Total 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%

✖Total Temperature is the sum of the static temperature and the dynamic temperature.ⓘ Total Temperature over Flat Plate under Viscous Very High Mach Flow [T_t]

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Formula

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Total Temperature over Flat Plate under Viscous Very High Mach Flow

Formula

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

Example

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

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Total Temperature over Flat Plate under Viscous Very High Mach Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Total Temperature - (Measured in Kelvin) - Total Temperature is the sum of the static temperature and the dynamic temperature.
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

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

Evaluating ... ...

T_t = 945

STEP 3: Convert Result to Output's Unit

945 Kelvin --> No Conversion Required

FINAL ANSWER

945 Kelvin <-- Total 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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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 8 Supersonic Aerothermodynamics Calculators

Mach Number over Flat Plate using Static Temperature and Wall Temperature

Go Mach Number = sqrt((Temperature of wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2))

Total Temperature over Flat Plate under Viscous Mach Flow

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

Large Mach Number over Flat Plate using Static Temperature and Wall Temperature

Go Mach Number = sqrt((Wall Temperature/Static Temperature)/((Specific Heat Ratio-1)/2))

Total Temperature over Flat Plate under Viscous Very High Mach Flow

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

Viscosity of Wall using Wall Temperature and Static Temperature

Go Wall Viscosity = Static Viscosity*Wall Temperature/Static Temperature

Wall Density of Fluid over Flat Plate

Go Wall Density = Static density/(Wall Temperature/Static Temperature)

Pressure Ratio for Cold-Wall Case Weak Interaction

Go Pressure Ratio = 1+0.078*Viscous Interaction Similarity Parameter

Pressure Ratio for Cold-Wall Case Strong Interaction

Go Pressure Ratio = 1+0.15*Viscous Interaction Similarity Parameter

Total Temperature over Flat Plate under Viscous Very High Mach Flow Formula

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

Total Temperature over Flat Plate under Viscous Very High Mach Flow calculator uses Total Temperature = Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2 to calculate the Total Temperature, The Total 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. Total Temperature is denoted by T_t symbol.

How to calculate Total Temperature over Flat Plate under Viscous Very High Mach Flow using this online calculator? To use this online calculator for Total 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 Total 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 Total Temperature over Flat Plate under Viscous Very High Mach Flow?

The Total 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 T_t = T_static*((γ-1)/2)*M^2 or Total 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 Total Temperature over Flat Plate under Viscous Very High Mach Flow?

The Total 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 Total Temperature = Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2. To calculate Total 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 Total Temperature?

In this formula, Total 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 -

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

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