Cooling ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
q = (T2-T3)/(T2-T1)
This formula uses 4 Variables
Variables Used
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 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.
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 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
Discharge Temperature at High Pressure Compressor: 310 Kelvin --> 310 Kelvin 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
q = (T2-T3)/(T2-T1) --> (400-310)/(400-300)
Evaluating ... ...
q = 0.9
STEP 3: Convert Result to Output's Unit
0.9 --> No Conversion Required
FINAL ANSWER
0.9 <-- Cooling Ratio
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune
Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!
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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)

Cooling ratio Formula

​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)
q = (T2-T3)/(T2-T1)

Effects of Compressor Overheating

1. The oil loses its lubricating abilities as soon as the temperature inside the compressor casing exceeds the limit recommended by the manufacturer. Improper lubrication could result in premature wear and damage to the cylinder, bearings, and piston rings.
2. The oil and refrigerant exposed to high temperatures undergo thermal decomposition. This reaction may accelerate the erosive wear rate of system components. Additionally, the solid particulate matter resulting from oil and refrigerant decomposition could line the internal surfaces of the compressor, control valves, and pipes, eventually causing compressor failure.
3. The circuit breaker trips repeatedly. Because an overheated compressor draws too much power, most systems are equipped with a circuit breaker that trips under overload conditions to protect the system. A circuit breaker that keeps tripping can hinder the entire cooling process, negatively affecting refrigeration efficiency.

How to Calculate Cooling ratio?

Cooling ratio calculator uses 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) to calculate the Cooling Ratio, Cooling ratio formula is defined as a dimensionless value that expresses the efficiency of a refrigeration system, comparing the temperature differences between the hot and cold sides of the system, providing a measure of the system's ability to transfer heat. Cooling Ratio is denoted by q symbol.

How to calculate Cooling ratio using this online calculator? To use this online calculator for Cooling ratio, enter Suction Temperature at High Pressure Compressor (T2), Discharge Temperature at High Pressure Compressor (T3) & Suction Temperature at Low Pressure Compressor (T1) and hit the calculate button. Here is how the Cooling ratio calculation can be explained with given input values -> 0.9 = (400-310)/(400-300).

FAQ

What is Cooling ratio?
Cooling ratio formula is defined as a dimensionless value that expresses the efficiency of a refrigeration system, comparing the temperature differences between the hot and cold sides of the system, providing a measure of the system's ability to transfer heat and is represented as q = (T2-T3)/(T2-T1) or 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). The Suction Temperature at High Pressure Compressor is the temperature of the refrigerant at the inlet or temperature of the refrigerant leaving the intercooler, Discharge Temperature at High Pressure Compressor is the temperature at which refrigerant leaves the compressor & Suction Temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.
How to calculate Cooling ratio?
Cooling ratio formula is defined as a dimensionless value that expresses the efficiency of a refrigeration system, comparing the temperature differences between the hot and cold sides of the system, providing a measure of the system's ability to transfer heat is calculated using 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). To calculate Cooling ratio, you need Suction Temperature at High Pressure Compressor (T2), Discharge Temperature at High Pressure Compressor (T3) & Suction Temperature at Low Pressure Compressor (T1). With our tool, you need to enter the respective value for Suction Temperature at High Pressure Compressor, Discharge Temperature at High Pressure Compressor & 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.
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