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Static Temperature over Flat Plate using Static Mach Number Formula

GoStatic Temperature over Flat Plate under Viscous, Very High Mach Flow Formula

GoStatic Temperature of Plate using Wall Viscosity Formula

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The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing. Check FAQs

T static = \frac{Tw}{(1 + \frac{γ - 1}{2}) \cdot M^{2}}

T_static - Static Temperature?Tw - Wall Temperature?γ - Specific Heat Ratio?M - Mach Number?

Static Temperature over Flat Plate using Static Mach Number Example

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Here is how the Static Temperature over Flat Plate using Static Mach Number equation looks like with Values.

Here is how the Static Temperature over Flat Plate using Static Mach Number equation looks like with Units.

Here is how the Static Temperature over Flat Plate using Static Mach Number equation looks like.

1.2821 = \frac{15}{(1 + \frac{1.6 - 1}{2}) \cdot 3^{2}}

1.2821K = \frac{15K}{(1 + \frac{1.6 - 1}{2}) \cdot 3^{2}}

1.2821 = \frac{15}{(1 + \frac{1.6 - 1}{2}) \cdot 3^{2}}

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Static Temperature over Flat Plate using Static Mach Number Solution

Follow our step by step solution on how to calculate Static Temperature over Flat Plate using Static Mach Number?

FIRST Step Consider the formula

T static = \frac{Tw}{(1 + \frac{γ - 1}{2}) \cdot M^{2}}

Next Step Substitute values of Variables

∴

T static = \frac{15K}{(1 + \frac{1.6 - 1}{2}) \cdot 3^{2}}

Next Step Prepare to Evaluate

∴

T static = \frac{15}{(1 + \frac{1.6 - 1}{2}) \cdot 3^{2}}

Next Step Evaluate

∴

T static = 1.28205128205128K

LAST Step Rounding Answer

∴

T static = 1.2821K

Static Temperature over Flat Plate using Static Mach Number Formula Elements

Variables

Static Temperature

The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.

Symbol: T_static

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Static Temperature

Wall Temperature

Wall Temperature is the temperature at the wall.

Symbol: Tw

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Wall Temperature

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.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Mach Number

Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Other Formulas to find Static Temperature

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

T static = \frac{T w}{(\frac{γ - 1}{2}) \cdot M^{2}}

Go Static Temperature of Plate using Wall Viscosity

T static = \frac{T w}{\frac{μ w}{μe}}

Go Static Temperature of Fluid over Flat Plate

T static = \frac{T w}{\frac{ρ e}{ρ w}}

Other formulas in Static Parameters for Hypersonic Flow category

Go Static Viscosity using Wall Temperature and Static Temperature

μe = \frac{μ w}{\frac{Tw}{T static}}

Go Static Density of Fluid over Flat Plate

ρ e = \frac{Tw}{T static} \cdot ρ w

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

Static Temperature over Flat Plate using Static Mach Number evaluator uses Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2) to evaluate 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 evaluate Static Temperature over Flat Plate using Static Mach Number using this online evaluator? To use this online evaluator 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.

FAQs on Static Temperature over Flat Plate using Static Mach Number

What is the formula to find Static Temperature over Flat Plate using Static Mach Number?

The formula of Static Temperature over Flat Plate using Static Mach Number is expressed as Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2). Here is an example- 1.282051 = 15/((1+(1.6-1)/2)*3^2).

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

With Wall Temperature (Tw), Specific Heat Ratio (γ) & Mach Number (M) we can find Static Temperature over Flat Plate using Static Mach Number using the formula - Static Temperature = Wall Temperature/((1+(Specific Heat Ratio-1)/2)*Mach Number^2).

What are the other ways to Calculate Static Temperature?

Here are the different ways to Calculate Static Temperature-

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)

Can the Static Temperature over Flat Plate using Static Mach Number be negative?

No, the Static Temperature over Flat Plate using Static Mach Number, measured in Temperature cannot be negative.

Which unit is used to measure Static Temperature over Flat Plate using Static Mach Number?

Static Temperature over Flat Plate using Static Mach Number is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Static Temperature over Flat Plate using Static Mach Number can be measured.

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