Discharge Temperature at High pressure compressor when Cooling ratio is constant Calculator

✖Suction Pressure of Low Pressure Compressor is the pressure of the refrigerant at the point where it enters the Low pressure compressor. It is also called Evaporator pressure.ⓘ Suction Pressure of Low Pressure Compressor [P₁]			+10% -10%
✖Cooling Ratio is defined as the ratio of heat abstracted by the cooling system to the heat abstracted to bring the refrigerant to the initial temperature.ⓘ Cooling Ratio [q]			+10% -10%
✖The Discharge pressure of Low pressure compressor is the pressure of the refrigerant at the point where it exits the Low-Pressure compressor. It is also called Pressure at the entry of intercooler.ⓘ Discharge Pressure of Low Pressure Compressor [P₂]			+10% -10%
✖Polytropic Index For Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.ⓘ Polytropic Index For Compression [n_c]			+10% -10%

✖Discharge Temperature at High Pressure Compressor is the temperature at which refrigerant leaves the compressor.ⓘ Discharge Temperature at High pressure compressor when Cooling ratio is constant [T₃]

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Discharge Temperature at High pressure compressor when Cooling ratio is constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge Temperature at High Pressure Compressor = Suction Pressure of Low Pressure Compressor*(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression))
T₃ = P₁*(q+(1-q)*(P₂/P₁)^((n_c-1)/n_c))
This formula uses 5 Variables

Variables Used

Discharge Temperature at High Pressure Compressor - (Measured in Kelvin) - Discharge Temperature at High Pressure Compressor is the temperature at which refrigerant leaves the compressor.
Suction Pressure of Low Pressure Compressor - (Measured in Pascal) - Suction Pressure of Low Pressure Compressor is the pressure of the refrigerant at the point where it enters the Low pressure compressor. It is also called Evaporator pressure.
Cooling Ratio - Cooling Ratio is defined as the ratio of heat abstracted by the cooling system to the heat abstracted to bring the refrigerant to the initial temperature.
Discharge Pressure of Low Pressure Compressor - (Measured in Pascal) - The Discharge pressure of Low pressure compressor is the pressure of the refrigerant at the point where it exits the Low-Pressure compressor. It is also called Pressure at the entry of intercooler.
Polytropic Index For Compression - Polytropic Index For Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.

STEP 1: Convert Input(s) to Base Unit

Suction Pressure of Low Pressure Compressor: 0.00243 Bar --> 243 Pascal (Check conversion here)
Cooling Ratio: 0.9 --> No Conversion Required
Discharge Pressure of Low Pressure Compressor: 7 Bar --> 700000 Pascal (Check conversion here)
Polytropic Index For Compression: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T₃ = P₁*(q+(1-q)*(P₂/P₁)^((n_c-1)/n_c)) --> 243*(0.9+(1-0.9)*(700000/243)^((1.2-1)/1.2))

Evaluating ... ...

T₃ = 310.361769028767

STEP 3: Convert Result to Output's Unit

310.361769028767 Kelvin --> No Conversion Required

FINAL ANSWER

310.361769028767 ≈ 310.3618 Kelvin <-- Discharge Temperature at High Pressure Compressor

(Calculation completed in 00.004 seconds)

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Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

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Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< Minimum Work Calculators

Minimum Work required when Cooling Ratio is fixed

LaTeX Go Work Required = (Polytropic Index For Compression/(Polytropic Index For Compression-1))*Mass of Refrigerant in kg Per Minute*[R]*((Suction Temperature at Low Pressure Compressor*(Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/(2*Polytropic Index For Compression))+Discharge Temperature of Refrigerant*(Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/(2*Polytropic Index For Compression))-Suction Temperature at Low Pressure Compressor-Discharge Temperature at High Pressure Compressor))

Minimum Work required when Temperature at end of Cooling in Intercooler is fixed

LaTeX Go Work Required = 2*(Polytropic Index For Compression/(Polytropic Index For Compression-1))*Mass of Refrigerant in kg Per Minute*[R]*Suction Temperature at Low Pressure Compressor*((Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/(2*Polytropic Index For Compression))-1)

Minimum Work required when Cooling Ratio is fixed and Intercooling is Perfect

LaTeX Go Work Required = 2*(Polytropic Index For Compression/(Polytropic Index For Compression-1))*Mass of Refrigerant in kg Per Minute*[R]*Suction Temperature of Refrigerant*((Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/(2*Polytropic Index For Compression))-1)

Cooling ratio

LaTeX Go Cooling Ratio = (Suction Temperature at High Pressure Compressor-Discharge Temperature at High Pressure Compressor)/(Suction Temperature at High Pressure Compressor-Suction Temperature at Low Pressure Compressor)

Discharge Temperature at High pressure compressor when Cooling ratio is constant Formula

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What is Cooling ratio?

The cooling ratio is defined as the ratio of heat abstracted by the cooling system to the heat abstracted to bring the refrigerant to the initial temperature.

How to Calculate Discharge Temperature at High pressure compressor when Cooling ratio is constant?

Discharge Temperature at High pressure compressor when Cooling ratio is constant calculator uses Discharge Temperature at High Pressure Compressor = Suction Pressure of Low Pressure Compressor*(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression)) to calculate the Discharge Temperature at High Pressure Compressor, Discharge Temperature at High pressure compressor when Cooling ratio is constant formula is defined as the temperature at the outlet of a high-pressure compressor when the cooling ratio is constant, which is a critical parameter in determining the performance and efficiency of a compressor in a refrigeration or gas compression system. Discharge Temperature at High Pressure Compressor is denoted by T₃ symbol.

How to calculate Discharge Temperature at High pressure compressor when Cooling ratio is constant using this online calculator? To use this online calculator for Discharge Temperature at High pressure compressor when Cooling ratio is constant, enter Suction Pressure of Low Pressure Compressor (P₁), Cooling Ratio (q), Discharge Pressure of Low Pressure Compressor (P₂) & Polytropic Index For Compression (n_c) and hit the calculate button. Here is how the Discharge Temperature at High pressure compressor when Cooling ratio is constant calculation can be explained with given input values -> 200.0389 = 243*(0.9+(1-0.9)*(700000/243)^((1.2-1)/1.2)).

FAQ

What is Discharge Temperature at High pressure compressor when Cooling ratio is constant?

Discharge Temperature at High pressure compressor when Cooling ratio is constant formula is defined as the temperature at the outlet of a high-pressure compressor when the cooling ratio is constant, which is a critical parameter in determining the performance and efficiency of a compressor in a refrigeration or gas compression system and is represented as T₃ = P₁*(q+(1-q)*(P₂/P₁)^((n_c-1)/n_c)) or Discharge Temperature at High Pressure Compressor = Suction Pressure of Low Pressure Compressor*(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression)). Suction Pressure of Low Pressure Compressor is the pressure of the refrigerant at the point where it enters the Low pressure compressor. It is also called Evaporator pressure, Cooling Ratio is defined as the ratio of heat abstracted by the cooling system to the heat abstracted to bring the refrigerant to the initial temperature, The Discharge pressure of Low pressure compressor is the pressure of the refrigerant at the point where it exits the Low-Pressure compressor. It is also called Pressure at the entry of intercooler & Polytropic Index For Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.

How to calculate Discharge Temperature at High pressure compressor when Cooling ratio is constant?

Discharge Temperature at High pressure compressor when Cooling ratio is constant formula is defined as the temperature at the outlet of a high-pressure compressor when the cooling ratio is constant, which is a critical parameter in determining the performance and efficiency of a compressor in a refrigeration or gas compression system is calculated using Discharge Temperature at High Pressure Compressor = Suction Pressure of Low Pressure Compressor*(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression)). To calculate Discharge Temperature at High pressure compressor when Cooling ratio is constant, you need Suction Pressure of Low Pressure Compressor (P₁), Cooling Ratio (q), Discharge Pressure of Low Pressure Compressor (P₂) & Polytropic Index For Compression (n_c). With our tool, you need to enter the respective value for Suction Pressure of Low Pressure Compressor, Cooling Ratio, Discharge Pressure of Low Pressure Compressor & Polytropic Index For Compression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge Temperature at High Pressure Compressor?

In this formula, Discharge Temperature at High Pressure Compressor uses Suction Pressure of Low Pressure Compressor, Cooling Ratio, Discharge Pressure of Low Pressure Compressor & Polytropic Index For Compression. We can use 1 other way(s) to calculate the same, which is/are as follows -

Discharge Temperature at High Pressure Compressor = Suction Temperature at High Pressure Compressor-Cooling Ratio*(Suction Temperature at High Pressure Compressor-Suction Temperature at Low Pressure Compressor)

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