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

GoLarge Mach Number over Flat Plate using Static Temperature and Wall Temperature Formula

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

M = \sqrt{\frac{\frac{T w}{T static} - 1}{\frac{γ - 1}{2}}}

M - Mach Number?T_w - Temperature of Wall in Kelvin?T_static - Static Temperature?γ - Specific Heat Ratio?

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

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

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

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

0.2582 = \sqrt{\frac{\frac{357}{350} - 1}{\frac{1.6 - 1}{2}}}

0.2582 = \sqrt{\frac{\frac{357K}{350K} - 1}{\frac{1.6 - 1}{2}}}

0.2582 = \sqrt{\frac{\frac{357}{350} - 1}{\frac{1.6 - 1}{2}}}

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

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

FIRST Step Consider the formula

M = \sqrt{\frac{\frac{T w}{T static} - 1}{\frac{γ - 1}{2}}}

Next Step Substitute values of Variables

∴

M = \sqrt{\frac{\frac{357K}{350K} - 1}{\frac{1.6 - 1}{2}}}

Next Step Prepare to Evaluate

∴

M = \sqrt{\frac{\frac{357}{350} - 1}{\frac{1.6 - 1}{2}}}

Next Step Evaluate

∴

M = 0.258198889747161

LAST Step Rounding Answer

∴

M = 0.2582

Mach Number over Flat Plate using Static Temperature and Wall Temperature Formula Elements

Variables

Functions

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

Temperature of Wall in Kelvin

Temperature of wall in Kelvin is the wall temperature of the body under a flow.

Symbol: T_w

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Wall in Kelvin

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Mach Number

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

M = \sqrt{\frac{\frac{Tw}{T static}}{\frac{γ - 1}{2}}}

Other formulas in Supersonic Aerothermodynamics category

Go Wall Density of Fluid over Flat Plate

ρ w = \frac{ρ e}{\frac{Tw}{T static}}

Go Viscosity of Wall using Wall Temperature and Static Temperature

μ w = μe \cdot \frac{Tw}{T static}

Go Total Temperature over Flat Plate under Viscous Mach Flow

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

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

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

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

Mach Number over Flat Plate using Static Temperature and Wall Temperature evaluator uses Mach Number = sqrt((Temperature of Wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2)) to evaluate the Mach Number, The Mach number over flat plate using static temperature and wall temperature formula is defined as the function of specific heat ratio, wall temperature, and static temperature of the flow. Mach Number is denoted by M symbol.

How to evaluate Mach Number over Flat Plate using Static Temperature and Wall Temperature using this online evaluator? To use this online evaluator for Mach Number over Flat Plate using Static Temperature and Wall Temperature, enter Temperature of Wall in Kelvin (T_w), Static Temperature (T_static) & Specific Heat Ratio (γ) and hit the calculate button.

FAQs on Mach Number over Flat Plate using Static Temperature and Wall Temperature

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

The formula of Mach Number over Flat Plate using Static Temperature and Wall Temperature is expressed as Mach Number = sqrt((Temperature of Wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2)). Here is an example- 0.258199 = sqrt((357/350-1)/((1.6-1)/2)).

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

With Temperature of Wall in Kelvin (T_w), Static Temperature (T_static) & Specific Heat Ratio (γ) we can find Mach Number over Flat Plate using Static Temperature and Wall Temperature using the formula - Mach Number = sqrt((Temperature of Wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mach Number?

Here are the different ways to Calculate Mach Number-

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

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

​GoLarge Mach Number over Flat Plate using Static Temperature and Wall Temperature Formula

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

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

Mach Number over Flat Plate using Static Temperature and Wall Temperature Formula Elements

Other Formulas to find Mach Number

Other formulas in Supersonic Aerothermodynamics category

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

FAQs on Mach Number over Flat Plate using Static Temperature and Wall Temperature

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GoLarge Mach Number over Flat Plate using Static Temperature and Wall Temperature Formula