Choked Mass Flow Rate given specific heat ratio Calculator

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✖Heat Capacity Ratio is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv) for a given substance.ⓘ Heat Capacity Ratio [γ]

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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.ⓘ Choked Mass Flow Rate given specific heat ratio [ṁ_choke]

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Formula

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Choked Mass Flow Rate given specific heat ratio

Formula

`"ṁ"_{"choke"} = ("γ"/(sqrt("γ"-1)))*(("γ"+1)/2)^(-(("γ"+1)/(2*"γ"-2)))`

Example

`"1.281015"=("1.4"/(sqrt("1.4"-1)))*(("1.4"+1)/2)^(-(("1.4"+1)/(2*"1.4"-2)))`

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Choked Mass Flow Rate given specific heat ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))
ṁ_choke = (γ/(sqrt(γ-1)))*((γ+1)/2)^(-((γ+1)/(2*γ-2)))
This formula uses 1 Functions, 2 Variables

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

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.
Heat Capacity Ratio - Heat Capacity Ratio is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv) for a given substance.

STEP 1: Convert Input(s) to Base Unit

Heat Capacity Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ṁ_choke = (γ/(sqrt(γ-1)))*((γ+1)/2)^(-((γ+1)/(2*γ-2))) --> (1.4/(sqrt(1.4-1)))*((1.4+1)/2)^(-((1.4+1)/(2*1.4-2)))

Evaluating ... ...

ṁ_choke = 1.28101525585525

STEP 3: Convert Result to Output's Unit

1.28101525585525 --> No Conversion Required

FINAL ANSWER

1.28101525585525 ≈ 1.281015 <-- Choked Mass Flow Rate

(Calculation completed in 00.004 seconds)

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Created by Shreyash

Rajiv Gandhi Institute of Technology (RGIT), Mumbai

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Indian Institute of Information Technology, Design And Manufacturing (IIITDM ), Jabalpur

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< 19 Thermodynamics and Governing Equations Calculators

Max work output in Brayton cycle

Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2

Choked Mass Flow Rate given specific heat ratio

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

Choked Mass Flow Rate

Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

Stagnation Velocity of Sound given Specific Heat at Constant Pressure

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)

Specific Heat of mixed out gas

Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)

Stagnation Temperature

Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)

Stagnation Velocity of Sound

Go Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)

Speed of Sound

Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Stagnation Velocity of Sound given Stagnation Enthalpy

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)

Heat Capacity Ratio

Go Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume

Efficiency of cycle

Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat

Internal Energy of Perfect Gas at given Temperature

Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature

Enthalpy of Ideal Gas at given Temperature

Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature

Stagnation enthalpy

Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2

Efficiency of Joule cycle

Go Efficiency of Joule Cycle = Net Work Output/Heat

Pressure Ratio

Go Pressure Ratio = Final Pressure/Initial Pressure

Work ratio in practical cycle

Go Work Ratio = 1-(Compressor Work/Turbine Work)

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Choked Mass Flow Rate given specific heat ratio Formula

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.

What is 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.

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

Choked Mass Flow Rate given specific heat ratio calculator uses Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2))) to calculate 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 calculate Choked Mass Flow Rate given specific heat ratio using this online calculator? To use this online calculator for Choked Mass Flow Rate given specific heat ratio, enter Heat Capacity Ratio (γ) and hit the calculate button. Here is how the Choked Mass Flow Rate given specific heat ratio calculation can be explained with given input values -> 1.281015 = (1.4/(sqrt(1.4-1)))*((1.4+1)/2)^(-((1.4+1)/(2*1.4-2))).

FAQ

What is Choked Mass Flow Rate given specific heat ratio?

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 and is represented as ṁ_choke = (γ/(sqrt(γ-1)))*((γ+1)/2)^(-((γ+1)/(2*γ-2))) or Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2))). Heat Capacity Ratio is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv) for a given substance.

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

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 is calculated using Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2))). To calculate Choked Mass Flow Rate given specific heat ratio, you need Heat Capacity Ratio (γ). With our tool, you need to enter the respective value for Heat Capacity Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Choked Mass Flow Rate?

In this formula, Choked Mass Flow Rate uses Heat Capacity Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

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