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Power required to maintain pressure inside cabin excluding ram work Calculator

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✖Mass of Air is the amount of air present in a refrigeration system, which affects the cooling performance and overall efficiency of the system.ⓘ Mass of Air [ma]			+10% -10%
✖Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of air in refrigeration systems by one degree Celsius.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.ⓘ Actual Temperature of Rammed Air [T2^']			+10% -10%
✖Compressor Efficiency is the ratio of the theoretical minimum power required to compress air to the actual power consumed by the compressor.ⓘ Compressor Efficiency [CE]			+10% -10%
✖Cabin Pressure is the air pressure inside an air refrigeration system, which affects the performance and efficiency of the refrigeration process.ⓘ Cabin Pressure [p_c]			+10% -10%
✖Pressure of Rammed Air is the force exerted per unit area on the walls of the refrigeration system by the compressed air.ⓘ Pressure of Rammed Air [p2^']			+10% -10%
✖Heat Capacity Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume in air refrigeration systems.ⓘ Heat Capacity Ratio [γ]			+10% -10%

✖Input Power is the amount of energy required by the air refrigeration system to operate efficiently and effectively.ⓘ Power required to maintain pressure inside cabin excluding ram work [P_in]

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Formula

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Power required to maintain pressure inside cabin excluding ram work

Formula

P in = (\frac{ma \cdot C p \cdot T2'}{CE}) \cdot ({(\frac{p c}{p2'})}^{\frac{γ - 1}{γ}} - 1)

Example

155.0701 kJ/min = (\frac{120 kg/min \cdot 1.005 kJ/kg*K \cdot 273 K}{46.5}) \cdot ({(\frac{400000 Pa}{200000 Pa})}^{\frac{1.4 - 1}{1.4}} - 1)

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Power required to maintain pressure inside cabin excluding ram work Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_in = ((ma*C_p*T2^')/(CE))*((p_c/p2^')^((γ-1)/γ)-1)
This formula uses 8 Variables

Variables Used

Input Power - (Measured in Watt) - Input Power is the amount of energy required by the air refrigeration system to operate efficiently and effectively.
Mass of Air - (Measured in Kilogram per Second) - Mass of Air is the amount of air present in a refrigeration system, which affects the cooling performance and overall efficiency of the system.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of air in refrigeration systems by one degree Celsius.
Actual Temperature of Rammed Air - (Measured in Kelvin) - Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.
Compressor Efficiency - Compressor Efficiency is the ratio of the theoretical minimum power required to compress air to the actual power consumed by the compressor.
Cabin Pressure - (Measured in Pascal) - Cabin Pressure is the air pressure inside an air refrigeration system, which affects the performance and efficiency of the refrigeration process.
Pressure of Rammed Air - (Measured in Pascal) - Pressure of Rammed Air is the force exerted per unit area on the walls of the refrigeration system by the compressed air.
Heat Capacity Ratio - Heat Capacity Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume in air refrigeration systems.

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)
Actual Temperature of Rammed Air: 273 Kelvin --> 273 Kelvin No Conversion Required
Compressor Efficiency: 46.5 --> No Conversion Required
Cabin Pressure: 400000 Pascal --> 400000 Pascal No Conversion Required
Pressure of Rammed Air: 200000 Pascal --> 200000 Pascal No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_in = ((ma*C_p*T2^')/(CE))*((p_c/p2^')^((γ-1)/γ)-1) --> ((2*1005*273)/(46.5))*((400000/200000)^((1.4-1)/1.4)-1)

Evaluating ... ...

P_in = 2584.50241874455

STEP 3: Convert Result to Output's Unit

2584.50241874455 Watt -->155.070145124673 Kilojoule per Minute (Check conversion here)

FINAL ANSWER

155.070145124673 ≈ 155.0701 Kilojoule per Minute <-- Input Power

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Mechanical » Air Refrigeration » Power required to maintain pressure inside cabin excluding ram work

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Created by Rushi Shah

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

Rushi Shah has created this Calculator and 25+ more calculators!

Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has verified this Calculator and 100+ more calculators!

< Air Refrigeration Calculators

Compression or Expansion Ratio

Go Compression or Expansion Ratio = Pressure at End of Isentropic Compression/Pressure at Start of Isentropic Compression

Relative Coefficient of Performance

Go Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance

Energy Performance Ratio of Heat Pump

Go Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min

Theoretical Coefficient of Performance of Refrigerator

Go Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done

Power required to maintain pressure inside cabin excluding ram work Formula

How is Cabin Pressure maintained in an Aircraft?

Cabin pressure in an aircraft is maintained using a pressurization system that controls the air pressure inside the cabin. This system includes air compressors that draw in outside air, which is then compressed to a higher pressure. The compressed air is cooled and directed into the cabin. Excess cabin pressure is regulated by outflow valves that release air as needed to maintain a stable and comfortable pressure. This pressurization ensures that the cabin pressure remains at a level comfortable for passengers and crew, similar to altitudes found at lower elevations.

How to Calculate Power required to maintain pressure inside cabin excluding ram work?

Power required to maintain pressure inside cabin excluding ram work calculator uses 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) to calculate the Input Power, Power required to maintain pressure inside cabin excluding ram work formula is defined as the total energy needed to sustain a certain pressure level within an aircraft cabin, excluding the energy required for ram air compression, which is essential for maintaining a safe and comfortable environment for passengers and crew. Input Power is denoted by P_in symbol.

How to calculate Power required to maintain pressure inside cabin excluding ram work using this online calculator? To use this online calculator for Power required to maintain pressure inside cabin excluding ram work, enter Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Actual Temperature of Rammed Air (T2^'), Compressor Efficiency (CE), Cabin Pressure (p_c), Pressure of Rammed Air (p2^') & Heat Capacity Ratio (γ) and hit the calculate button. Here is how the Power required to maintain pressure inside cabin excluding ram work calculation can be explained with given input values -> 57.50182 = ((2*1005*273)/(46.5))*((400000/200000)^((1.4-1)/1.4)-1).

FAQ

What is Power required to maintain pressure inside cabin excluding ram work?

Power required to maintain pressure inside cabin excluding ram work formula is defined as the total energy needed to sustain a certain pressure level within an aircraft cabin, excluding the energy required for ram air compression, which is essential for maintaining a safe and comfortable environment for passengers and crew and is represented as P_in = ((ma*C_p*T2^')/(CE))*((p_c/p2^')^((γ-1)/γ)-1) or 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). Mass of Air is the amount of air present in a refrigeration system, which affects the cooling performance and overall efficiency of the system, Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of air in refrigeration systems by one degree Celsius, Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system, Compressor Efficiency is the ratio of the theoretical minimum power required to compress air to the actual power consumed by the compressor, Cabin Pressure is the air pressure inside an air refrigeration system, which affects the performance and efficiency of the refrigeration process, Pressure of Rammed Air is the force exerted per unit area on the walls of the refrigeration system by the compressed air & Heat Capacity Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume in air refrigeration systems.

How to calculate Power required to maintain pressure inside cabin excluding ram work?

Power required to maintain pressure inside cabin excluding ram work formula is defined as the total energy needed to sustain a certain pressure level within an aircraft cabin, excluding the energy required for ram air compression, which is essential for maintaining a safe and comfortable environment for passengers and crew is calculated using 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). To calculate Power required to maintain pressure inside cabin excluding ram work, you need Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Actual Temperature of Rammed Air (T2^'), Compressor Efficiency (CE), Cabin Pressure (p_c), Pressure of Rammed Air (p2^') & Heat Capacity Ratio (γ). With our tool, you need to enter the respective value for 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 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 Input Power?

In this formula, Input Power uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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