Wall Temperature over Flat Plate using Static Mach Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wall Temperature = Static Temperature*Mach Number^2*(1+(Specific Heat Ratio-1)/2)
Tw = Tstatic*M^2*(1+(γ-1)/2)
This formula uses 4 Variables
Variables Used
Wall Temperature - (Measured in Kelvin) - Wall Temperature is the temperature at the wall.
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.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
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.
STEP 1: Convert Input(s) to Base Unit
Static Temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Mach Number: 3 --> No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tw = Tstatic*M^2*(1+(γ-1)/2) --> 350*3^2*(1+(1.6-1)/2)
Evaluating ... ...
Tw = 4095
STEP 3: Convert Result to Output's Unit
4095 Kelvin --> No Conversion Required
FINAL ANSWER
4095 Kelvin <-- Wall Temperature
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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PSG College of Technology (PSGCT), Coimbatore
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4 Wall Temperature Calculators

Wall Temperature of Plate using Wall Viscosity
Go Temperature of wall in Kelvin = Static Temperature*Wall Viscosity/Static Viscosity
Wall Temperature over Flat Plate using Static Mach Number
Go Wall Temperature = Static Temperature*Mach Number^2*(1+(Specific Heat Ratio-1)/2)
Wall Temperature over Flat Plate under Viscous, Very High Mach Flow
Go Wall Temperature = Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2
Wall Temperature of Fluid over Flat Plate
Go Temperature of wall in Kelvin = Static density/Wall Density*Static Temperature

Wall Temperature over Flat Plate using Static Mach Number Formula

Wall Temperature = Static Temperature*Mach Number^2*(1+(Specific Heat Ratio-1)/2)
Tw = Tstatic*M^2*(1+(γ-1)/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 Wall Temperature over Flat Plate using Static Mach Number?

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

How to calculate Wall Temperature over Flat Plate using Static Mach Number using this online calculator? To use this online calculator for Wall Temperature over Flat Plate using Static Mach Number, enter Static Temperature (Tstatic), Mach Number (M) & Specific Heat Ratio (γ) and hit the calculate button. Here is how the Wall Temperature over Flat Plate using Static Mach Number calculation can be explained with given input values -> 4095 = 350*3^2*(1+(1.6-1)/2).

FAQ

What is Wall Temperature over Flat Plate using Static Mach Number?
The Wall temperature over flat plate using Static Mach Number formula is defined as the function of specific heat ratio, static temperature, and Mach number of the flow and is represented as Tw = Tstatic*M^2*(1+(γ-1)/2) or Wall Temperature = Static Temperature*Mach Number^2*(1+(Specific Heat Ratio-1)/2). The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing, Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound & 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.
How to calculate Wall Temperature over Flat Plate using Static Mach Number?
The Wall temperature over flat plate using Static Mach Number formula is defined as the function of specific heat ratio, static temperature, and Mach number of the flow is calculated using Wall Temperature = Static Temperature*Mach Number^2*(1+(Specific Heat Ratio-1)/2). To calculate Wall Temperature over Flat Plate using Static Mach Number, you need Static Temperature (Tstatic), Mach Number (M) & Specific Heat Ratio (γ). With our tool, you need to enter the respective value for Static Temperature, Mach Number & Specific Heat 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 Wall Temperature?
In this formula, Wall Temperature uses Static Temperature, Mach Number & Specific Heat Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wall Temperature = Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2
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