Wall Temperature over Flat Plate under Viscous, Very High Mach Flow Calculator

✖The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.ⓘ Static Temperature [T_static]			+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%

✖Wall Temperature is the temperature at the wall.ⓘ Wall Temperature over Flat Plate under Viscous, Very High Mach Flow [Tw]

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Formula

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

Formula

`"Tw" = "T"_{"static"}*(("γ"-1)/2)*"M"^2`

Example

`"945K"="350K"*(("1.6"-1)/2)*("3")^2`

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Wall Temperature over Flat Plate under Viscous, Very High Mach Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Static Temperature: 350 Kelvin --> 350 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

Tw = T_static*((γ-1)/2)*M^2 --> 350*((1.6-1)/2)*3^2

Evaluating ... ...

Tw = 945

STEP 3: Convert Result to Output's Unit

945 Kelvin --> No Conversion Required

FINAL ANSWER

945 Kelvin <-- Wall Temperature

(Calculation completed in 00.004 seconds)

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Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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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 under Viscous, Very High Mach Flow Formula

Wall Temperature = Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2
Tw = T_static*((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 Wall Temperature over Flat Plate under Viscous, Very High Mach Flow?

Wall Temperature over Flat Plate under Viscous, Very High Mach Flow calculator uses Wall Temperature = Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2 to calculate the Wall Temperature, The Wall temperature over flat plate under viscous, very high Mach flow 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 under Viscous, Very High Mach Flow using this online calculator? To use this online calculator for Wall Temperature over Flat Plate under Viscous, Very High Mach Flow, enter Static Temperature (T_static), Specific Heat Ratio (γ) & Mach Number (M) and hit the calculate button. Here is how the Wall Temperature over Flat Plate under Viscous, Very High Mach Flow calculation can be explained with given input values -> 945 = 350*((1.6-1)/2)*3^2.

FAQ

What is Wall Temperature over Flat Plate under Viscous, Very High Mach Flow?

The Wall temperature over flat plate under viscous, very high Mach flow formula is defined as the function of specific heat ratio , static temperature and Mach number of the flow and is represented as Tw = T_static*((γ-1)/2)*M^2 or Wall Temperature = Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2. The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing, 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 Wall Temperature over Flat Plate under Viscous, Very High Mach Flow?

The Wall temperature over flat plate under viscous, very high Mach flow 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*((Specific Heat Ratio-1)/2)*Mach Number^2. To calculate Wall Temperature over Flat Plate under Viscous, Very High Mach Flow, you need Static Temperature (T_static), Specific Heat Ratio (γ) & Mach Number (M). With our tool, you need to enter the respective value for Static 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 Wall Temperature?

In this formula, Wall Temperature uses Static Temperature, Specific Heat Ratio & Mach Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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