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Choked Mass Flow Rate given specific heat ratio Formula

GoChoked Mass Flow Rate 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{γ}{\sqrt{γ - 1}}) \cdot {(\frac{γ + 1}{2})}^{- (\frac{γ + 1}{2 \cdot γ - 2})}

ṁ_choke - Choked Mass Flow Rate?γ - Specific Heat Ratio?

Choked Mass Flow Rate given specific heat ratio Example

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Here is how the Choked Mass Flow Rate given specific heat ratio equation looks like with Values.

Here is how the Choked Mass Flow Rate given specific heat ratio equation looks like with Units.

Here is how the Choked Mass Flow Rate given specific heat ratio equation looks like.

1.281 = (\frac{1.4}{\sqrt{1.4 - 1}}) \cdot {(\frac{1.4 + 1}{2})}^{- (\frac{1.4 + 1}{2 \cdot 1.4 - 2})}

1.281 = (\frac{1.4}{\sqrt{1.4 - 1}}) \cdot {(\frac{1.4 + 1}{2})}^{- (\frac{1.4 + 1}{2 \cdot 1.4 - 2})}

1.281 = (\frac{1.4}{\sqrt{1.4 - 1}}) \cdot {(\frac{1.4 + 1}{2})}^{- (\frac{1.4 + 1}{2 \cdot 1.4 - 2})}

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Choked Mass Flow Rate given specific heat ratio Solution

Follow our step by step solution on how to calculate Choked Mass Flow Rate given specific heat ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ṁ choke = (\frac{1.4}{\sqrt{1.4 - 1}}) \cdot {(\frac{1.4 + 1}{2})}^{- (\frac{1.4 + 1}{2 \cdot 1.4 - 2})}

Next Step Prepare to Evaluate

∴

ṁ choke = (\frac{1.4}{\sqrt{1.4 - 1}}) \cdot {(\frac{1.4 + 1}{2})}^{- (\frac{1.4 + 1}{2 \cdot 1.4 - 2})}

Next Step Evaluate

∴

ṁ choke = 1.28101525585525

LAST Step Rounding Answer

∴

ṁ choke = 1.281

Choked Mass Flow Rate given specific heat ratio 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

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Heat Ratio

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

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

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 given specific heat ratio?

Choked Mass Flow Rate given specific heat ratio evaluator uses 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))) to evaluate the Choked Mass Flow Rate, The Choked Mass Flow Rate given specific heat ratio formulas describes when the engine gets maximum mass flow rate through the nozzle. It is observed when the Mach number is equal to one. The limiting of the mass flow rate is called choking of the flow. Choked Mass Flow Rate is denoted by ṁ_choke symbol.

How to evaluate Choked Mass Flow Rate given specific heat ratio using this online evaluator? To use this online evaluator for Choked Mass Flow Rate given specific heat ratio, enter Specific Heat Ratio (γ) and hit the calculate button.

FAQs on Choked Mass Flow Rate given specific heat ratio

What is the formula to find Choked Mass Flow Rate given specific heat ratio?

The formula of Choked Mass Flow Rate given specific heat ratio is expressed as 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))). Here is an example- 1.281015 = (1.4/(sqrt(1.4-1)))*((1.4+1)/2)^(-((1.4+1)/(2*1.4-2))).

How to calculate Choked Mass Flow Rate given specific heat ratio?

With Specific Heat Ratio (γ) we can find Choked Mass Flow Rate given specific heat ratio using the formula - 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))). 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=(Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

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