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 - 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.
Suction temperature at Low pressure Compressor - (Measured in Kelvin) - The 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: 6 --> 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) --> 400-6*(400-300)
Evaluating ... ...
T3 = -200
STEP 3: Convert Result to Output's Unit
-200 Kelvin --> No Conversion Required
FINAL ANSWER
-200 Kelvin <-- Discharge Temperature at high pressure compressor
(Calculation completed in 00.004 seconds)

Credits

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune
Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!
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8 Minimum Work Required for a Two-Stage Reciprocating Compressor 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)
Suction Temperature at Low pressure compressor when Cooling ratio is constant
Go Suction temperature at Low pressure Compressor = Discharge Temperature at high 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))
Discharge Temperature at High pressure compressor when Cooling ratio is constant
Go 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 Temperature at Low Pressure Compressor given Cooling Ratio
Go Suction temperature at Low pressure Compressor = ((Suction Temperature at High Pressure Compressor*Cooling ratio)-Suction Temperature at High Pressure Compressor+Discharge Temperature at high pressure compressor)/Cooling ratio
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
Go 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)

Discharge Temperature at High Pressure Compressor given Cooling Ratio Formula

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)

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, The Discharge Temperature at High Pressure Compressor given Cooling Ratio formula is defined as the temperature at which the refrigerant leaves the high-pressure compressor. 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 -> -200 = 400-6*(400-300).

FAQ

What is Discharge Temperature at High Pressure Compressor given Cooling Ratio?
The Discharge Temperature at High Pressure Compressor given Cooling Ratio formula is defined as the temperature at which the refrigerant leaves the high-pressure compressor 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, 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 & The 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?
The Discharge Temperature at High Pressure Compressor given Cooling Ratio formula is defined as the temperature at which the refrigerant leaves the high-pressure compressor 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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