Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow Calculator

✖Stagnation Temperature in Compressible Flow is defined as the temperature of the fluid at a stagnation point in the compressible fluid flow.ⓘ Stagnation Temperature in Compressible Flow [T_s]			+10% -10%
✖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.ⓘ Specific Heat Ratio [y]			+10% -10%
✖Mach Number for Compressible Flow is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number for Compressible Flow [M]			+10% -10%

✖Temperature of Still Air is the temperature of the nonflowing air with zero velocity.ⓘ Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow [T₁]

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Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow

Formula

`"T"_{"1"} = "T"_{"s"}/(1+("y"-1)/2*"M"^2)`

Example

`"240.1493K"="314K"/(1+("1.4"-1)/2*("1.24")^2)`

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Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Still Air = Stagnation Temperature in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)
T₁ = T_s/(1+(y-1)/2*M^2)
This formula uses 4 Variables

Variables Used

Temperature of Still Air - (Measured in Kelvin) - Temperature of Still Air is the temperature of the nonflowing air with zero velocity.
Stagnation Temperature in Compressible Flow - (Measured in Kelvin) - Stagnation Temperature in Compressible Flow is defined as the temperature of the fluid at a stagnation point in the compressible fluid flow.
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.
Mach Number for Compressible Flow - Mach Number for Compressible Flow is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Stagnation Temperature in Compressible Flow: 314 Kelvin --> 314 Kelvin No Conversion Required
Specific Heat Ratio: 1.4 --> No Conversion Required
Mach Number for Compressible Flow: 1.24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T₁ = T_s/(1+(y-1)/2*M^2) --> 314/(1+(1.4-1)/2*1.24^2)

Evaluating ... ...

T₁ = 240.149290259422

STEP 3: Convert Result to Output's Unit

240.149290259422 Kelvin --> No Conversion Required

FINAL ANSWER

240.149290259422 ≈ 240.1493 Kelvin <-- Temperature of Still Air

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< 8 Stagnation Properties Calculators

Stagnation Pressure for Compressible Fluid Flow

Go Stagnation Pressure in Compressible Flow = Pressure of Still Air*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(Specific Heat Ratio/(Specific Heat Ratio-1))

Density of Fluid for Stagnation considering Compressible Fluid Flow

Go Density of Air Medium = Stagnation Density in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(1/(Specific Heat Ratio-1))

Stagnation Density given Compressible Fluid Flow

Go Stagnation Density in Compressible Flow = Density of Air Medium*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)^(1/(Specific Heat Ratio-1))

Stagnation Temperature considering other Stagnation Properties of Fluid

Go Stagnation Temperature in Compressible Flow = Stagnation Pressure in Compressible Flow/(Gas Constant in Compressible Flow*Stagnation Density in Compressible Flow)

Stagnation Density considering other Stagnation Properties of Fluid

Go Stagnation Density in Compressible Flow = Stagnation Pressure in Compressible Flow/(Gas Constant in Compressible Flow*Stagnation Temperature in Compressible Flow)

Stagnation Pressure considering other Stagnation Properties of Fluid

Go Stagnation Pressure in Compressible Flow = Stagnation Temperature in Compressible Flow*Gas Constant in Compressible Flow*Stagnation Density in Compressible Flow

Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow

Go Temperature of Still Air = Stagnation Temperature in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)

Stagnation Temperature considering Compressible Fluid Flow

Go Stagnation Temperature in Compressible Flow = Temperature of Still Air*(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)

Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow Formula

Temperature of Still Air = Stagnation Temperature in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2)
T₁ = T_s/(1+(y-1)/2*M^2)

What is a stagnation point in fluid mechanics?

In fluid dynamics, a stagnation point is a point in a flow field where the local velocity of the fluid is zero. Stagnation points exist at the surface of objects in the flow field, where the fluid is brought to rest by the object.

What is the significance of Mach number in compressible fluid flow?

The Mach Number is a dimensionless value useful for analyzing fluid flow dynamics problems where compressibility is a significant factor. The bulk modulus elasticity has the dimension pressure and is commonly used to characterize fluid compressibility. The square of the Mach number is the Cauchy Number.

How to Calculate Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow?

Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow calculator uses Temperature of Still Air = Stagnation Temperature in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2) to calculate the Temperature of Still Air, The Temperature of fluid for stagnation temperature considering compressible fluid flow is known while considering stagnation temperature, specific heat ratio, and the local Mach number. Temperature of Still Air is denoted by T₁ symbol.

How to calculate Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow using this online calculator? To use this online calculator for Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow, enter Stagnation Temperature in Compressible Flow (T_s), Specific Heat Ratio (y) & Mach Number for Compressible Flow (M) and hit the calculate button. Here is how the Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow calculation can be explained with given input values -> 240.1493 = 314/(1+(1.4-1)/2*1.24^2).

FAQ

What is Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow?

The Temperature of fluid for stagnation temperature considering compressible fluid flow is known while considering stagnation temperature, specific heat ratio, and the local Mach number and is represented as T₁ = T_s/(1+(y-1)/2*M^2) or Temperature of Still Air = Stagnation Temperature in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2). Stagnation Temperature in Compressible Flow is defined as the temperature of the fluid at a stagnation point in the compressible fluid flow, 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 & Mach Number for Compressible Flow is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow?

The Temperature of fluid for stagnation temperature considering compressible fluid flow is known while considering stagnation temperature, specific heat ratio, and the local Mach number is calculated using Temperature of Still Air = Stagnation Temperature in Compressible Flow/(1+(Specific Heat Ratio-1)/2*Mach Number for Compressible Flow^2). To calculate Temperature of Fluid for Stagnation Temperature considering Compressible Fluid Flow, you need Stagnation Temperature in Compressible Flow (T_s), Specific Heat Ratio (y) & Mach Number for Compressible Flow (M). With our tool, you need to enter the respective value for Stagnation Temperature in Compressible Flow, Specific Heat Ratio & Mach Number for Compressible Flow 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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