Abstract:
Liquid organic material is controllably delivered to a receptacle located in the center of a heated surface capable of horizontally rotating about its central axis. As the heated surface rotates, material deposited within the central receptacle is forced outwardly and across the rotating surface. As the material moves radially, it evaporates into a vapor which is then transported to one or more nozzles. From the nozzles, the vapor is applied to a substrate and condensed. Relative to existing devices and methods, the present invention enables the evaporation of a wider variety of organic liquids, greater reliability in continuous operation, a decrease in maintenance, and a larger and more constant material flow rate.

Description:
FIELD OF THE INVENTION  
       [0001]     The present invention relates to an apparatus and a method for the improved evaporation of organic liquids for vapor deposition onto substrates in vacuum environments. Relative to existing devices and methods, the present invention enables the evaporation of a wider variety of organic liquids, greater reliability in continuous operation, a decrease in maintenance, and a larger and more constant material flow rate.  
       BACKGROUND AND OBJECTS OF THE INVENTION  
       [0002]     Numerous industries utilize evaporation-vapor deposition systems to coat substrates with desired materials. Illustrative of such applications are U.S. Pat. Nos. 4,290,384, 4,842,893, 4,490,774, 4,325,986, and 4,543,275. Specifically, organic compounds are utilized as coatings in applications as diverse as protective materials, product packaging, informational displays, and electronic devices.  
         [0003]     The process of depositing a thin layer of organic material onto a substrate consists of three major steps. First, the compound must be evaporated. Second, the organic vapor must be transported to the substrate, and third, the vapor must be condensed onto the substrate. The evaporation step, however, is in inherent conflict with the final condensation step. Easily evaporated organic compounds are hard to condense while hard to evaporate compounds are easier to condense. Because the condensation process is influenced by numerous processes that are difficult to control, efforts have concentrated on developing evaporator technology that can vaporize organic compounds at a low enough temperature to enhance the probability of condensation.  
         [0004]     To meet the requirements of many industrial applications, an evaporator-vapor deposition apparatus and method should be capable of employing a wide range of liquids, operating at low temperatures and pressures to avoid material polymerization or degradation, achieving a wide range of mass flow rates, operating continuously for substantial periods of time without requiring maintenance, and achieving a uniform deposition of material on the target substrate.  
         [0005]     Existing methods and devices for evaporating and depositing organic compounds on a substrate include ultrasonic evaporators, as shown in U.S. Pat. No. 4,842,893, and spinning disk/heated wall evaporators, as shown in U.S. Pat. No. 4,954,371.  
         [0006]     Ultrasonic evaporators are typically comprised of a liquid delivery system supplying liquid through a liquid dispenser into the center of a horn shaped structure. The horn shaped structure flares into a cone shape at one end and is positioned within an enclosed evaporation chamber with heated walls. Liquid from the dispenser is drawn through an angle of 120 degrees and onto the cone area by capillary action. The horn undergoes a sinusoidal acceleration, exerts a force on the liquid, and induces a sinusoidal pressure variation as it accelerates the liquid. The degree of acceleration is dependent upon the effective coupling strength of the solid surface of the horn to the liquid on its surface. The liquid, accelerated by the horn motion, separates into smaller droplets which leave the horn, impinge upon the heated evaporator walls, and vaporize.  
         [0007]     Problems occur, however, when the ultrasonic evaporation process is attempted in low pressure environments. At atmospheric pressure, the coupling strength between the solid horn surface and liquid is sufficient to enable acceleration and droplet formation. As pressures decrease, the more volatile components of the liquid vaporize causing the formation of vapor pockets at the interface between the liquid and horn surface, the decoupling of the liquid from the horn surface, and, consequently, the inhibition of droplet formation. Larger droplets therefore impinge the evaporator wall and, because of the temperature gradient and increased temperature in the droplet interior, the liquid polymerizes. Under low pressure environments, ultrasonic evaporators can only be operated a few hours before cleaning the polymerized liquid is required. Because this is an inherent consequence of the ultrasonic evaporator design, ultrasonic evaporators can only be operated in higher pressure environments, rendering them unsuitable for low pressure vapor formation.  
         [0008]     Conventional spinning disk/heated wall evaporators employ a capillary feeder to deliver liquid droplets to a rotating disk which then accelerates the droplets against the interior of a heated container, causing the droplets to evaporate. While the droplets when ejected off the surface of the spinning disk are small, they are unable to evaporate before subsequent drops are ejected and impinge on the same evaporator wall surface area. The result is a ring of polymerized or decomposed material that builds as a barrier between newly ejected droplets and the heat source. During operation, this system rapidly degenerates and requires frequent cleaning. This is a natural consequence of the limited surface area against which the ejected droplets may contact the heated wall. Solutions would require increasing the contact surface area through, possibly, constant vertical adjustment of the spinning disk to avoid consecutive ejectment of liquid material to the same wall area.  
         [0009]     Both conventional spinning disk and ultrasonic evaporators have disadvantages which inhibit their effective use for evaporation of organic material in low pressure environments. Both operational schemes are subject to material flow variations which cause coating thickness variations on the substrate being coated. Currently evaporators such as conventional spinning disk and ultrasonic evaporators attempt to generate a constant gas flow rate by feeding liquid material into the apparatus at a fixed volumetric flow rate through the use of a positive displacement pump. Complications arise, however, due to the low pressure in the evaporator which produces low pressure in the feed tube. Because desirable organic liquids in their commercial form are a blend of compounds with varying vapor pressures, the low pressure in the feed tube causes certain high vapor pressure components to vaporize in the feed tube prior to delivery into the evaporator, thereby creating a vapor pocket within the feed tube, forcing the rapid expulsion of liquid situated in front of the vapor pocket, and providing no liquid flow when the vapor pocket exits the feed tube. To minimize this flow variation, prior art evaporators employ feed systems which incorporate a length of capillary tubing immediately between the feed tube and the evaporator environment. The capillary tubing provides viscous frictional resistance to the liquid flow, thereby sustaining pressure in the feed tube. This solution, however, does not completely eliminate the existence of low pressure in the capillary tubing. Consequently, certain organic liquid components still tend to evaporate prior to exiting the capillary tubing, generating vapor pockets in the capillary tubing and causing a pulsation of liquid flow and pressure pulsation in the evaporator. The alternate release of liquid and vapor causes variations in coating thickness on the substrate.  
         [0010]     Additionally, because ultrasonic and conventional spinning disk evaporators have a common dependence on capillary action to deliver the requisite liquid to the evaporator apparatus, the viscosity of the liquid being evaporated is limited to that of a liquid having a viscosity less than 100 cps. When the viscosity rises above 100 cps, the pressure required to drive the liquid out of the capillary tubing becomes very high. The increased pressure raises the shear stress on the liquid thereby initiating polymerization in the capillary tubing and, consequently, rapidly leading to clogging of the tubing. To dispense fluids that have a room temperature viscosity above 100 cps is to heat the liquid. Heating, however, makes the liquid susceptible to polymerization and, therefore, could also result in clogging.  
         [0011]     Finally, because of the rapid build-up of polymerized or degraded organic material, both ultrasonic and conventional spinning disk devices have short operation times. Short operational times are inefficient and adversely impact productivity.  
       SUMMARY OF THE INVENTION  
       [0012]     The present invention represents a marked improvement over existing methods and devices for evaporating and vapor depositing organic liquids.  
         [0013]     Liquid organic material is controllably delivered to a receptacle located in the center of a heated surface capable of horizontally rotating about its central axis. As the heated surface rotates, material deposited within the central receptacle is forced outwardly and across the rotating surface. As the material moves radially, it evaporates into a vapor which is then transported to one or more nozzles. From the nozzles, the vapor applied to a substrate and condensed.  
         [0014]     A time varying orifice in combination with a conduit and a liquid delivery system supplies liquid to the evaporator without the pressure and molecular weight limitations of conventional evaporators. By increasing conduit size and eliminating the use of a capillary feeder, the present invention avoids the premature vapor formation problems of conventional evaporators and the clogging problems which occur with high molecular weight compounds.  
         [0015]     Additionally, by using a large rotating surface as the vaporizing surface, the present invention substantially increases the amount of surface area available for thermal contact with the liquid, thereby increasing the potential mass flow rates achievable and the range of organic liquids employable in an evaporator.  
         [0016]     Finally, because the present invention works in low pressure environments, unlike conventional evaporators, condensation and uniform vapor deposition are more easily facilitated.  
         [0017]     It is an object of this invention to provide an apparatus and method that increases the range of organic liquids which can be employed in a single evaporator.  
         [0018]     It is another object of this invention to provide an apparatus and method that improves the productivity of evaporators by increasing continuous operational time and decreasing maintenance requirements.  
         [0019]     It is a further object of this invention to provide an apparatus and method that provides a larger and more constant material flow rate relative to existing evaporators and that provides for uniform vapor deposition on the target substrate.  
         [0020]     It is a further object of this invention to provide an apparatus and method which eliminates the pulsation in flow and pressure that occur with prior art evaporators.  
         [0021]     It is a further object of this invention to provide an apparatus and method which increases the size of the liquid molecules that can be evaporated without cracking the chemical bonds of the molecule.  
         [0022]     It is a further object of this invention to enhance the ability to condense smaller molecules as compared to prior art evaporators.  
     
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0023]      FIG. 1  is a schematic view of an organic liquid evaporation and condensation apparatus;  
         [0024]      FIG. 2  is a side perspective of a preferred embodiment of the organic liquid evaporator;  
         [0025]      FIG. 3  is a cross-sectional side perspective view of the preferred embodiment taken from A-A′ in  FIG. 2  of the organic liquid evaporator embodying the present invention;  
         [0026]      FIG. 4  is an exploded side perspective view of a preferred embodiment of a liquid delivery system portion of the organic liquid evaporator; and  
         [0027]      FIG. 5  is a top schematic view illustrating the transportation of vapor formed within the evaporator to the final product.  
         [0028]      FIG. 6  is a cross-sectional perspective view of a preferred embodiment of a pulsed flow valve portion of the organic liquid evaporator. 
     
    
     DETAILED DESCRIPTION  
       [0029]     Referring to the drawings,  FIG. 1  illustrates an organic liquid evaporation and condensation apparatus. An evaporation chamber  1  that contains an evaporation apparatus [not shown] is connected by a duct  2  to a condensation chamber  3 . A motor  4  which drives the evaporation apparatus and a liquid delivery system  5  capable of controllably delivering liquid to the evaporation apparatus are also attached to the evaporation apparatus. The relative placement of each component in  FIG. 1  has been provided for illustration purposes and is not intended to limit the present invention to the illustrated configurations.  
         [0030]     As shown in  FIG. 2 , and more specifically in  FIG. 3 , the evaporation apparatus  6 , contained in evaporation chamber  1 , is comprised of a substantially horizontally disposed surface  7  with a depression  8  central to the surface  7  structure, which depression is capable of acting as a receptacle for liquid material. Disposed proximate to the depression  8  is a liquid outlet  9  capable of controllably delivering liquid from the liquid delivery system  5  attached to said liquid outlet by a conduit  10 . The surface  7  itself is capable of being rotated and of being heated. The surface  7  may be resistively heated, bonded to a foil heater (i.e. a Kapton foil heater of 5 watts per square inch power density), or radiantly heated by stationary coils that radiate heat to the bottom of the surface  7 , or heat may be supplied by the placement of heated material in an enclosed volume  11  located proximate to the surface  7 . The surface  7  is directly or indirectly attached to a motor  4  capable of exerting force onto the surface  7  in a manner which results in the rotation of the surface  7 .  
         [0031]     Evaporation of liquid material occurs by the application of heat and centrifugal force to the liquid material deposited in the surface depression  8 . When the surface  7  is rotating, centrifugal force exerted upon the liquid material which is positioned within the depression  8  central to the rotating surface  7  forces the liquid outwardly into a thin layer moving radially across the rotating surface  7 . Because the rotating surface is in thermal contact with a heating element, heat is conducted to the interface between the surface  7  and the thin liquid layer and causes the liquid to evaporate.  
         [0032]      FIG. 3  provides a detailed representation of the preferred embodiment of the evaporation apparatus  6 . The surface  7  is a substantially flat circular surface, referred to as a disk, which is integral with a drive shaft  13 . Disposed central to the disk  7  is the annular depression  8  within which a time varying orifice, or pulse flow valve  9 , is situated. The disk diameter should be large to provide sufficient surface area contact between the disk and liquid, thereby enabling a wide range of liquids to be evaporated. As an example, a disk machined from stainless steel with a diameter of 8 inches can be used.  
         [0033]     The pulse flow valve  9  may be an electrically actuated, pulse width modulated valve of the same type used in automobile fuel injection systems which are widely used today and for which a large body of literature exists. The SAE Technical Paper Series 880421, 881098, 850453 &amp; 840273 explain this technology as well as U.S. Pat. Nos. 4,545,352 and 4,782,807. The drive shaft  13  is fixably attached to a pulley  14  around which a belt  15 , connected to the motor  4 , is positioned. Disposed within the drive shaft  13  is a conduit  10  through which liquid material may flow from the liquid delivery system  5  into the pulse flow valve  9  and, periodically, into the annular depression  8 . Proximate to the inner periphery of the evaporation apparatus  6  but not in communication with the disk itself  7  are barriers  16 , which receive material that did not evaporate and, therefore, is radially ejected from the disk surface  7 . Ports  17  located generally underneath the barriers  16  function as passages through which vacuum pressure may be applied by a vacuum pump [not shown] to extract the material received by the barriers and to transport the material to chill traps [not shown] through a fitting  23   a.    
         [0034]     The disk  7  is heated by the application of hot liquid, preferably hot oil, controllably delivered to volume  11  which is enclosed by a housing  20  and defined at its top by the bottom surface of the disk  7 . The hot liquid flows into the volume  11  through port  19   a  and flows out of the volume  11  through port  19   b . The volume  11  within which the hot liquid is contained is sealed to prevent any mixing of the hot liquid with the liquid material being evaporated. Such mixing would contaminate the liquid material being evaporated and render it ineffective for its required use. As shown in  FIG. 3 , it is preferable to use two seals to achieve effective separation of the hot liquid and material being evaporated. A top seal  21   a  separates the area in communication with the top surface of the disk  7  and space  22  while a bottom seal  21   b  separates the volume  11  containing the hot liquid and space  22 . Space  22  is connected to a chill trap [not shown] by a passage  24  and a fitting  23   b . A benefit of the dual seal configuration is that if any hot liquid leaks through bottom seal  21   b  or any liquid material leaks through top seal  21   a , it will be trapped in the chill trap [not shown] and will indicate to the user that the seals are failing and require replacement. Additionally, around the outer periphery of the disk surface  7  is a labyrinth seal  38  which further prevents any material from entering into the seal area because centrifugal force would prevent material from moving radially inward toward the seal. The labyrinth seal  38  prevents contaminants, such as small particles of polymerized material, from reaching the seal where they could harm the seal surfaces.  
         [0035]     Two tapered roller bearings,  26   a  and  26   b , are located proximate to the drive shaft  13  inside housing  20  and are fixably positioned by double nuts and a locking washer. The hot liquid in volume  11  contacts the tapered roller bearings  26   a , thereby acting as a lubricant, but does not flow continuously through the bearings  26   a . The lower bearings  26   b  operate in concert with the upper bearings  26   a . The bearings  26   a  and  26   b  are tapered and pulled together by a nut on the drive shaft  13 . A cap  29  located at the base of the housing  20  acts as an enclosure.  
         [0036]     In addition to the disclosed components of the evaporator apparatus  6 , there are other elements, including but not limited to bolts, “O” rings, and small shaft seals, which would be utilized in operating the present invention but which have not been described in detail because they constitute engineering details that are well known to those skilled in the art of making sealed mechanical devices. Examples include a seal placed at the base of the pulse valve  9  to prevent liquid material from leaking into the conduit  10  and an “O” ring at the top of the pulse valve  9  to insure liquid material does not leak out when the valve  9  is closed.  
         [0037]     While the liquid delivery system will be described in relation to the preferred embodiment, liquid delivery systems currently being employed with conventional evaporation systems can be used in the present invention. A preferred embodiment for the liquid delivery system  5  is provided in  FIG. 4 . The system is comprised of an accumulator  30  and a screw driven, positive displacement feed pump  31  that dispenses liquid material at a constant flow rate. The accumulator  30  is attached to one input of a tee pipe connection  36 . The pump  31  is attached to a second input of the tee pipe connection  36 . The conduit  10  which, in one embodiment, is of a large inner diameter, approximately 0.25 inches, is attached to the third input of the tee pipe connection  36 .  
         [0038]     The accumulator  30  is preferably attached to the conduit  10  in a manner that minimizes the distance between the accumulator  30  and the disk  7 . The cylindrical housing  32  of the accumulator  30  receives a floating piston  33  which is sealed to the inner diameter of the housing  30  by an “O” ring  34 . To minimize inertia, the piston  33  is preferably hollow and made of a light weight metal, such as aluminum. The piston  33  has a solid flat surface facing the interface between the accumulator  30  and conduit  10  and acts to minimize the dead volume in the accumulator  30 . The opposite end of the piston is pressurized by a regulator  35  which is attached to an air supply [not shown].  
         [0039]     The conduit  10 , disposed within the drive shaft  13 , delivers the liquid material to the pulse flow valve  9 , which dispenses the material into the central annular depression  8  of the disk  7 . A preferred embodiment of the pulse flow valve is shown in  FIG. 6 . The conduit  10  is fixably attached to a cylindrical steel block  42  which has a horizontally disposed hole  44 . The evaporator assembly  49  consists of the surface  7 , from which the organic material evaporates, that is integral with the drive shaft  13 . The depression  8  is integral to the assembly  49 , extending below the surface  7  and positioned concentric to the conduit  10 . Interior to the depression  8  and integral with the assembly  49  is a cylindrical projection  47  with a bottom surface  48 . Concentrically positioned relative to the projection  47  is a PTFE cup  40  that is attached to the bottom surface  48  and that rotates with the assembly  49 . The block  42  is concentric with and situated within the PTFE cup  40 . To prevent organic liquid from flowing out of the evaporator and/or air from flowing into the evaporator, a seal  43  is placed below the PTFE cup  40 , preferably a lip seal  43  which is pressed into an annular groove  50  that is machined into the assembly  49 . Cross passages  44 ,  45 ,  46  are provided in the block  42 , PTFE cup  40 , and cylindrical projection  47  respectively. Cross passage  46  in the projection  47  connects to the bottom of depression  8 . Because the PTFE cup  40  rotates with the assembly  49  while the block  42  is fixed to the conduit  10  and does not rotate, passages  44  and  45  within block  42  and PTFE cup  40  are aligned once per revolution of the assembly  49 . Specifically, in the course of a revolution, cross passages  44  and  45  are misaligned, have their diameter edges touch, begin to overlap, increase in the amount of overlap, substantially coincide, and then decrease in the amount of overlap until misalignment again occurs. The periodic overlap of the block and PTFE cup passages  44  and  45  permit the dispensation of liquid into the depression  8 .  
         [0040]     While the scope of this invention is not limited to any particular structural dimensions or operational parameters for the pulse flow valve, a preferred embodiment of this invention incorporates a block  42  with an outer diamater of about one inch and cross passages  44 ,  45 , and  46  with diameters of about 0.25 inches. Consequently, the cross passages, having a maximum circumferential overlap of about 0.5 inches, overlap about 16% of a revolution period, as measured relative to the circumference of the block  42 . During the overlap period, the valve is considered “open” and material from the pump  31  and material stored in the accumulator  30  flow into the depression  8  and out and across the surface  7 .  
         [0041]     The liquid delivery system  5  in combination with the conduit  10  and pulse valve  9  operate to periodically supply the annular depression  8  located in the center of the disk  7  with organic liquid. The pump  31  generates a constant flow of organic liquid. When the valve  9  is closed, the accumulator  30 , which is pressurized by air, receives the pump  31  output. When the valve  9  opens, liquid stored in the accumulator  30  in combination with flow directly from the pump  31  is dispensed into the annular depression  8 . The gas pressurized accumulator  30  acts to accelerate the liquid into the conduit  10  and out the open valve  9 .  
         [0042]     When the valve operation is modeled, a non-linear differential equation is derived: 
 
 dV/dt+V   2 /(2 kL )( A   t   /A   o ) 2   =P   a /(ρ′ L ) 
        where 
            ρ′=(1+β)     ρ=fluid density     β=correction factor ˜0.05     V=fluid velocity in conduit     t=time     k=valve orifice coefficient     L=conduit length     A t =variable area of valve over time     A o =valve orifice area     P a =pressure at accumulator 
 
 When solved, it is found that the design is applicable for differing conditions and is not significantly affected by variations in the chemical compositions of liquids, such as viscosity, for large diameter conduits. 
   
               
 
         [0054]     The pulse valve  9  has the added benefit of mitigating some of the primary limitations of positive displacement pumps arising from the use of high viscosity liquids and their tendency to outgas between pump and outlet. Those limitations include drooling, particularly at startup, non-uniformity of flow at very slow flow rates, difficulty in producing pulsed or intermittent flow, and need to match capillary size to each organic liquid and its respective flow rate. Additionally, the pulse valve configuration is not susceptible to the premature vaporization problems encountered with the capillary feeders currently being used in existing evaporators.  
         [0055]     As shown in  FIG. 1 , and more specifically in  FIG. 5 , the duct  2  connects the evaporation chamber  1  to the condensation chamber  3  and transports the evaporated material to the condensation chamber  3 . Once in the condensation chamber  3 , the vapor is passed through one or more nozzles  37  and applied to a substrate. While the present invention may be used to coat an unlimited variety of substrates ranging from compact discs to three meter wide web coaters, the description provided herein will refer to web coaters for convenience of reference.  
         [0056]     The duct temperature and pressure must be regulated to insure vapor generated from the evaporation chamber does not condense or polymerize in the duct  2 . The temperature and pressure of the duct is dependent upon the specific characteristics of the organic liquid being evaporated and condensed. Determining the appropriate duct temperature and pressure by analyzing material characteristics such as the vapor-temperature curve and sensitivity to heat cure is within the skill of one skilled in the relevant art. Duct temperature may be regulated by resistive heating or by placing the duct in thermal contact with a liquid of the required temperature. Ideally, the duct  2  would be of insignificant length, thereby resulting in no pressure drop and requiring no temperature regulation. As a practical matter, the length of the duct should be minimized. For ducts used to transport vapor to a nozzle, typical conditions are 1) a 5% variation of pressure due to friction in the duct along the nozzle length, 2) a vapor temperature of 450 K, and 3) a molecular weight of 600.  
         [0057]     To effectively attain uniform thickness of the condensate on the final product, the flow of vapor out of the nozzle must be choked or, in other words, must be at sonic velocity at the nozzle throat. Sonic velocity is attained at the throat of a nozzle when the pressure at the throat is low enough that the ratio of discharge pressure (P 2 ) to entering pressure (P) is equal to or less than a critical value (P 2 /P 1 ≦CV). For large molecules, choked flow occurs when the pressure drop is less than 0.6 (downstream pressure&lt;60% of pressure into the nozzle).  
         [0058]     Given sonic velocity is attained, the only source of web thickness variation becomes the viscous friction loss along the length of the duct. Because vapor velocity is fixed at sonic velocity at the throat of the nozzle, the only variation in mass flow rate, and thereby the only variation in condensed film thickness, is due to variations in vapor density. Variations in vapor density, in turn, are proportional to pressure variations. The only source of pressure variation, assuming a constant evaporation rate, is viscous friction loss along the length of the duct.  
         [0059]     It is important to design the nozzle width and duct diameter in a manner which would provide the requisite pressure drop because a sufficient pressure drop must be available at the nozzle throat to meet the required P 2 /P 1  ratio. While narrow ducts are employed in the prior art to transport vapor, large ducts have distinct advantages over the narrow ducts currently being used. Specifically, the size of the duct  2  must be large enough so that the frictional pressure drop along the duct length is less than an allowable variation limit. If the pressure drop along the duct is too great, the critical value will be exceeded and the maximum film thickness variation limit will be violated. Large ducts permit the operational evaporation pressure to be reduced. A reduction in operational evaporation pressure reduces the required operational evaporation temperature, thereby minimizing polymerization and cracking and allowing for the vaporization of larger molecules while imparting less energy to the vapor which, consequently, facilitates the condensation of the vapor. Because of an increased ease in condensation, an increased range in low molecular weight liquids may be employed in the present invention.  
         [0060]     Uniformity across the web is obtained with choked flow through a nozzle of constant height, a width equal to that of the web and a uniform pressure on the upstream side. The difficulty, however, is maintaining a constant pressure immediately upstream of the nozzle, especially if the evaporator pressure is to be kept low, since the volumetric flow rates are very large.  
         [0061]     To determine what duct diameter and nozzle width should be employed to achieve uniform condensation on the substrate, the following equations may be employed: 
 
Duct Diameter (D)=3.5[( dm/dt )* L /( P   mean ) 2 ] 1/4  
        where 
            D=duct diameter (meters)     dm/dt=mass flow rate (kg/sec)     L=duct length (meters)     P mean =mean pressure (pascal) 
 
Nozzle opening width (h)=[ dm/dt /( P   mean   L )[]( RT )/(ηγ)] 1/2  
   
            where 
            dm/dt=mass flow rate     P mean =mean pressure     L=nozzle length     R=gas constant=8315 J/mole-K     T=temperature in Kelvins     η=molecular weight     γ=adiabatic exponent of vapor (about 1.15 for large molecules) 
 
 The duct diameter equation is a simplification of the full differential equation provided herein. In practice, the aforementioned typical duct conditions for vapor temperature (450 K) and molecular weight (600), vary from about 420 K to about 560 K for vapor temperature and from about 200 to about 1000 for molecular weight. Because the optimal duct diameter is in part defined by the actual vapor temperature of the system and molecular weight of the material, the variation in vapor temperature and molecular weight can be used to define a range for the optimal duct diameter. The approximate minimum of the range can be calculated as a percentage of the central value, provided by the aforementioned equation, by the following formula: 
 
 PCV   min =[( VT   min )/( VT   central )] 1/4 *[( MW   min )/( MW   central )] 5/24  
   
            where 
            PCV min =Percentage of Central Value (Min.)     VT min =Vapor Temperature (Min.)=420 K     VT central =Vapor Temperature (Central)=450 K     MW min =Molecular Weight (Min.)=200 K     MW central =Molecular Weight (Central)=600 K 
 
 Similarly, the approximate maximum of the range can be calculated by the following formula: 
 
 PCV   max =[( VT   max )/( VT   central )] 1/4 *[( MW   max )/( MW   central )] 5/24  
   
            where 
            PCV max =Percentage of Central Value (Max.)     VT max =Vapor Temperature (Max)=560 K     VT central =Vapor Temperature (Central)=450 K     MW max =Molecular Weight (Max)=1000 K     MW central =Molecular Weight (Central)=600 K 
 
 When calculated, the minimum and maximum ranges for vapor temperature and molecular weight define the optimal duct diameter to be within 25% of the nominal value, as provided by the aforementioned equation. In practice, the duct diameter should be, at minimum, larger than 75% of the nominal value. 
   
               
 
         [0087]     It would further be possible to compensate for the 5% variation in mass flow rate existant within the duct/nozzle system by using a nozzle having a width that varies along its length. Because mass flow rate through a nozzle is proportional to ita area, properly designed width variation, thereby causing a variation in area, could effectively compensate for the 5% mass flow variation. For example, a nozzle that tapers out from a width of 10 mm to 10.5 mm could be employed.  
         [0088]     To optimally operate the liquid delivery system and evaporator apparatus of the present invention, several operational goals should be adhered to. The evaporator should be operated at low pressure because low pressure inhibits polymerization of the organic material being vaporized and permits the generation of cooler vapor, thereby easing condensation. Unlike existing evaporator devices, the present invention is capable of operating at low pressures without prematurely generating vapor and, consequently, highly variable mass flow rates.  
         [0089]     Additionally, there must be sufficient surface area of the heated liquid in contact with the vapor in the liquid feed system to enable the use of a large range of mass flow rates. Unlike conventional spinning disk/heated wall evaporators, the present invention provides a large surface area upon which liquid can be radially directed and evaporated, thereby drastically increasing the range of mass flow rates achievable.  
         [0090]     To avoid non-uniform evaporation of the liquid once on the evaporation surface, the liquid layer on the rotating surface must be thin enough to avoid the creation of a temperature gradient which would result in incomplete vaporization of the liquid or polymerization of liquid. The uniformity of temperature inside a body is measured by the Biot number which is equal to the ratio of the body&#39;s internal resistance to the flow of heat to the body&#39;s resistance to heat entering the body. 
 
Biot Number (Bi)=ht/k 
        where 
            h=the film coefficient     t=the film thickness     k=conductivity 
 
 Where Bi&lt;&lt;1 the temperature through the body can be considered uniform. As an example, the thermal conductivity for all acrylates is around 0.2 to 0.3 W/M-K at 100 degrees Celsius and film coefficients for a liquid-solid interface are approximately 100 W/M 2 -K. In order to get the desired temperature uniformity, the Biot number must be sufficiently less than 1. In this case, a film thickness of 0.1 mm (0.004 inches) would generate a Biot number of 0.04, indicating that the film would be sufficiently uniform in temperature. 
   
               
 
         [0095]     Provided the aforementioned operational parameters are generally adhered to, the present invention can be used to evaporate a wide variety of organic liquids while still maintaining a relatively constant mass flow rate and achieving increased operation time over existing evaporators.  
         [0096]     While the invention has been described in connection with preferred embodiments, the present invention is not limited to those embodiments and should be considered to include all alternatives, modifications, and equivalents that may be included within the scope of the invention as defined by the claims.