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Choked Mass Flow Rate Formula

GoChoked Mass Flow Rate given specific heat ratio Formula

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Choked Mass Flow Rate refers to the maximum mass flow rate of a compressible fluid through a restricted flow area, reaching the critical sonic conditions. Check FAQs

ṁ choke = \frac{m \cdot \sqrt{C p \cdot T}}{A throat \cdot P o}

ṁ_choke - Choked Mass Flow Rate?m - Mass Flow Rate?C_p - Specific Heat Capacity at Constant Pressure?T - Temperature?A_throat - Nozzle Throat Area?P_o - Throat Pressure?

Choked Mass Flow Rate Example

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Here is how the Choked Mass Flow Rate equation looks like with Values.

Here is how the Choked Mass Flow Rate equation looks like with Units.

Here is how the Choked Mass Flow Rate equation looks like.

1.279 = \frac{5 \cdot \sqrt{1005 \cdot 298.15}}{21.4 \cdot 100}

1.279 = \frac{5kg/s \cdot \sqrt{1005J/(kg*K) \cdot 298.15K}}{21.4m² \cdot 100Pa}

1.279 = \frac{5 \cdot \sqrt{1005 \cdot 298.15}}{21.4 \cdot 100}

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Choked Mass Flow Rate Solution

Follow our step by step solution on how to calculate Choked Mass Flow Rate?

FIRST Step Consider the formula

ṁ choke = \frac{m \cdot \sqrt{C p \cdot T}}{A throat \cdot P o}

Next Step Substitute values of Variables

∴

ṁ choke = \frac{5kg/s \cdot \sqrt{1005J/(kg*K) \cdot 298.15K}}{21.4m² \cdot 100Pa}

Next Step Prepare to Evaluate

∴

ṁ choke = \frac{5 \cdot \sqrt{1005 \cdot 298.15}}{21.4 \cdot 100}

Next Step Evaluate

∴

ṁ choke = 1.27895913641433

LAST Step Rounding Answer

∴

ṁ choke = 1.279

Choked Mass Flow Rate Formula Elements

Variables

Functions

Choked Mass Flow Rate

Choked Mass Flow Rate refers to the maximum mass flow rate of a compressible fluid through a restricted flow area, reaching the critical sonic conditions.

Symbol: ṁ_choke

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Choked Mass Flow Rate

Mass Flow Rate

Mass Flow Rate represents the amount of mass passing through a cross-section per unit time.

Symbol: m

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate

Specific Heat Capacity at Constant Pressure

Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature

Nozzle Throat Area

Nozzle Throat Area is the area of cross section at the throat of nozzle.

Symbol: A_throat

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Nozzle Throat Area

Throat Pressure

Throat Pressure is the amount of discharge pressure of an engine at a given mass flow rate through the throat of the nozzle.

Symbol: P_o

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Throat Pressure

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.

Syntax: sqrt(Number)

Other Formulas to find Choked Mass Flow Rate

Go Choked Mass Flow Rate given specific heat ratio

ṁ choke = (\frac{γ}{\sqrt{γ - 1}}) \cdot {(\frac{γ + 1}{2})}^{- (\frac{γ + 1}{2 \cdot γ - 2})}

Other formulas in Thermodynamics and Governing Equations category

Go Heat Capacity Ratio

γ = \frac{C p}{C v}

Go Internal Energy of Perfect Gas at given Temperature

U = C v \cdot T

Go Enthalpy of Ideal Gas at given Temperature

h = C p \cdot T

Go Stagnation Velocity of Sound

a o = \sqrt{γ \cdot [R] \cdot T 0}

How to Evaluate Choked Mass Flow Rate?

Choked Mass Flow Rate evaluator uses Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure) to evaluate the Choked Mass Flow Rate, Choked Mass Flow Rate formula is used to determine the amount of maximum mass flowing through the nozzle from the exhaust of an engine. It is observed when the Mach number is equal to 1 and this condition is known as the choking of flow. Choked Mass Flow Rate is denoted by ṁ_choke symbol.

How to evaluate Choked Mass Flow Rate using this online evaluator? To use this online evaluator for Choked Mass Flow Rate, enter Mass Flow Rate (m), Specific Heat Capacity at Constant Pressure (C_p), Temperature (T), Nozzle Throat Area (A_throat) & Throat Pressure (P_o) and hit the calculate button.

FAQs on Choked Mass Flow Rate

What is the formula to find Choked Mass Flow Rate?

The formula of Choked Mass Flow Rate is expressed as Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure). Here is an example- 1.278959 = (5*sqrt(1005*298.15))/(21.4*100).

How to calculate Choked Mass Flow Rate?

With Mass Flow Rate (m), Specific Heat Capacity at Constant Pressure (C_p), Temperature (T), Nozzle Throat Area (A_throat) & Throat Pressure (P_o) we can find Choked Mass Flow Rate using the formula - Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Choked Mass Flow Rate?

Here are the different ways to Calculate Choked Mass Flow Rate-

Choked Mass Flow Rate=(Specific Heat Ratio/(sqrt(Specific Heat Ratio-1)))*((Specific Heat Ratio+1)/2)^(-((Specific Heat Ratio+1)/(2*Specific Heat Ratio-2)))

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Choked Mass Flow Rate Formula

​GoChoked Mass Flow Rate given specific heat ratio Formula

Choked Mass Flow Rate Example

Choked Mass Flow Rate Solution

Choked Mass Flow Rate Formula Elements

Other Formulas to find Choked Mass Flow Rate

Other formulas in Thermodynamics and Governing Equations category

How to Evaluate Choked Mass Flow Rate?

FAQs on Choked Mass Flow Rate

Variable Name

GoChoked Mass Flow Rate given specific heat ratio Formula