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Power Required to Maintain Pressure inside Cabin including 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%
✖Ambient Air Temperature is the temperature of the air surrounding a refrigeration system, affecting its performance and efficiency.ⓘ Ambient Air Temperature [T_a]			+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%
✖Atmospheric Pressure is the pressure exerted by the weight of air in the atmosphere on the surface of the earth, affecting air refrigeration systems.ⓘ Atmospheric Pressure [P_atm]			+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 including Ram Work [P_in]

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Power Required to Maintain Pressure inside Cabin including Ram Work Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_in = ((ma*C_p*T_a)/(CE))*((p_c/P_atm)^((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.
Ambient Air Temperature - (Measured in Kelvin) - Ambient Air Temperature is the temperature of the air surrounding a refrigeration system, affecting its performance and efficiency.
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.
Atmospheric Pressure - (Measured in Pascal) - Atmospheric Pressure is the pressure exerted by the weight of air in the atmosphere on the surface of the earth, affecting air refrigeration systems.
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)
Ambient Air Temperature: 125 Kelvin --> 125 Kelvin No Conversion Required
Compressor Efficiency: 46.5 --> No Conversion Required
Cabin Pressure: 400000 Pascal --> 400000 Pascal No Conversion Required
Atmospheric Pressure: 101325 Pascal --> 101325 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*T_a)/(CE))*((p_c/P_atm)^((γ-1)/γ)-1) --> ((2*1005*125)/(46.5))*((400000/101325)^((1.4-1)/1.4)-1)

Evaluating ... ...

P_in = 2595.7970930958

STEP 3: Convert Result to Output's Unit

2595.7970930958 Watt -->155.747825585747 Kilojoule per Minute (Check conversion here)

FINAL ANSWER

155.747825585747 ≈ 155.7478 Kilojoule per Minute <-- Input Power

(Calculation completed in 00.004 seconds)

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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

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

Relative Coefficient of Performance

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

Energy Performance Ratio of Heat Pump

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

Theoretical Coefficient of Performance of Refrigerator

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

Power Required to Maintain Pressure inside Cabin including Ram Work Formula

LaTeX Go

What is Ram Work?

Ram work refers to the work done by the dynamic pressure of the air as an aircraft moves through the atmosphere. It is based on the principle that the relative motion of the aircraft compresses the air in the ram air intake, which can be used to drive engines or other components. In aircraft, ram work is often utilized in ramjet engines and certain types of air compressors, where the kinetic energy of the incoming air is converted into mechanical energy. This process improves the efficiency and performance of the propulsion or cooling systems.

How to Calculate Power Required to Maintain Pressure inside Cabin including Ram Work?

Power Required to Maintain Pressure inside Cabin including Ram Work calculator uses 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) to calculate the Input Power, Power Required to Maintain Pressure inside Cabin including Ram Work formula is defined as the total power needed to maintain a stable pressure inside an aircraft cabin, considering both the air conditioning and pressurization systems, as well as the ram air effect, to ensure 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 including Ram Work using this online calculator? To use this online calculator for Power Required to Maintain Pressure inside Cabin including Ram Work, enter Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Ambient Air Temperature (T_a), Compressor Efficiency (CE), Cabin Pressure (p_c), Atmospheric Pressure (P_atm) & Heat Capacity Ratio (γ) and hit the calculate button. Here is how the Power Required to Maintain Pressure inside Cabin including Ram Work calculation can be explained with given input values -> 9.195352 = ((2*1005*125)/(46.5))*((400000/101325)^((1.4-1)/1.4)-1).

FAQ

What is Power Required to Maintain Pressure inside Cabin including Ram Work?

Power Required to Maintain Pressure inside Cabin including Ram Work formula is defined as the total power needed to maintain a stable pressure inside an aircraft cabin, considering both the air conditioning and pressurization systems, as well as the ram air effect, to ensure a safe and comfortable environment for passengers and crew and is represented as P_in = ((ma*C_p*T_a)/(CE))*((p_c/P_atm)^((γ-1)/γ)-1) or 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). 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, Ambient Air Temperature is the temperature of the air surrounding a refrigeration system, affecting its performance and 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 is the air pressure inside an air refrigeration system, which affects the performance and efficiency of the refrigeration process, Atmospheric Pressure is the pressure exerted by the weight of air in the atmosphere on the surface of the earth, affecting air refrigeration systems & 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 including Ram Work?

Power Required to Maintain Pressure inside Cabin including Ram Work formula is defined as the total power needed to maintain a stable pressure inside an aircraft cabin, considering both the air conditioning and pressurization systems, as well as the ram air effect, to ensure a safe and comfortable environment for passengers and crew is calculated using 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). To calculate Power Required to Maintain Pressure inside Cabin including Ram Work, you need Mass of Air (ma), Specific Heat Capacity at Constant Pressure (C_p), Ambient Air Temperature (T_a), Compressor Efficiency (CE), Cabin Pressure (p_c), Atmospheric Pressure (P_atm) & Heat Capacity Ratio (γ). With our tool, you need to enter the respective value for Mass of Air, Specific Heat Capacity at Constant Pressure, Ambient Air Temperature, Compressor Efficiency, Cabin Pressure, Atmospheric Pressure & 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, Ambient Air Temperature, Compressor Efficiency, Cabin Pressure, Atmospheric Pressure & 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*Actual Temperature of Rammed Air)/(Compressor Efficiency))*((Cabin Pressure/Pressure of Rammed Air)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

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