Discharge Temperature at High Pressure Compressor given Cooling Ratio Calculator

✖The Suction Temperature at High Pressure Compressor is the temperature of the refrigerant at the inlet or temperature of the refrigerant leaving the intercooler.ⓘ Suction Temperature at High Pressure Compressor [T₂]			+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%
✖Suction Temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.ⓘ Suction Temperature at Low Pressure Compressor [T₁]			+10% -10%

✖Discharge Temperature at High Pressure Compressor is the temperature at which refrigerant leaves the compressor.ⓘ Discharge Temperature at High Pressure Compressor given Cooling Ratio [T₃]

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Formula

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Discharge Temperature at High Pressure Compressor given Cooling Ratio

Formula

T 3 = T 2 - q \cdot (T 2 - T 1)

Example

310 K = 400 K - 0.9 \cdot (400 K - 300 K)

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Discharge Temperature at High Pressure Compressor given Cooling Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T₃ = T₂-q*(T₂-T₁)
This formula uses 4 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 Temperature at High Pressure Compressor - (Measured in Kelvin) - The Suction Temperature at High Pressure Compressor is the temperature of the refrigerant at the inlet or temperature of the refrigerant leaving the intercooler.
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.
Suction Temperature at Low Pressure Compressor - (Measured in Kelvin) - Suction Temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.

STEP 1: Convert Input(s) to Base Unit

Suction Temperature at High Pressure Compressor: 400 Kelvin --> 400 Kelvin No Conversion Required
Cooling Ratio: 0.9 --> No Conversion Required
Suction Temperature at Low Pressure Compressor: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T₃ = T₂-q*(T₂-T₁) --> 400-0.9*(400-300)

Evaluating ... ...

T₃ = 310

STEP 3: Convert Result to Output's Unit

310 Kelvin --> No Conversion Required

FINAL ANSWER

310 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

Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!

Verified by sanjay shiva

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

sanjay shiva has verified this Calculator and 100+ more calculators!

< Minimum Work Calculators

Minimum Work required when Cooling Ratio is fixed

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

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

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

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 given Cooling Ratio Formula

What are causes to get compressor heated?

The most common cause of an air compressor shutting down is overheating. As temperatures rise, air compressors are especially prone to overheating. A dirty radiator, low oil level, or mechanical issues within your air compressor system could be the actual reason for excessive heat.

How to Calculate Discharge Temperature at High Pressure Compressor given Cooling Ratio?

Discharge Temperature at High Pressure Compressor given Cooling Ratio calculator uses 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) to calculate the Discharge Temperature at High Pressure Compressor, Discharge Temperature at High Pressure Compressor given Cooling Ratio formula is defined as a measure of the temperature at the outlet of a high-pressure compressor, which is influenced by the cooling ratio and is critical in determining the minimum work required in a thermodynamic process. Discharge Temperature at High Pressure Compressor is denoted by T₃ symbol.

How to calculate Discharge Temperature at High Pressure Compressor given Cooling Ratio using this online calculator? To use this online calculator for Discharge Temperature at High Pressure Compressor given Cooling Ratio, enter Suction Temperature at High Pressure Compressor (T₂), Cooling Ratio (q) & Suction Temperature at Low Pressure Compressor (T₁) and hit the calculate button. Here is how the Discharge Temperature at High Pressure Compressor given Cooling Ratio calculation can be explained with given input values -> 310 = 400-0.9*(400-300).

FAQ

What is Discharge Temperature at High Pressure Compressor given Cooling Ratio?

Discharge Temperature at High Pressure Compressor given Cooling Ratio formula is defined as a measure of the temperature at the outlet of a high-pressure compressor, which is influenced by the cooling ratio and is critical in determining the minimum work required in a thermodynamic process and is represented as T₃ = T₂-q*(T₂-T₁) or 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). The Suction Temperature at High Pressure Compressor is the temperature of the refrigerant at the inlet or temperature of the refrigerant leaving the intercooler, 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 & Suction Temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.

How to calculate Discharge Temperature at High Pressure Compressor given Cooling Ratio?

Discharge Temperature at High Pressure Compressor given Cooling Ratio formula is defined as a measure of the temperature at the outlet of a high-pressure compressor, which is influenced by the cooling ratio and is critical in determining the minimum work required in a thermodynamic process is calculated using 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). To calculate Discharge Temperature at High Pressure Compressor given Cooling Ratio, you need Suction Temperature at High Pressure Compressor (T₂), Cooling Ratio (q) & Suction Temperature at Low Pressure Compressor (T₁). With our tool, you need to enter the respective value for Suction Temperature at High Pressure Compressor, Cooling Ratio & Suction Temperature at Low Pressure Compressor 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 Temperature at High Pressure Compressor, Cooling Ratio & Suction Temperature at Low Pressure Compressor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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