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Power Required to Maintain Pressure inside Cabin including Ram Work Formula

GoPower required to maintain pressure inside cabin excluding ram work Formula

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Input Power is the amount of energy required by the air refrigeration system to operate efficiently and effectively. Check FAQs

P in = (\frac{ma \cdot C p \cdot T a}{CE}) \cdot ({(\frac{p c}{P atm})}^{\frac{γ - 1}{γ}} - 1)

P_in - Input Power?ma - Mass of Air?C_p - Specific Heat Capacity at Constant Pressure?T_a - Ambient Air Temperature?CE - Compressor Efficiency?p_c - Cabin Pressure?P_atm - Atmospheric Pressure?γ - Heat Capacity Ratio?

Power Required to Maintain Pressure inside Cabin including Ram Work Example

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Here is how the Power Required to Maintain Pressure inside Cabin including Ram Work equation looks like with Values.

Here is how the Power Required to Maintain Pressure inside Cabin including Ram Work equation looks like with Units.

Here is how the Power Required to Maintain Pressure inside Cabin including Ram Work equation looks like.

155.7478 = (\frac{120 \cdot 1.005 \cdot 125}{46.5}) \cdot ({(\frac{400000}{101325})}^{\frac{1.4 - 1}{1.4}} - 1)

155.7478kJ/min = (\frac{120kg/min \cdot 1.005kJ/kg*K \cdot 125K}{46.5}) \cdot ({(\frac{400000Pa}{101325Pa})}^{\frac{1.4 - 1}{1.4}} - 1)

155.7478 = (\frac{120 \cdot 1.005 \cdot 125}{46.5}) \cdot ({(\frac{400000}{101325})}^{\frac{1.4 - 1}{1.4}} - 1)

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Home » Physics » Mechanical » Refrigeration and Air Conditioning » Power Required to Maintain Pressure inside Cabin including Ram Work

Power Required to Maintain Pressure inside Cabin including Ram Work Solution

Follow our step by step solution on how to calculate Power Required to Maintain Pressure inside Cabin including Ram Work?

FIRST Step Consider the formula

P in = (\frac{ma \cdot C p \cdot T a}{CE}) \cdot ({(\frac{p c}{P atm})}^{\frac{γ - 1}{γ}} - 1)

Next Step Substitute values of Variables

∴

P in = (\frac{120kg/min \cdot 1.005kJ/kg*K \cdot 125K}{46.5}) \cdot ({(\frac{400000Pa}{101325Pa})}^{\frac{1.4 - 1}{1.4}} - 1)

Next Step Convert Units

∴

P in = (\frac{2kg/s \cdot 1005J/(kg*K) \cdot 125K}{46.5}) \cdot ({(\frac{400000Pa}{101325Pa})}^{\frac{1.4 - 1}{1.4}} - 1)

Next Step Prepare to Evaluate

∴

P in = (\frac{2 \cdot 1005 \cdot 125}{46.5}) \cdot ({(\frac{400000}{101325})}^{\frac{1.4 - 1}{1.4}} - 1)

Next Step Evaluate

∴

P in = 2595.7970930958W

Next Step Convert to Output's Unit

∴

P in = 155.747825585747kJ/min

LAST Step Rounding Answer

∴

P in = 155.7478kJ/min

Power Required to Maintain Pressure inside Cabin including Ram Work Formula Elements

Variables

Input Power

Input Power is the amount of energy required by the air refrigeration system to operate efficiently and effectively.

Symbol: P_in

Measurement: PowerUnit: kJ/min

Note: Value can be positive or negative.

Mass of Air

Mass of Air is the amount of air present in a refrigeration system, which affects the cooling performance and overall efficiency of the system.

Symbol: ma

Measurement: Mass Flow RateUnit: kg/min

Note: Value should be greater than 0.

Specific Heat Capacity at Constant Pressure

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.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Ambient Air Temperature

Ambient Air Temperature is the temperature of the air surrounding a refrigeration system, affecting its performance and efficiency.

Symbol: T_a

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Compressor Efficiency

Compressor Efficiency is the ratio of the theoretical minimum power required to compress air to the actual power consumed by the compressor.

Symbol: CE

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Cabin Pressure

Cabin Pressure is the air pressure inside an air refrigeration system, which affects the performance and efficiency of the refrigeration process.

Symbol: p_c

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Atmospheric Pressure

Atmospheric Pressure is the pressure exerted by the weight of air in the atmosphere on the surface of the earth, affecting air refrigeration systems.

Symbol: P_atm

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

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.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Credits

Created by Rushi Shah

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

Rushi Shah has created this Formula and 25+ more formulas!

Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has verified this Formula and 100+ more formulas!

Other Formulas to find Input Power

Go Power required to maintain pressure inside cabin excluding ram work

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

Other formulas in Air Refrigeration category

Go Energy Performance Ratio of Heat Pump

COP theoretical = \frac{Q delivered}{W per min}

Go Relative Coefficient of Performance

COP relative = \frac{COP actual}{COP theoretical}

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

Power Required to Maintain Pressure inside Cabin including Ram Work evaluator 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 evaluate 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 evaluate Power Required to Maintain Pressure inside Cabin including Ram Work using this online evaluator? To use this online evaluator 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.

FAQs on Power Required to Maintain Pressure inside Cabin including Ram Work

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

The formula of Power Required to Maintain Pressure inside Cabin including Ram Work is expressed as 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). Here is an example- 9.195352 = ((2*1005*125)/(46.5))*((400000/101325)^((1.4-1)/1.4)-1).

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

With 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) we can find Power Required to Maintain Pressure inside Cabin including Ram Work using the formula - 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).

What are the other ways to Calculate Input Power?

Here are the different ways to Calculate Input Power-

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)

Can the Power Required to Maintain Pressure inside Cabin including Ram Work be negative?

Yes, the Power Required to Maintain Pressure inside Cabin including Ram Work, measured in Power can be negative.

Which unit is used to measure Power Required to Maintain Pressure inside Cabin including Ram Work?

Power Required to Maintain Pressure inside Cabin including Ram Work is usually measured using the Kilojoule per Minute[kJ/min] for Power. Watt[kJ/min], Kilowatt[kJ/min], Milliwatt[kJ/min] are the few other units in which Power Required to Maintain Pressure inside Cabin including Ram Work can be measured.

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Power Required to Maintain Pressure inside Cabin including Ram Work Formula

​GoPower required to maintain pressure inside cabin excluding ram work Formula

Power Required to Maintain Pressure inside Cabin including Ram Work Example

Power Required to Maintain Pressure inside Cabin including Ram Work Solution

Power Required to Maintain Pressure inside Cabin including Ram Work Formula Elements

Credits

Other Formulas to find Input Power

Other formulas in Air Refrigeration category

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

FAQs on Power Required to Maintain Pressure inside Cabin including Ram Work

Variable Name

GoPower required to maintain pressure inside cabin excluding ram work Formula