Mass Flow Rate through Engine Calculator

✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%
✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%
✖Total Pressure is the sum of all the forces that the gas molecules exert on the walls of their container.ⓘ Total Pressure [P_t]			+10% -10%
✖The specific heat ratio describes the ratio of specific heats of a gas at constant pressure to that at constant volume.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%
✖Total Temperature is the sum of the static temperature and the dynamic temperature.ⓘ Total Temperature [T_tot]			+10% -10%

✖Mass Flow Rate represents the amount of mass passing through a system per unit of time.ⓘ Mass Flow Rate through Engine [m_a]

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Mass Flow Rate through Engine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Flow Rate = Mach Number*Area*Total Pressure*sqrt(Specific Heat Ratio*Molar Mass/(Total Temperature*[R]))*(1+(Specific Heat Ratio-1)*Mach Number^2/2)^(-(Specific Heat Ratio+1)/(2*Specific Heat Ratio-2))
m_a = M*A*P_t*sqrt(γ*M_molar/(T_tot*[R]))*(1+(γ-1)*M^2/2)^(-(γ+1)/(2*γ-2))
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Mass Flow Rate - (Measured in Kilogram per Second) - Mass Flow Rate represents the amount of mass passing through a system per unit of time.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Total Pressure - (Measured in Pascal) - Total Pressure is the sum of all the forces that the gas molecules exert on the walls of their container.
Specific Heat Ratio - The specific heat ratio describes the ratio of specific heats of a gas at constant pressure to that at constant volume.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Total Temperature - (Measured in Kelvin) - Total Temperature is the sum of the static temperature and the dynamic temperature.

STEP 1: Convert Input(s) to Base Unit

Mach Number: 1.4 --> No Conversion Required
Area: 8.5 Square Meter --> 8.5 Square Meter No Conversion Required
Total Pressure: 0.004 Megapascal --> 4000 Pascal (Check conversion here)
Specific Heat Ratio: 1.33 --> No Conversion Required
Molar Mass: 6.5 Gram Per Mole --> 0.0065 Kilogram Per Mole (Check conversion here)
Total Temperature: 590 Kelvin --> 590 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_a = M*A*P_t*sqrt(γ*M_molar/(T_tot*[R]))*(1+(γ-1)*M^2/2)^(-(γ+1)/(2*γ-2)) --> 1.4*8.5*4000*sqrt(1.33*0.0065/(590*[R]))*(1+(1.33-1)*1.4^2/2)^(-(1.33+1)/(2*1.33-2))

Evaluating ... ...

m_a = 23.4984808798025

STEP 3: Convert Result to Output's Unit

23.4984808798025 Kilogram per Second --> No Conversion Required

FINAL ANSWER

23.4984808798025 ≈ 23.49848 Kilogram per Second <-- Mass Flow Rate

(Calculation completed in 00.004 seconds)

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Credits

Created by Shreyash

Rajiv Gandhi Institute of Technology (RGIT), Mumbai

Shreyash has created this Calculator and 10+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

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Mass Flow Rate through Engine Formula

LaTeX Go

What is Mass Flow Rate?

The amount of mass that flows through an area in a given amount of time is known as the mass flow rate. It is a measurement of the velocity at which gases and liquids pass through a specified area. It is an important factor that determines the amount of thrust produced.

Condition for Maximum mass flow rate

Maximum mass flow rate occurs when the Mach number is equal to one. This condition is known as choking and it is an important factor to determine the characteristics and limit of an engine.

How to Calculate Mass Flow Rate through Engine?

Mass Flow Rate through Engine calculator uses Mass Flow Rate = Mach Number*Area*Total Pressure*sqrt(Specific Heat Ratio*Molar Mass/(Total Temperature*[R]))*(1+(Specific Heat Ratio-1)*Mach Number^2/2)^(-(Specific Heat Ratio+1)/(2*Specific Heat Ratio-2)) to calculate the Mass Flow Rate, Mass Flow Rate through Engine formula is used to determine the amount of mass flowing through the nozzle from an exhaust of a rocket engine given that we know the flow area, total pressure and temperature of the flow, the Mach number, the ratio of specific heats of the gas, and the gas constant. Mass Flow Rate is denoted by m_a symbol.

How to calculate Mass Flow Rate through Engine using this online calculator? To use this online calculator for Mass Flow Rate through Engine, enter Mach Number (M), Area (A), Total Pressure (P_t), Specific Heat Ratio (γ), Molar Mass (M_molar) & Total Temperature (T_tot) and hit the calculate button. Here is how the Mass Flow Rate through Engine calculation can be explained with given input values -> 23.49848 = 1.4*8.5*4000*sqrt(1.33*0.0065/(590*[R]))*(1+(1.33-1)*1.4^2/2)^(-(1.33+1)/(2*1.33-2)).

FAQ

What is Mass Flow Rate through Engine?

Mass Flow Rate through Engine formula is used to determine the amount of mass flowing through the nozzle from an exhaust of a rocket engine given that we know the flow area, total pressure and temperature of the flow, the Mach number, the ratio of specific heats of the gas, and the gas constant and is represented as m_a = M*A*P_t*sqrt(γ*M_molar/(T_tot*[R]))*(1+(γ-1)*M^2/2)^(-(γ+1)/(2*γ-2)) or Mass Flow Rate = Mach Number*Area*Total Pressure*sqrt(Specific Heat Ratio*Molar Mass/(Total Temperature*[R]))*(1+(Specific Heat Ratio-1)*Mach Number^2/2)^(-(Specific Heat Ratio+1)/(2*Specific Heat Ratio-2)). Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound, The area is the amount of two-dimensional space taken up by an object, Total Pressure is the sum of all the forces that the gas molecules exert on the walls of their container, The specific heat ratio describes the ratio of specific heats of a gas at constant pressure to that at constant volume, Molar Mass is the mass of a given substance divided by the amount of substance & Total Temperature is the sum of the static temperature and the dynamic temperature.

How to calculate Mass Flow Rate through Engine?

Mass Flow Rate through Engine formula is used to determine the amount of mass flowing through the nozzle from an exhaust of a rocket engine given that we know the flow area, total pressure and temperature of the flow, the Mach number, the ratio of specific heats of the gas, and the gas constant is calculated using Mass Flow Rate = Mach Number*Area*Total Pressure*sqrt(Specific Heat Ratio*Molar Mass/(Total Temperature*[R]))*(1+(Specific Heat Ratio-1)*Mach Number^2/2)^(-(Specific Heat Ratio+1)/(2*Specific Heat Ratio-2)). To calculate Mass Flow Rate through Engine, you need Mach Number (M), Area (A), Total Pressure (P_t), Specific Heat Ratio (γ), Molar Mass (M_molar) & Total Temperature (T_tot). With our tool, you need to enter the respective value for Mach Number, Area, Total Pressure, Specific Heat Ratio, Molar Mass & Total Temperature 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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