat exchanger pipes using mild steel with diameter of 2 inch and number of pipes is 16 units, dimension of biomass furnace shown in Figure 5. The drying chamber uses the cabinet type and contains the drying trays with adjustable racks to place the red chilli. Its walls consist of triple layers, an outside layer which uses aluminum sheet, a middle one insulated with glass fiber materials, and inner layer which uses of aluminum sheet, dimension of drying chamber shown in Figure 6. The drying air is circulated by using blower with electrical capacity of 0.75 kW.Figure 1
Photograph of the solar assisted heat pump drying integrated with biomass furnace.Figure 2
Schematic diagram of the solar assisted heat pump drying integrated with biomass furnace.Figure 3
Dimensions of a double-pass solar collector with fin.Figure 4
Dimensions of evaporator and condenser of heat pump.Figure 5
Dimensions of biomass furnace.Figure 6
Dimensions of drying chamber.


### 2.2. Experimental Procedure

The experiments were carried out at Padang Institute of Technology, West Sumatra, Indonesia. Fresh red chilli was purchased at the local market in Padang. As much as 22 kg was placed into the drying chamber for the drying process shown in Figure7.Figure 7
Photograph of red chilli in drying chamber.Incoming and outgoing air temperature of solar collector, heat pump, biomass furnace, and drying chamber during the operation of the drying system were measured by using T type copper-constantan thermocouples with an accuracy of ±0.1°C and operating temperature range (−200°C to 400°C). The solar radiation was measured by an LI-200 pyranometer in ±0.1 Wm−2 accuracy and with maximum solar radiation of 2000 Wm−2, operating temperature range (−40°C to 400°C) and operating relative humidity range (0% to 100%). The air velocity was measured with 0–30 ms−1 range, an HT-383 anemometer, an accuracy of ±0.2 ms−1, and operation temperature range (−10°C to 45°C). The air temperature and the solar radiation were recorded by an AH4000 data logger with reading accuracy of ±0.1°C. The weight change of the red chilli was measured by 0–15 kg range, an TKB-0.15 weighing scale, an accuracy ±0.05 kg. Red chillies were weighed every 60 minutes and temperature was measured every 30 minutes.


### 2.3. Experimental Data Analysis

#### 2.3.1. Performance of Drying System

The performance of solar assisted heat pump dryer integrated with biomass furnace is characterized by drying rate, specific moisture extraction rate, and dryer thermal efficiency. It is highly depending on the performance of each of the drying system components such as solar collector, heat pump, and biomass furnace.The thermal efficiency of a solar collector is the ratio of useful heat gain by solar collector to the energy incident in the plane of the collector. It is calculated as [13](1)ηcoll=m˙airCPairTo,coll-Ti,collITAC×100%,where m˙air is air mass flow rate, CPair is specific heat of air, and Ti,coll and To,coll are inlet and outlet air temperatures of solar collector, respectively. AC is an area of collector and IT is solar radiation incident in the collector.The coefficient of performance of a heat pump is the ratio of useful heat or heat energy released by the refrigerant in the condenser to the electrical energy consumed by compressor. It is calculated as [14](2)COPhp=m˙airCPairTo,cond-Ti,condEcomp⁡,where Ti,cond and To,cond are inlet and outlet air temperatures of condenser, respectively, and Ecomp is the electrical energy consumed by the compressor.The electrical energy consumed by compressor was calculated using the following equation [15]:(3)Ecomp⁡=VIcos⁡φ,where V is the line voltage, I is the line current, and cos⁡φ is the power factor.The thermal efficiency of a biomass furnace is the ratio of useful heat by biomass furnace to the heat energy generated by the combustion of the biomass fuel. It is calculated as [16](4)ηbf=m˙airCPairTo,bf-Ti,bfm˙bmfCVbmf×100%,where Ti,bf and To,bf are the inlet and outlet air temperatures of biomass furnace, respectively, m˙bmf is biomass fuel consumption rate, and CVbmf is caloric value of biomass fuel. The biomass fuel uses coconut shell charcoal with a caloric value of about 7600 kcal/kg [17].The moisture content of the red chillies can be estimated by two methods such as wet and dry basis using the following equation [10].The moisture content wet basis was calculated as(5)MCwb=mwmw+md.The moisture content dry basis was calculated as(6)MCdb=mwetrc-mdm.d,where mw is the mass of water of the red chillies, md is the mass of bone dry of the red chillies, and mwetrc is mass of wet red chillies.The drying rate is the mass of water evaporated from the wet red chillies per unit time. It is calculated using the following equation [2]:(7)DR=m˙water=mwatert,where mwater is the mass of water evaporated and t is drying time.The mass of the water evaporated (mwater) from the wet red chillies can be calculated as [18](8)mwater=mwetrcMi-Mf100-Mf,where mwetrc is initial mass of wet red chillies, Mi is initial moisture content on wet basis, and Mf is final moisture content on the wet basis.The specific moisture extraction rate (SMER) is the ratio of the moisture evaporated from wet red chillies to the energy input to drying system. It is calculated as [19](9)SMER=m˙waterEs+Ebmf+Ecomp⁡+Ebl,where Es is energy incident in the plane of the solar collector and Ebmf is heat energy generated by the combustion of biomass fuel. Ecomp and Ebl are electrical energy consumed by compressor and blower, respectively.The thermal efficiency of dryer is the ratio of the energy used for moisture evaporation to the energy input to drying system. It is calculated as [20](10)ηdryer=m˙waterHfgEs+Ebmf+Ecomp⁡+Ebl,where Hfg is the latent heat of vaporization of water.The heat energy used by the drying system for drying red chillies is a contribution from the drying system components such as solar collector, condenser, and biomass furnace. The percentage of heat energy contribution by the solar collector, condenser, and biomass furnace is calculated using (11), (12), and (13), respectively [8].The percentage of heat energy contribution by solar collector can be calculated as follows:(11)HECcoll=QUcollQUcoll+QUcond+QUbf.The percentage of heat energy contribution by condenser can be calculated as follows:(12)HECcond=QUcondQUcond+QUcoll+QUbf.The percentage of heat energy contribution by biomass furnace can be calculated as follows:(13)HECbf=QUbfQUbf+QUcoll+QUcond,where QUcoll is the useful heat gain by solar collector, QUcond is the useful heat or heat energy released by refrigerant in the condenser, and QUbf is the useful heat by biomass furnace.


#### 2.3.2. Mathematical Modelling of Drying Curves

The experimental drying data obtained were fitted to the three best drying models given in Table1. The dimensionless moisture content was calculated as follows [21]:(14)MR=Mt-MeMo-Me,where MR is the dimensionless moisture content and Me, Mo, and Mt are the equilibrium moisture content, the initial moisture content, and the moisture content at any time on dry basis, respectively.Table 1
Mathematical models used for drying curves.
Model name
Model
References
Newton
MR = exp (−kt)
[23, 24]
Henderson and Pabis
MR =a exp (−kt)
[25, 26]
Page
MR = exp (−ktn)
[27, 28]The regression analysis was performed using Statistica computer program. The correlation coefficient (R2) was primary criterion for selecting the best equation to describe the drying curve equation. The values of the coefficient of determination (R2), mean bias error (MBE), and root mean-square error (RMSE) were used to analyze the relative goodness of the fit. These parameters can be calculated as follows [22]:(15)MBE=1N∑i=1NMRpre,i-MRexp⁡,i2,RMSE=1N∑i=1NMRpre,i-MRexp⁡,i21/2,where MRexp⁡,i is the ith experimental dimensionless moisture content, MRpre,i is the ith predicted dimensionless moisture content, N is the number of observations, and n is the number constants.


### 2.4. Experimental Uncertainty

In the drying experiments of the red chillies the data was obtained by appropriate instrument; however, errors and uncertainties can arise because of the situations such as instrument selection, condition, environment, observation, reading, and test planning. Uncertainty was calculated using the following equation [29, 30]:(16)WR=∂R∂x1w12+∂R∂x2w22+⋯+∂R∂xnwn21/2.


## 2.1. Experimental Set-Up

A solar assisted heat pump dryer integrated with biomass furnace was designed and installed at the Institute of Technology, Padang, West Sumatra, Indonesia. The drying system consists of solar collector array, heat pump, biomass furnace, drying chamber, and blower shown in Figures1 and 2. The solar collector is equipped with transparent cover glass material, absorber plate finned used aluminum and black painted opaque, angle iron frame, inside and outside the collector coated with aluminum 1 mm thick, and insulation using glass fiber materials. Two solar collectors are connected in series with an area of ​​1.8 m2 each, shown in Figure 3. The heat pump consists of several main parts: evaporator, condenser, compressor, and expansion valve. The working fluid of the heat pump is R-22. Compressor use of electrical capacity is 0.746 kW. The dimension of evaporator and condenser of the heat pump is shown in Figure 4. The biomass furnace consists of several main parts such as the combustion chamber, heat exchanger, chimney, and blower. The wall of the combustion chamber uses brick, cement, and steel plate materials and heat exchanger pipes using mild steel with diameter of 2 inch and number of pipes is 16 units, dimension of biomass furnace shown in Figure 5. The drying chamber uses the cabinet type and contains the drying trays with adjustable racks to place the red chilli. Its walls consist of triple layers, an outside layer which uses aluminum sheet, a middle one insulated with glass fiber materials, and inner layer which uses of aluminum sheet, dimension of drying chamber shown in Figure 6. The drying air is circulated by using blower with electrical capacity of 0.75 kW.Figure 1
Photograph of the solar assisted heat pump drying integrated with biomass furnace.Figure 2
Schematic diagram of the solar assisted heat pump drying integrated with biomass furnace.Figure 3
Dimensions of a double-pass solar collector with fin.Figure 4
Dimensions of evaporator and condenser of heat pump.Figure 5
Dimensions of biomass furnace.Figure 6
Dimensions of drying chamber.


## 2.2. Experimental Procedure

The experiments were carried out at Padang Institute of Technology, West Sumatra, Indonesia. Fresh red chilli was purchased at the local market in Padang. As much as 22 kg was placed into the drying chamber for the drying process shown in Figure7.Figure 7
Photograph of red chilli in drying chamber.Incoming and outgoing air temperature of solar collector, heat pump, biomass furnace, and drying chamber during the operation of the drying system were measured by using T type copper-constantan thermocouples with an accuracy of ±0.1°C and operating temperature range (−200°C to 400°C). The solar radiation was measured by an LI-200 pyranometer in ±0.1 Wm−2 accuracy and with maximum solar radiation of 2000 Wm−2, operating temperature range (−40°C to 400°C) and operating relative humidity range (0% to 100%). The air velocity was measured with 0–30 ms−1 range, an HT-383 anemometer, an accuracy of ±0.2 ms−1, and operation temperature range (−10°C to 45°C). The air temperature and the solar radiation were recorded by an AH4000 data logger with reading accuracy of ±0.1°C. The weight change of the red chilli was measured by 0–15 kg range, an TKB-0.15 weighing scale, an accuracy ±0.05 kg. Red chillies were weighed every 60 minutes and temperature was measured every 30 minutes.


## 2.3. Experimental Data Analysis

### 2.3.1. Performance of Drying System

The performance of solar assisted heat pump dryer integrated with biomass furnace is characterized by drying rate, specific moisture extraction rate, and dryer thermal efficiency. It is highly depending on the performance of each of the drying system components such as solar collector, heat pump, and biomass furnace.The thermal efficiency of a solar collector is the ratio of useful heat gain by solar collector to the energy incident in the plane of the collector. It is calculated as [13](1)ηcoll=m˙airCPairTo,coll-Ti,collITAC×100%,where m˙air is air mass flow rate, CPair is specific heat of air, and Ti,coll and To,coll are inlet and outlet air temperatures of solar collector, respectively. AC is an area of collector and IT is solar radiation incident in the collector.The coefficient of performance of a heat pump is the ratio of useful heat or heat energy released by the refrigerant in the condenser to the electrical energy consumed by compressor. It is calculated as [14](2)COPhp=m˙airCPairTo,cond-Ti,condEcomp⁡,where Ti,cond and To,cond are inlet and outlet air temperatures of condenser, respectively, and Ecomp is the electrical energy consumed by the compressor.The electrical energy consumed by compressor was calculated using the following equation [15]:(3)Ecomp⁡=VIcos⁡φ,where V is the line voltage, I is the line current, and cos⁡φ is the power factor.The thermal efficiency of a biomass furnace is the ratio of useful heat by biomass furnace to the heat energy generated by the combustion of the biomass fuel. It is calculated as [16](4)ηbf=m˙airCPairTo,bf-Ti,bfm˙bmfCVbmf×100%,where Ti,bf and To,bf are the inlet and outlet air temperatures of biomass furnace, respectively, m˙bmf is biomass fuel consumption rate, and CVbmf is caloric value of biomass fuel. The biomass fuel uses coconut shell charcoal with a caloric value of about 7600 kcal/kg [17].The moisture content of the red chillies can be estimated by two methods such as wet and dry basis using the following equation [10].The moisture content wet basis was calculated as(5)MCwb=mwmw+md.The moisture content dry basis was calculated as(6)MCdb=mwetrc-mdm.d,where mw is the mass of water of the red chillies, md is the mass of bone dry of the red chillies, and mwetrc is mass of wet red chillies.The drying rate is the mass of water evaporated from the wet red chillies per unit time. It is calculated using the following equation [2]:(7)DR=m˙water=mwatert,where mwater is the mass of water evaporated and t is drying time.The mass of the water evaporated (mwater) from the wet red chillies can be calculated as [18](8)mwater=mwetrcMi-Mf100-Mf,where mwetrc is initial mass of wet red chillies, Mi is initial moisture content on wet basis, and Mf is final moisture content on the wet basis.The specific moisture extraction rate (SMER) is the ratio of the moisture evaporated from wet red chillies to the energy input to drying system. It is calculated as [19](9)SMER=m˙waterEs+Ebmf+Ecomp⁡+Ebl,where Es is energy incident in the plane of the solar collector and Ebmf is heat energy generated by the combustion of biomass fuel. Ecomp and Ebl are electrical energy consumed by compressor and blower, respectively.The thermal efficiency of dryer is the ratio of the energy used for moisture evaporation to the energy input to drying system. It is calculated as [20](10)ηdryer=m˙waterHfgEs+Ebmf+Ecomp⁡+Ebl,where Hfg is the latent heat of vaporization of water.The heat energy used by the drying system for drying red chillies is a contribution from the drying system components such as solar collector, condenser, and biomass furnace. The percentage of heat energy contribution by the solar collector, condenser, and biomass furnace is calculated using (11), (12), and (13), respectively [8].The percentage of heat energy contribution by solar collector can be calculated as follows:(11)HECcoll=QUcollQUcoll+QUcond+QUbf.The percentage of heat energy contribution by condenser can be calculated as follows:(12)HECcond=QUcondQUcond+QUcoll+QUbf.The percentage of heat energy contribution by biomass furnace can be calculated as follows:(13)HECbf=QUbfQUbf+QUcoll+QUcond,where QUcoll is the useful heat gain by solar collector, QUcond is the useful heat or heat energy released by refrigerant in the condenser, and QUbf is the useful heat by biomass furnace.


### 2.3.2. Mathematical Modelling of Drying Curves

The experimental drying data obtained were fitted to the three best drying models given in Table1. The dimensionless moisture content was calculated as follows [21]:(14)MR=Mt-MeMo-Me,where MR is the dimensionless moisture content and Me, Mo, and Mt are the equilibrium moisture content, the initial moisture content, and the moisture content at any time on dry basis, respectively.Table 1
Mathematical models used for drying curves.
Model name
Model
References
Newton
MR = exp (−kt)
[23, 24]
Henderson and Pabis
MR =a exp (−kt)
[25, 26]
Page
MR = exp (−ktn)
[27, 28]The regression analysis was performed using Statistica computer program. The correlation coefficient (R2) was primary criterion for selecting the best equation to describe the drying curve equation. The values of the coefficient of determination (R2), mean bias error (MBE), and root mean-square error (RMSE) were used to analyze the relative goodness of the fit. These parameters can be calculated as follows [22]:(15)MBE=1N∑i=1NMRpre,i-MRexp⁡,i2,RMSE=1N∑i=1NMRpre,i-MRexp⁡,i21/2,where MRexp⁡,i is the ith experimental dimensionless moisture content, MRpre,i is the ith predicted dimensionless moisture content, N is the number of observations, and n is the number constants.


## 2.3.1. Performance of Drying System

The performance of solar assisted heat pump dryer integrated with biomass furnace is characterized by drying rate, specific moisture extraction rate, and dryer thermal efficiency. It is highly depending on the performance of each of the drying system components such as solar collector, heat pump, and biomass furnace.The thermal efficiency of a solar collector is the ratio of useful heat gain by solar collector to the energy incident in the plane of the collector. It is calculated as [13](1)ηcoll=m˙airCPairTo,coll-Ti,collITAC×100%,where m˙air is air mass flow rate, CPair is specific heat of air, and Ti,coll and To,coll are inlet and outlet air temperatures of solar collector, respectively. AC is an area of collector and IT is solar radiation incident in the collector.The coefficient of performance of a heat pump is the ratio of useful heat or heat energy released by the refrigerant in the condenser to the electrical energy consumed by compressor. It is calculated as [14](2)COPhp=m˙airCPairTo,cond-Ti,condEcomp⁡,where Ti,cond and To,cond are inlet and outlet air temperatures of condenser, respectively, and Ecomp is the electrical energy consumed by the compressor.The electrical energy consumed by compressor was calculated using the following equation [15]:(3)Ecomp⁡=VIcos⁡φ,where V is the line voltage, I is the line current, and cos⁡φ is the power factor.The thermal efficiency of a biomass furnace is the ratio of useful heat by biomass furnace to the heat energy generated by the combustion of the biomass fuel. It is calculated as [16](4)ηbf=m˙airCPairTo,bf-Ti,bfm˙bmfCVbmf×100%,where Ti,bf and To,bf are the inlet and outlet air temperatures of biomass furnace, respectively, m˙bmf is biomass fuel consumption rate, and CVbmf is caloric value of biomass fuel. The biomass fuel uses coconut shell charcoal with a caloric value of about 7600 kcal/kg [17].The moisture content of the red chillies can be estimated by two methods such as wet and dry basis using the following equation [10].The moisture content wet basis was calculated as(5)MCwb=mwmw+md.The moisture content dry basis was calculated as(6)MCdb=mwetrc-mdm.d,where mw is the mass of water of the red chillies, md is the mass of bone dry of the red chillies, and mwetrc is mass of wet red chillies.The drying rate is the mass of water evaporated from the wet red chillies per unit time. It is calculated using the following equation [2]:(7)DR=m˙water=mwatert,where mwater is the mass of water evaporated and t is drying time.The mass of the water evaporated (mwater) from the wet red chillies can be calculated as [18](8)mwater=mwetrcMi-Mf100-Mf,where mwetrc is initial mass of wet red chillies, Mi is initial moisture content on wet basis, and Mf is final moisture content on the wet basis.The specific moisture extraction rate (SMER) is the ratio of the moisture evaporated from wet red chillies to the energy input to drying system. It is calculated as [19](9)SMER=m˙waterEs+Ebmf+Ecomp⁡+Ebl,where Es is energy incident in the plane of the solar collector and Ebmf is heat energy generated by the combustion of biomass fuel. Ecomp and Ebl are electrical energy consumed by compressor and blower, respectively.The thermal efficiency of dryer is the ratio of the energy used for moisture evaporation to the energy input to drying system. It is calculated as [20](10)ηdryer=m˙waterHfgEs+Ebmf+Ecomp⁡+Ebl,where Hfg is the latent heat of vaporization of water.The heat energy used by the drying system for drying red chillies is a contribution from the drying system components such as solar collector, condenser, and biomass furnace. The percentage of heat energy contribution by the solar collector, condenser, and biomass furnace is calculated using (11), (12), and (13), respectively [8].The percentage of heat energy contribution by solar collector can be calculated as follows:(11)HECcoll=QUcollQUcoll+QUcond+QUbf.The percentage of heat energy contribution by condenser can be calculated as follows:(12)HECcond=QUcondQUcond+QUcoll+QUbf.The percentage of heat energy contribution by biomass furnace can be calculated as follows:(13)HECbf=QUbfQUbf+QUcoll+QUcond,where QUcoll is the useful heat gain by solar collector, QUcond is the useful heat or heat energy released by refrigerant in the condenser, and QUbf is the useful heat by biomass furnace.


## 2.3.2. Mathematical Modelling of Drying Curves

The experimental drying data obtained were fitted to the three best drying models given in Table1. The dimensionless moisture content was calculated as follows [21]:(14)MR=Mt-MeMo-Me,where MR is the dimensionless moisture content and Me, Mo, and Mt are the equilibrium moisture content, the initial moisture content, and the moisture content at any time on dry basis, respectively.Table 1
Mathematical models used for drying curves.
Model name
Model
References
Newton
MR = exp (−kt)
[23, 24]
Henderson and Pabis
MR =a exp (−kt)
[25, 26]
Page
MR = exp (−ktn)
[27, 28]The regression analysis was performed using Statistica computer program. The correlation coefficient (R2) was primary criterion for selecting the best equation to describe the drying curve equation. The values of the coefficient of determination (R2), mean bias error (MBE), and root mean-square error (RMSE) were used to analyze the relative goodness of the fit. These parameters can be calculated as follows [22]:(15)MBE=1N∑i=1NMRpre,i-MRexp⁡,i2,RMSE=1N∑i=1NMRpre,i-MRexp⁡,i21/2,where MRexp⁡,i is the ith experimental dimensionless moisture content, MRpre,i is the ith predicted dimensionless moisture content, N is the number of observations, and n is the number constants.


## 2.4. Experimental Uncertainty

In the drying experiments of the red chillies the data was obtained by appropriate instrument; however, errors and uncertainties can arise because of the situations such as instrument selection, condition, environment, observation, reading, and test planning. Uncertainty was calculated using the following equation [29, 30]:(16)WR=∂R∂x1w12+∂R∂x2w22+⋯+∂R∂xnwn21/2.


## 3. Results and Discussion

The variations of solar radiation and inlet and outlet air temperatures of the solar collector with time of the day are shown in Figure8. As seen from the figure the weather is quite bright with an average solar radiation of 637 Wm−2 which was observed. The inlet air temperature of the solar collector is varied between 45.9°C and 49.3°C and in average is 47.6°C. Meanwhile, the outlet air temperature of the solar collector is varied between 49.1°C and 62.7°C and in average is 54.7°C. Also it is observed from the figure that the outlet air temperature of the solar collector is very dependent on the solar radiation; when solar radiation is high, the outlet air temperature of the solar collector is also high, and vice versa. The evaluation of the uncertainty of dryer performance is presented in Table 2.Table 2
Uncertainties of the parameters during drying experiment of red chilli.
Parameters
Unit
Uncertainty comment
Measured
Ambient air temperature
°C
±0.17
Inlet air temperature of heat pump
°C
±0.17
Outlet air temperature of heat pump
°C
±0.17
Inlet air temperature of condenser
°C
±0.17
Outlet air temperature of condenser
°C
±0.17
Inlet air temperature of solar collector
°C
±0.17
Outlet air temperature of solar collector
°C
±0.17
Inlet air temperature of biomass furnace
°C
±0.17
Outlet air temperature of biomass furnace
°C
±0.17
Inlet air temperature of drying chamber
°C
±0.17
Outlet air temperature of drying chamber
°C
±0.17
Ambient air relative humidity
%
±0.22
Inlet air relative humidity of heat pump
%
±0.22
Outlet air relative humidity of heat pump
%
±0.22
Inlet air relative humidity of drying chamber
%
±0.22
Outlet air relative humidity of drying chamber
%
±0.22
Solar radiation
W/m2
±0.14
Air velocity
m/s
±0.24
Mass loss of samples
g
±0.014
Mass loss of products
kg
±0.11
Reading values of table (ρ, Cp, CV, and Hfg)
—
±0.1–0.2
Time measurement
min
±0.1
Calculated
Air mass flow rate
kg/s
±0.26
Power consumption of compressor
kW
±0.056
Power consumption of blower
kW
±0.037
Thermal efficiency of solar collector
%
±0.39
Coefficient of performance of heat pump
—
±0.37
Thermal efficiency of biomass furnace
%
±0.458
Moisture content
g water/g wet material
±0.024
Drying rate
kg/h
±0.18
Specific moisture extraction rate
kg/kWh
±0.336
Thermal efficiency of dryer
%
±0.350
Contribution heat energy by condenser
%
±0.736
Contribution heat energy by solar collector
%
±0.736
Contribution heat energy by biomass furnace
%
±0.736Figure 8
The variation of solar radiation and temperature with time of the day.The variations of solar radiation and efficiency of solar collector with time of the day are shown in Figure9. The maximum, minimum, and average of the solar collector efficiency were estimated to be about 12.0%, 54.6%, and 35.1%, respectively, with an air mass flow rate being about 0.1254 kgs−1. As observed from the figure the solar collector is very sensitive to solar radiation; if the solar radiation fluctuates, the solar collector efficiency also fluctuates.Figure 9
The variations of solar radiation and efficiency of solar collector with time of the day.The variations of air temperatures and relative humidities inlet and outlet of the heat pump are shown in Figure10. The inlet and outlet air temperature of the heat pump are varied between 31.2°C and 37.2°C and 47.5°C and 50.3°C and in average are about 34.1°C and 49.1°C, respectively. Meanwhile, inlet and outlet air relative humidity of heat pump are varied between 50.3% and 62.7% and 26.2% and 32.7% and in average are about 57.4% and 28.8%, respectively. The heat pump can increase the air temperature and can decrease the relative humidity with an average of about 15.0°C and 28.8%, respectively.Figure 10
The variation of temperature and relative humidity with time of the day.The variations of inlet and outlet air temperatures and COP of the heat pump are shown in Figure11. The average inlet and outlet temperatures of the condenser of about 26.9°C and 49.1°C were recorded. Meanwhile, the minimum, maximum, and average of the COP of the heat pump were estimated to be about 3.76, 3.95, and 3.84, respectively, with an air mass flow rate being about 0.124 kgs−1.Figure 11
The variation of temperature and COP of the heat pump with time of the day.The variations of inlet and outlet air temperatures and efficiency of the biomass furnace are shown in Figure12. The inlet and outlet air temperatures of the biomass furnace varied between 47.6°C and 61.2°C and 70.5°C and 75.3°C with an average of about 53.2°C and 72.8°C, respectively. The minimum, maximum, and average of the efficiency of biomass furnace were estimated to be about 15%, 43.5%, and 30.7%, respectively, with an air mass flow rate of about 0.124 kgs−1. As seen from the figure the biomass furnace efficiency achieved is quite low, because of a lot of heat loss to the environment.Figure 12
The variation of temperature and efficiency of the biomass furnace with time of the day.The variations of air temperature and ambient, inlet, and outlet relative humidity of the drying chamber with drying time are shown in Figure13. The drying chamber inlet temperature, drying chamber outlet temperature, drying chamber inlet relative humidity, and drying chamber outlet relative humidity are varied between 68.4°C and 71.8°C, 47.6°C and 58.2°C, 9.0% and 11.6%, and 24.6% and 55.4%, respectively, with corresponding average values of 70.5°C, 51.3°C, 10.1%, and 43.5%. The temperature ambient and relative humidity ambient are varied between 31.2°C and 33.8°C and 48.4% and 63.1%, respectively, with corresponding average values of 34.1°C and 57.4%. The results indicated that the air drying temperatures in solar assisted heat pump integrated with biomass furnace were higher than the ambient temperature; meanwhile the relative humidity in this dryer was lower than the ambient relative humidity. The difference values of air temperature and relative humidity were estimated to be about 36.4°C and 47.3%, respectively, in the 11-hour drying period. It can be stated that the drying rate in the dryer is higher than in open sun drying. As seen from figure the drying chamber outlet air temperature increased and the drying chamber outlet relative humidity decreased with increasing in drying time. Due to these, the heat and mass transfer coefficients decreased in the drying time. Also it is observed from the figure that the air temperature of the outlet of the drying chamber is high, whereas the air relative humidity of the outlet of the drying chamber is low, and it is potential for recirculating to dry the red chilli.Figure 13
The variation of temperature and relative humidity with drying time.The variation of weight change of red chillies with drying time is shown in Figure14. As observed from the figure the weight of red chillies was reduced continuously with increasing in drying time. The weight of red chillies was reduced from 22 kg to 4.5 kg in 11 hours, with an air mass flow rate of 0.124 kgs−1 and an averages drying air temperature and relative humidity of about 70.5°C and 10.1%, respectively.Figure 14
The variation of weight change of red chillies with drying time.The variations of moisture content of dried red chilli in the solar assisted heat pump integrated with biomass furnace and open sun drying with drying time are shown in Figure15. The moisture content was dried of red chilli to final moisture content of about 0.08 on dry basis from 4.26 on dry basis. The time to reach the final moisture content for solar assisted heat pump integrated with biomass furnace was found to be about 11 hours, with an air mass flow rate of 0.124 kgs−1 and an average drying air temperature and relative humidity of about 70.5°C and 10.1%, respectively. Meanwhile, the drying time of open sun drying was found to be about 62 hours, with an average ambient air temperature and ambient relative humidity of about 34.1°C and 57.4%, respectively. The solar assisted heat pump integrated with biomass furnace had a shorter drying time compared to open sun drying. In other words, the dryer reduced the drying time or saved the drying time of about 82% compared to open sun drying. The decrease in drying time could be due to the values of higher temperature and lower relative humidity obtained in the dryer. At higher temperature and lower relative humidity, the difference in the partial vapor pressure between red chilli and the drying air is higher than at lower temperature and higher relative humidity. Hence, the moisture content transfer rate was more with higher air drying temperature.Figure 15
The variation of moisture content of dried red chilli in the solar assisted heat pump integrated with biomass furnace and open sun drying with drying time.The variation of drying rate with drying time is shown in Figure16. The minimum, maximum, and average of the drying rate were estimated to be about 0.25 kg/h, 2.45 kg/h, and 1.57 kg/h, respectively. As observed from the figure the drying rate decreased with increase in drying time. Due to this, the evaporation rate of moisture decreased in the drying time.Figure 16
The variation of drying rate with drying time.The variations of SMER and dryer thermal efficiency with drying time are shown in Figures17 and 18. Figure 17 shows the variation of SMER with drying time. The minimum, maximum, and average of the SMER were estimated to be about 0.02, 0.24 kg/kWh, and 0.14 kg/kWh, respectively. Figure 18 shows the variation of dryer thermal efficiency with drying time. The thermal efficiency varies from 1.34% to 15.36 with an average of 9.03%, respectively. As observed from Figures 18 and 19 the SMER and the dryer thermal efficiency also decreased with increase in drying time. Due to these, the evaporation rate of moisture decreased in the drying time.Figure 17
The variation of SMER with drying time.Figure 18
The variation of dryer thermal efficiency with drying time.Figure 19
The variation of the contribution of heat energy with drying time.The variations of the contribution of heat energy with drying time are shown in Figure19. The contribution of heat energy by the collector varies from about 2.7% to 30.0% and with average of 14.74%, respectively. The contribution of heat energy by the condenser varies from about 43.7% to 50.4% and with average of 47.39%, respectively. Meanwhile, the contribution of heat energy by the biomass furnace varies from about 19.6% to 50.3% and with average of 37.87%, respectively. Also it is observed from the figure that the contribution of heat energy by the condenser of heat pump is greater than the solar collector and biomass furnace, because the condenser can improve the drying air temperature reached with average value of 49.1°C.The experimental results of drying of red chilli using a solar assisted heat pump integrated with biomass furnace were compared with open sun drying and several types of solar dryers in references are shown in Table3. In this dryer, the red chillies were dried from moisture content of 4.26 on dry basis to moisture content of 0.08 on dry basis which needed drying time 11 hours, with the average drying chamber temperature, drying chamber relative humidity, and an air mass flow rate of 70.5°C, 10.1%, and 0.124 kg/s, respectively. Meanwhile, the drying time in several types of solar dryers in the references was varied from 32 hours to 50 hours. The results revealed that this dryer is better than several types of solar dryers in the references. This is because the drying time is lower than the several types of solar dryers in the references.Table 3
Performances of solar assisted heat pump integrated with biomass furnace  compared with open sun drying and several types of solar dryers in references.
Number
Type of dryer
Drying capacity (kg)
Moisture content (% wb)
Drying time
Saving in time (%)
Thermal efficiency (%)
SMER (kg/kWh)
Refs.
M
i
M
t
1
Open sun drying
—
80
10
65 h
—
—
—
[4]
Solar drying
40
80
10
33 h
49
28
0.19
2
Open sun drying
—
74
9
5 days
—
—
—
[5]
Solar greenhouse dryer
500
74
9
3 days
40
—
—
3
Open sun drying
—
76
9
105 h
—
—
—
[6]
Solar tunnel dryer
350
76
9
50 h
52.38
—
—
4
Open sun drying
—
90
10
93 h
—
—
—
[7]
Double-pass solar dryer
40
90
10
32 h
65.59
—
—
5
Open sun drying
—
75
15
5 days
—
—
—
[3]
Solar greenhouse dryer
300
75
15
3 days
40
—
—
6
Open sun drying
—
76.7
8.4
4 days
—
—
—
[8]
Solar assisted biomass drying
22
76.7
8.4
32.5 h
66
—
—
7
Open sun drying
—
4 db
0.08 db
64 h
—
—
—
[9]
Solar assisted heat pump dryer
15
4 db
0.05 db
32 h
50
—
—
8
Open sun drying
7.5
4.26 db
0.08 db
62 h
—
—
—
Present study
Solar assisted heat pump dryer integrated with biomass furnace
22
4.26 db
0.08 db
11 h
82
9.03
0.14The variations of dimensionless moisture content data of dried red chilli in a solar assisted heat pump integrated with biomass furnace and open sun drying with drying time are shown in Figure20. The dimensionless moisture content of red chilli reduced exponentially as the drying time increased. Continuous decrease in dimensionless moisture content indicates that diffusion has governed the internal mass transfer. As seen from the figure the reduction of moisture content of red chilli dried using a solar assisted heat pump integrated with biomass furnace is faster than the open sun drying; this is because the air drying temperature is higher, and air drying relative humidity is lower than the open sun drying. At high air drying temperature and low relative humidity, the difference in partial vapor pressure between red chilli and the air drying is high; thereby the acceleration of moisture migration is also high.Figure 20
The variation of dimensionless moisture content data of dried red chilli in a solar assisted heat pump integrated with biomass furnace and open sun drying with drying time.The dimensionless moisture content data of dried red chilli in a solar assisted heat pump integrated with biomass furnace and open sun drying were fitted in three drying models such as the Newton model, Henderson-Pabis model, and the Page model. The regression constant, the values of the coefficient of determination (R2), the mean bias error (MBE), and the root mean-square error (RMSE) for these drying models are given in Table 4. It can be observed in Table 3 that the Page model fitted best with the experimental data compared with the Newton and Henderson-Pabis drying models; this is because the value of R2 is higher, and MBE and RMSE are lower than the Newton and Henderson-Pabis drying models. Page model for drying of red chilli using a solar assisted heat pump integrated with biomass furnace gave R2=0.9822, MBE = 0.0008, and RMSE = 0.0278. Meanwhile, Page model for drying of red chilli using open sun drying gave R2=0.9410, MBE = 0.0051, and RMSE = 0.0713.Table 4
Statistical results mathematical modelling of drying curves.
Model
Method of drying
Model coefficients and constants
R
2
MBE
RMSE
Newton
Open sun drying
k
=
0.0560
0.7235
0.0376
0.1939
Dryer
k
=
0.2900
0.8687
0.0137
0.1172
Henderson and Pabis
Open sun drying
k
=
0.0756; a=2.2246
0.7946
0.0662
0.2574
Dryer
k
=
0.3576; a=1.6335
0.9093
0.0037
0.0609
Page
Open sun drying
k
=
1.4873; n=0.0072
0.9410
0.0051
0.0713
Dryer
k
=
1.4080; n=0.1140
0.9822
0.0008
0.0278The variations of dimensionless moisture content data of dried red chilli in a solar assisted heat pump integrated with biomass furnace and open sun drying with drying time fitted with the Page model are shown in Figure21. It can be seen from this that there was a better fit between experimental data and predicted dimensionless moisture ratios.Figure 21
The variation of dimensionless moisture content data of dried red chilli in a solar assisted heat pump integrated with biomass furnace and open sun drying and Page model with drying time.The variation of drying rate with dimensionless moisture content of dried red chilli in a solar assisted heat pump integrated with biomass furnace is shown in Figure22. Drying of red chilli occurred in falling rate period; constant drying rate period was not observed. During the falling rate period, the drying rate decreased continuously with decreasing dimensionless moisture content and increasing drying time. These are similar results as the observation of earlier researchers [7, 31]. From the curve of drying rate with dimensionless moisture content of red chillies, the regression equation was created as(17)DR=2.4456+0.5449ln⁡MR;R2=0.9267.Figure 22
The variation of drying rate with dimensionless moisture content of dried red chilli in a solar assisted heat pump integrated with biomass furnace.


## 4. Conclusion

The performance of a solar assisted heat pump dryer integrated with biomass furnace has been designed and evaluated for drying red chillies, and drying kinetics of red chillies were evaluated. The averages of the solar collector efficiency, COP of the heat pump, and the efficiency of biomass furnace were estimated to be about 35.1%, 3.84, and 30.7%, respectively. The red chillies were dried from 22 kg with moisture content of 4.26 db to moisture content of 0.08 db which needed 11 hours, with the average drying chamber temperature, drying chamber relative humidity, and an air mass flow rate of 70.5°C, 10.1%, and 0.124 kgs−1, respectively, while the open sun drying needed 62 hours. Compared to open sun drying, this dryer yielded a 82% saving in drying time. The drying rate was estimated in average to be about 1.57 kg/h, while the specific moisture extraction rate and thermal efficiency of the dryer were estimated in average to be about 0.14 kg/kWh and 9.03%, respectively. The contributions of heat energy by the collector, condenser, and biomass furnace were estimated in average to be about 14.74%, 47.39%, and 37.87%, respectively. The biomass fuel (coconut shell charcoal) was needed during drying of about 11 kg. Drying of red chilli occurred in falling rate period; constant drying rate period was not observed. The Page model fitted best with the experimental data compared with the Newton and Henderson-Pabis drying models. It resulted in the highest R2 and the lowest MBE and RMSE. Result shows that this dryer is capable of drying red chillies quickly because of the high drying rate.



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*Source: 8763947-2016-03-24.xml*