## 3 Results
### Material Flow Analysis  
The overall process with flow dynamics and mass balance is presented in Figure 2. The estimations of C and N flows are displayed in Figures 3 and 4, respectively, assuming that carbon is 99% oxidized to CO\({}_{2}\) while nitrogen is released to the air as NH\({}_{3}\) at the ACT process [12]. The modeling of the composite system follows all fractions throughout the processes based on two assumptions: (1) the mass can be transferred between processes, and (2) the carbon of biogenic origin in biodegradable materials is biologically degraded to gases with dominant carbon dioxide. The above transfers and transformations are expressed as degradation factors and transfer coefficients. The primary process occurs in the continuous-flow aerobic composting tank (ACT), where the materials enter daily, are mechanically mixed, and transferred across the tank. Controlled conditions are provided with aeration, water adjustment, and temperature management. The processed material that exits daily continues to the refinery unit for separation. The calculated retention time of the materials in the composting tank is four to five weeks. Several studies follow a general approach when modeling a composting system and consider the treated materials as a single homogenous mixture appointing one degradation factor [9; 48]. That is justified since most studies refer to source-segregated \begin{table}
\begin{tabular}{l c c c c c c c c} \hline \hline
**Fraction** & \
\begin{tabular}{c} **OFMWS** \\ **Composition (\%)** \\ \end{tabular} &
\begin{tabular}{c} **OFMSW** \\ **Water Content (\%)** \\ \end{tabular} & **TS (\%)** & **VS (\%)** & **Ash (\%)** & **C Bio (\%)** & **C Fossil (\%)** & **N(\%)** \\ \hline \hline
**Biodegradable** & & & & & & & \\ \hline Biowaste & 76.49 \(\pm\) 10.55 & 56.04 & 37.40 & 90.00 & 10.00 & 54.60 & 0.60 & 3.72 \\ Paper & 11.40 \(\pm\) 10.91 & 33.29 & 87.00 & 72.30 & 27.70 & 37.60 & 0.20 & 0.18 \\ Dirty paper & 0.29 \(\pm\) 0.63 & 53.30 & 75.50 & 91.10 & 8.90 & 44.60 & 0.91 & 0.30 \\ Cardboard & 1.24 \(\pm\) 17.06 & 39.33 & 89.50 & 84.90 & 15.10 & 41.10 & 0.30 & 0.24 \\ Green waste & 4.64 \(\pm\) 1.62 & 47.00 & 53.00 & 93.00 & 7.00 & 43.02 & 0.00 & 0.15 \\
**Plastics \({}^{*}\)** & & & & & & & & \\ \hline Soft plastic (PE) & 0.30 \(\pm\) 2.90 & 28.25 & 85.89 & 95.60 & 4.40 & 0.41 & 81.60 & 0.20 \\ Hard plastic (PP) & 0.29 \(\pm\) 2.05 & 22.83 & 96.80 & 97.80 & 2.20 & 0.40 & 79.50 & 5.50 \\ Non-recyclable plastic & 0.30 \(\pm\) 3.90 & 0.00 & 92.90 & 94.50 & 5.50 & 0.36 & 70.60 & 0.50 \\
**Metals** & & & & & & & & \\ \hline Aluminum foil & & & & & & & & \\ and containers & & & & & & & & \\ Batteries and & & & & & & & & \\ electronic devices & & & & & & & & \\ Food cans & & & & & & & \\ (tinplate/steel) & & & & & & & & \\
**Other materials** & & & & & & & & \\ \hline Rubber & 0.11 \(\pm\) 3.58 & 34.42 & 92.30 & 90.30 & 9.70 & 52.30 & 13.10 & 0.60 \\ Leather & 0.11 \(\pm\) 3.58 & 34.42 & 93.30 & 87.40 & 12.60 & 30.70 & 30.70 & 0.30 \\ Textile & 0.11 \(\pm\) 3.58 & 34.42 & 94.00 & 96.40 & 3.60 & 39.10 & 13.00 & 3.20 \\ Processed wood & 0.11 \(\pm\) 3.58 & 34.42 & 84.60 & 96.30 & 3.70 & 49.40 & 0.00 & 0.00 \\ Glass & 3.17 \(\pm\) 2.05 & 2.23 & 99.70 & 1.20 & 98.80 & 0.00 & 0.00 & 0.10 \\ Other Inert & 1.81 \(\pm\) 2.87 & 34.71 & 63.40 & 2.30 & 97.70 & 0.65 & 0.65 & 0.00 \\ \hline \hline \end{tabular} \({}^{*}\) PET and Tetra pack packaging were monitored but not found.  
\end{table} 
Table 3: Fragmentation composition of OFMSW and green waste, proximate and ultimate analysis for each fraction, and carbon content (divided to biogenic and fossil origin). OFMSW [9; 49; 50; 51] and only a few to mechanical sorted OFMSW [27]. This research considers the individuality of each of the consisting fragments and its different degradation rates. The degradation factors are calculated utilizing MFA methodology with data of the ash content and mass loss of each fragment in the input and output at the ACT. Figure 3: Sankey diagram for carbon mass balance in kg for OFMSW + green waste compositing processing.