Refrigeration Effect Produced Calculator

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Air Refrigeration Systems

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Reduced Ambient Air Cooling System

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✖Mass of air is both a property of air and a measure of its resistance to acceleration when a net force is applied.ⓘ Mass of Air [ma]			+10% -10%
✖Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Inside temperature of cabin is the temperature inside the aircraft due to the occupancy and heating equipments.ⓘ Inside temperature of cabin [T₆]			+10% -10%
✖Actual temperature at end of isentropic expansion is the exit temperature of the cooling turbine and is the temperature at which the refrigeration process starts.ⓘ Actual temperature at end of isentropic expansion [T5^']			+10% -10%

✖Refrigeration Effect Produced defines the amount of cooling produced by a system. This cooling is obtained at the expense of some form of energy.ⓘ Refrigeration Effect Produced [R_E]

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Formula

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Refrigeration Effect Produced

Formula

`"R"_{"E"} = "ma"*"C"_{"p"}*("T"_{"6"}-"T5"^{"'"})`

Example

`"603kJ/min"="120kg/min"*"1.005kJ/kg*K"*("270K"-"265K")`

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Refrigeration Effect Produced Solution

STEP 0: Pre-Calculation Summary

Formula Used

Refrigeration Effect Produced = Mass of Air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion)
R_E = ma*C_p*(T₆-T5^')
This formula uses 5 Variables

Variables Used

Refrigeration Effect Produced - (Measured in Joule per Second) - Refrigeration Effect Produced defines the amount of cooling produced by a system. This cooling is obtained at the expense of some form of energy.
Mass of Air - (Measured in Kilogram per Second) - Mass of air is both a property of air and a measure of its resistance to acceleration when a net force is applied.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
Inside temperature of cabin - (Measured in Kelvin) - Inside temperature of cabin is the temperature inside the aircraft due to the occupancy and heating equipments.
Actual temperature at end of isentropic expansion - (Measured in Kelvin) - Actual temperature at end of isentropic expansion is the exit temperature of the cooling turbine and is the temperature at which the refrigeration process starts.

STEP 1: Convert Input(s) to Base Unit

Mass of Air: 120 Kilogram per Minute --> 2 Kilogram per Second (Check conversion here)
Specific Heat Capacity at Constant Pressure: 1.005 Kilojoule per Kilogram per K --> 1005 Joule per Kilogram per K (Check conversion here)
Inside temperature of cabin: 270 Kelvin --> 270 Kelvin No Conversion Required
Actual temperature at end of isentropic expansion: 265 Kelvin --> 265 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_E = ma*C_p*(T₆-T5^') --> 2*1005*(270-265)

Evaluating ... ...

R_E = 10050

STEP 3: Convert Result to Output's Unit

10050 Joule per Second -->602.999999999999 Kilojoule per Minute (Check conversion here)

FINAL ANSWER

602.999999999999 ≈ 603 Kilojoule per Minute <-- Refrigeration Effect Produced

(Calculation completed in 00.004 seconds)

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Created by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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National Institute Of Technology (NIT), Hamirpur

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< 17 Air Refrigeration Systems Calculators

Power required to maintain pressure inside cabin excluding ram work

Go Input Power = ((Mass of Air*Specific Heat Capacity at Constant Pressure*Actual temperature of Rammed Air)/(Compressor Efficiency))*((Cabin Pressure/Pressure of Rammed Air)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Power Required to Maintain Pressure inside Cabin including Ram Work

Go Input Power = ((Mass of Air*Specific Heat Capacity at Constant Pressure*Ambient Air Temperature)/(Compressor Efficiency))*((Cabin Pressure/Atmospheric Pressure)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

C.O.P. of simple air evaporative cycle

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air))

C.O.P. of simple air cycle

Go Actual Coefficient of Performance = (Inside temperature of cabin-Actual temperature at end of isentropic expansion)/(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air)

Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine

Go Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual exit Temperature of cooling turbine))

Mass of air to produce Q tonnes of refrigeration

Go Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion))

Expansion Work

Go Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Temperature at the end of cooling process-Actual temperature at end of isentropic expansion)

Refrigeration Effect Produced

Go Refrigeration Effect Produced = Mass of Air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion)

Heat rejected during cooling process

Go Heat Rejected = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Temperature at the end of cooling process)

Compression Work

Go Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air)

Power Required for Refrigeration System

Go Input Power = (Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air))/60

Temperature Ratio at Start and End of Ramming Process

Go Temperature Ratio = 1+(Velocity^2*(Heat Capacity Ratio-1))/(2*Heat Capacity Ratio*[R]*Initial Temperature)

Ram Efficiency

Go Ram Efficiency = (Stagnation Pressure of System-Initial Pressure of System)/(Final Pressure of System-Initial Pressure of System)

Local Sonic or Acoustic Velocity at Ambient Air Conditions

Go Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5

Initial Mass of Evaporant Required to be Carried for given Flight Time

Go Mass = (Rate of Heat Removal*Time in Minutes)/Latent Heat of Vaporization

COP of Air Cycle for given Input Power and Tonnage of Refrigeration

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)

COP of Air Cycle given Input Power

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)

Refrigeration Effect Produced Formula

Refrigeration Effect Produced = Mass of Air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion)
R_E = ma*C_p*(T₆-T5^')

What is refrigeration effect?

Refrigeration effect is an important term in refrigeration that defines the amount of cooling produced by a system. This cooling is obtained at the expense of some form of energy.

How to Calculate Refrigeration Effect Produced?

Refrigeration Effect Produced calculator uses Refrigeration Effect Produced = Mass of Air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion) to calculate the Refrigeration Effect Produced, The Refrigeration Effect Produced formula is defined as the product of the mass of air, constant pressure heat capacity, and the difference of actual temperatures at the end of the isentropic expansion process and the temperature inside the cabin. Refrigeration Effect Produced is denoted by R_E symbol.

How to calculate Refrigeration Effect Produced using this online calculator? To use this online calculator for Refrigeration Effect Produced, enter Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Inside temperature of cabin (T₆) & Actual temperature at end of isentropic expansion (T5^') and hit the calculate button. Here is how the Refrigeration Effect Produced calculation can be explained with given input values -> 36.18 = 2*1005*(270-265).

FAQ

What is Refrigeration Effect Produced?

The Refrigeration Effect Produced formula is defined as the product of the mass of air, constant pressure heat capacity, and the difference of actual temperatures at the end of the isentropic expansion process and the temperature inside the cabin and is represented as R_E = ma*C_p*(T₆-T5^') or Refrigeration Effect Produced = Mass of Air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion). Mass of air is both a property of air and a measure of its resistance to acceleration when a net force is applied, Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure, Inside temperature of cabin is the temperature inside the aircraft due to the occupancy and heating equipments & Actual temperature at end of isentropic expansion is the exit temperature of the cooling turbine and is the temperature at which the refrigeration process starts.

How to calculate Refrigeration Effect Produced?

The Refrigeration Effect Produced formula is defined as the product of the mass of air, constant pressure heat capacity, and the difference of actual temperatures at the end of the isentropic expansion process and the temperature inside the cabin is calculated using Refrigeration Effect Produced = Mass of Air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion). To calculate Refrigeration Effect Produced, you need Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Inside temperature of cabin (T₆) & Actual temperature at end of isentropic expansion (T5^'). With our tool, you need to enter the respective value for Mass of Air, Specific Heat Capacity at Constant Pressure, Inside temperature of cabin & Actual temperature at end of isentropic expansion 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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