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# Thermodynamic Calculations of Vapor Compression Refrigeration Cycle with Regeneration

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Thermodynamic Calculations of  Vapor Compression Refrigeration Cycle with Regeneration

Author: Volodymyr voloshchuk

Vl.volodya@gmail.com

 Introduction There are a variety of ways that the refrigeration cycle can be tailored to suit an application in a better way (not always necessarily resulting in a higher COP) than the simple (basic) vapor compression cycle. Addition of a single heat exchanger to the basic vapor compression cycle, exchanging heat between the fluid leaving the evaporator and the fluid leaving the condenser benefits of this cycle modification. First, since the specific enthalpy remains constant during expansion, a reduction of the specific enthalpy prior to expansion results in a reduction of specific enthalpy prior to evaporation. Therefore the unit will have more evaporative heat transfer to provide more evaporator cooling capacity. Second, the state prior to compression is further away from the saturated vapor line. For most compressors, it is imperative that the state of the refrigerant prior to compression does not have any liquid in the form of droplets or mist, since liquid entrained in a vapor undergoing compression tends to damage the fast moving parts of a compressor, seriously degrading the performance and working life span of the compressor. For this reason, it is usually desirable for the refrigerant to enter the compressor as a superheated vapor, several degrees above the saturation temperature at the pre-compression pressure. The internal heat exchanger, by increasing the enthalpy and temperature of the pre-compression refrigerant, assists in ensuring that a superheated vapor with no liquid droplets enters the compressor. This application is for thermodynamic calculations of  vapor compression refrigeration cycle with regeneration

Creation functions on properties and processes of working fluids

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Vapor pressure on the saturated line as a function of temperature

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Liquid pressure on the saturated line as a function of temperature

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Liquid temperature on the saturated line as a function of pressure

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Vapor temperature on the saturated line as a function of pressure

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Liquid specific enthalpy on the saturated line as a function of temperature

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Liquid specific enthalpy on the saturated line as a function of pressure

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Vapor specific enthalpy on the saturated line as a function of pressure

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Liquid specific entropy on the saturated line as a function of temperature

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Liquid specific entropy on the saturated line as a function of pressure

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Vapor specific entropy on the saturated line as a function of pressure

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Temperature as a function of pressure and specific entropy

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Temperature as a function of pressure and specific enthalpy

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Specific enthalpy as a function of pressure and temperature

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Specific entropy as a function of pressure and temperature

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Input Data

Temperature of heat source fluid at evaporator outlet

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 (3.1)

Temperature of heat consumption fluid at condenser outlet

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 (3.2)

Temperature difference at the cold end of the evaporator

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 (3.3)

Temperature difference at the hot end of the condenser

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 (3.4)

Temperature difference at hot end of the regenerator

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 (3.5)

Isentropic efficiency of the compressor

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 (3.6)

Working fluid

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 (3.7)

Calculations

Temperature of  the working fluid at the evaporator intlet

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 (4.1)

Pressure of  the working fluid at the evaporator intlet

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 (4.2)

Pressure of  the working fluid at the compressor outlet

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 (4.3)

Pressure of  the working fluid at the condenser outlet

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 (4.4)

Temperature of  the working fluid at the condenser outlet

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 (4.5)

Specific enthalpy of  the working fluid at the condenser outlet

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 (4.6)

Specific entropy of  the working fluid at the condenser outlet

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 (4.7)

Pressure of  the working fluid at the compressor intlet

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 (4.8)

Temperature of  the working fluid at the compressor intlet

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 (4.9)

Specific enthalpy of  the working fluid at the compressor intlet

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 (4.10)

Specific entropy of  the working fluid at the compressor intlet

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 (4.11)

Specific enthalpy of  the working fluid at the compressor outlet

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 (4.12)

Enhtalpy change in the compressor after actual compression

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 (4.13)

Temperature of  the working fluid at the compressor outlet

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 (4.14)

Specific entropy of  the working fluid at the compressor outlet

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 (4.15)

Temperature of saturated liquid of  the working fluid at the evaporator inlet

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 (4.16)

Specific enthalpy of saturated liquid of  the working fluid at the evaporator inlet

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 (4.17)

Pressure of  the working fluid at the compressor intlet

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 (4.18)

Temperature of saturated vapor of  the working fluid at the evaporator outlet

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 (4.19)

Specific enthalpy of saturated vapor of  the working fluid at the evaporator outlet

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 (4.20)
Specific enthalpy of the working fluid at the regenerator outlet

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 (4.21)

Pressure of  the working fluid at the regenerator outlet

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 (4.22)

Temperature of  the working fluid at the regenerator outlet

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 (4.23)

Specific entropy of  the working fluid at the regenerator outlet

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 (4.24)

Specific enthalpy of  the working fluid at the evaporator intlet

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 (4.25)

Quality of  the working fluid at the evaporator intlet

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 (4.26)

Specific entropy of saturated liquid of  the working fluid at the evaporator inlet

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 (4.27)

Specific entropy of saturated vapor of  the working fluid at the evaporator outlet

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 (4.28)

Specific entropy of  the working fluid at the evaporator inlet

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 (4.29)

Heat rejection in the condenser

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 (4.30)

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 (4.31)

Coefficent of performance of a refrigerator

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 (4.32)

Coefficent of performance of a heat pump

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 (4.33)

Plot the Refrigeration Cycle on a P-h-T Chart

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