Static Temperature over Flat Plate using Static Mach Number Calculator

✖Wall Temperature is the temperature at the wall.ⓘ Wall Temperature [Tw]			+10% -10%
✖The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖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 Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.ⓘ Static Temperature over Flat Plate using Static Mach Number [T_static]

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Static Temperature over Flat Plate using Static Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2)
T_static = Tw/((1+(γ-1)/2)*M^2)
This formula uses 4 Variables

Variables Used

Static Temperature - (Measured in Kelvin) - The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.
Wall Temperature - (Measured in Kelvin) - Wall Temperature is the temperature at the wall.
Specific Heat Ratio - The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Wall Temperature: 15 Kelvin --> 15 Kelvin No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required
Mach Number: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_static = Tw/((1+(γ-1)/2)*M^2) --> 15/((1+(1.6-1)/2)*3^2)

Evaluating ... ...

T_static = 1.28205128205128

STEP 3: Convert Result to Output's Unit

1.28205128205128 Kelvin --> No Conversion Required

FINAL ANSWER

1.28205128205128 ≈ 1.282051 Kelvin <-- Static Temperature

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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PSG College of Technology (PSGCT), Coimbatore

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< Static Parameters for Hypersonic Flow Calculators

Static Temperature over Flat Plate under Viscous, Very High Mach Flow

LaTeX Go Static Temperature = Temperature of Wall in Kelvin/(((Specific Heat Ratio-1)/2)*Mach Number^2)

Static Temperature of Plate using Wall Viscosity

LaTeX Go Static Temperature = Temperature of Wall in Kelvin/(Wall Viscosity/Static Viscosity)

Static Temperature over Flat Plate using Static Mach Number

LaTeX Go Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2)

Static Viscosity using Wall Temperature and Static Temperature

LaTeX Go Static Viscosity = Wall Viscosity/(Wall Temperature/Static Temperature)

Static Temperature over Flat Plate using Static Mach Number Formula

LaTeX Go

Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2)
T_static = Tw/((1+(γ-1)/2)*M^2)

What is Mach number?

Mach number 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 Static Temperature over Flat Plate using Static Mach Number?

Static Temperature over Flat Plate using Static Mach Number calculator uses Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2) to calculate the Static Temperature, The Static temperature over flat plate using Static Mach Number formula is defined as the function of the specific heat ratio, wall temperature, and Mach number of the flow. Static Temperature is denoted by T_static symbol.

How to calculate Static Temperature over Flat Plate using Static Mach Number using this online calculator? To use this online calculator for Static Temperature over Flat Plate using Static Mach Number, enter Wall Temperature (Tw), Specific Heat Ratio (γ) & Mach Number (M) and hit the calculate button. Here is how the Static Temperature over Flat Plate using Static Mach Number calculation can be explained with given input values -> 1.282051 = 15/((1+(1.6-1)/2)*3^2).

FAQ

What is Static Temperature over Flat Plate using Static Mach Number?

The Static temperature over flat plate using Static Mach Number formula is defined as the function of the specific heat ratio, wall temperature, and Mach number of the flow and is represented as T_static = Tw/((1+(γ-1)/2)*M^2) or Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2). Wall Temperature is the temperature at the wall, The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume & Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Static Temperature over Flat Plate using Static Mach Number?

The Static temperature over flat plate using Static Mach Number formula is defined as the function of the specific heat ratio, wall temperature, and Mach number of the flow is calculated using Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2). To calculate Static Temperature over Flat Plate using Static Mach Number, you need Wall Temperature (Tw), Specific Heat Ratio (γ) & Mach Number (M). With our tool, you need to enter the respective value for Wall Temperature, Specific Heat Ratio & Mach Number 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 Static Temperature?

In this formula, Static Temperature uses Wall Temperature, Specific Heat Ratio & Mach Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Static Temperature = Temperature of Wall in Kelvin/(((Specific Heat Ratio-1)/2)*Mach Number^2)
Static Temperature = Temperature of Wall in Kelvin/(Wall Viscosity/Static Viscosity)
Static Temperature = Temperature of Wall in Kelvin/(Static Density/Wall Density)

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