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Power required to maintain pressure inside cabin excluding ram work Formula

GoPower Required to Maintain Pressure inside Cabin including 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 T2'}{CE}) \cdot ({(\frac{p c}{p2'})}^{\frac{γ - 1}{γ}} - 1)

P_in - Input Power?ma - Mass of Air?C_p - Specific Heat Capacity at Constant Pressure?T2^' - Actual Temperature of Rammed Air?CE - Compressor Efficiency?p_c - Cabin Pressure?p2^' - Pressure of Rammed Air?γ - Heat Capacity Ratio?

Power required to maintain pressure inside cabin excluding ram work Example

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Here is how the Power required to maintain pressure inside cabin excluding ram work equation looks like with Values.

Here is how the Power required to maintain pressure inside cabin excluding ram work equation looks like with Units.

Here is how the Power required to maintain pressure inside cabin excluding ram work equation looks like.

155.0701 = (\frac{120 \cdot 1.005 \cdot 273}{46.5}) \cdot ({(\frac{400000}{200000})}^{\frac{1.4 - 1}{1.4}} - 1)

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

155.0701 = (\frac{120 \cdot 1.005 \cdot 273}{46.5}) \cdot ({(\frac{400000}{200000})}^{\frac{1.4 - 1}{1.4}} - 1)

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Power required to maintain pressure inside cabin excluding ram work Solution

Follow our step by step solution on how to calculate Power required to maintain pressure inside cabin excluding ram work?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

P in = (\frac{2kg/s \cdot 1005J/(kg*K) \cdot 273K}{46.5}) \cdot ({(\frac{400000Pa}{200000Pa})}^{\frac{1.4 - 1}{1.4}} - 1)

Next Step Prepare to Evaluate

∴

P in = (\frac{2 \cdot 1005 \cdot 273}{46.5}) \cdot ({(\frac{400000}{200000})}^{\frac{1.4 - 1}{1.4}} - 1)

Next Step Evaluate

∴

P in = 2584.50241874455W

Next Step Convert to Output's Unit

∴

P in = 155.070145124673kJ/min

LAST Step Rounding Answer

∴

P in = 155.0701kJ/min

Power required to maintain pressure inside cabin excluding 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.

Formulas to find Input Power

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.

Formulas to find Mass of Air

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.

Formulas to find Specific Heat Capacity at Constant Pressure

Actual Temperature of Rammed Air

Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.

Symbol: T2^'

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Actual Temperature of Rammed Air

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.

Formulas to find Compressor Efficiency

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.

Formulas to find Cabin Pressure

Pressure of Rammed Air

Pressure of Rammed Air is the force exerted per unit area on the walls of the refrigeration system by the compressed air.

Symbol: p2^'

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Rammed 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.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Other Formulas to find Input Power

Go Power Required to Maintain Pressure inside Cabin including Ram Work

P in = (\frac{ma \cdot C p \cdot T a}{CE}) \cdot ({(\frac{p c}{P atm})}^{\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 excluding ram work?

Power required to maintain pressure inside cabin excluding ram work evaluator 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 evaluate 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 evaluate Power required to maintain pressure inside cabin excluding ram work using this online evaluator? To use this online evaluator 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.

FAQs on Power required to maintain pressure inside cabin excluding ram work

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

The formula of Power required to maintain pressure inside cabin excluding ram work is expressed as 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). Here is an example- 57.50182 = ((2*1005*273)/(46.5))*((400000/200000)^((1.4-1)/1.4)-1).

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

With 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) we can find Power required to maintain pressure inside cabin excluding ram work using the formula - 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).

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*Ambient Air Temperature)/(Compressor Efficiency))*((Cabin Pressure/Atmospheric Pressure)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Can the Power required to maintain pressure inside cabin excluding ram work be negative?

Yes, the Power required to maintain pressure inside cabin excluding ram work, measured in Power can be negative.

Which unit is used to measure Power required to maintain pressure inside cabin excluding ram work?

Power required to maintain pressure inside cabin excluding 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 excluding ram work can be measured.

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Power required to maintain pressure inside cabin excluding ram work Formula

​GoPower Required to Maintain Pressure inside Cabin including Ram Work Formula

Power required to maintain pressure inside cabin excluding ram work Example

Power required to maintain pressure inside cabin excluding ram work Solution

Power required to maintain pressure inside cabin excluding ram work Formula Elements

Other Formulas to find Input Power

Other formulas in Air Refrigeration category

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

FAQs on Power required to maintain pressure inside cabin excluding ram work

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GoPower Required to Maintain Pressure inside Cabin including Ram Work Formula