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

GoMach 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{Tw}{T static}}{\frac{γ - 1}{2}}}

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

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

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

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

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

0.378 = \sqrt{\frac{\frac{15}{350}}{\frac{1.6 - 1}{2}}}

0.378 = \sqrt{\frac{\frac{15K}{350K}}{\frac{1.6 - 1}{2}}}

0.378 = \sqrt{\frac{\frac{15}{350}}{\frac{1.6 - 1}{2}}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = \sqrt{\frac{\frac{15K}{350K}}{\frac{1.6 - 1}{2}}}

Next Step Prepare to Evaluate

∴

M = \sqrt{\frac{\frac{15}{350}}{\frac{1.6 - 1}{2}}}

Next Step Evaluate

∴

M = 0.377964473009227

LAST Step Rounding Answer

∴

M = 0.378

Large 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

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

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 Mach Number over Flat Plate using Static Temperature and Wall Temperature

M = \sqrt{\frac{\frac{T w}{T static} - 1}{\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 Large Mach Number over Flat Plate using Static Temperature and Wall Temperature?

Large Mach Number over Flat Plate using Static Temperature and Wall Temperature evaluator uses Mach Number = sqrt((Wall Temperature/Static Temperature)/((Specific Heat Ratio-1)/2)) to evaluate the Mach Number, The Large 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 Large Mach Number over Flat Plate using Static Temperature and Wall Temperature using this online evaluator? To use this online evaluator for Large Mach Number over Flat Plate using Static Temperature and Wall Temperature, enter Wall Temperature (Tw), Static Temperature (T_static) & Specific Heat Ratio (γ) and hit the calculate button.

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

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

The formula of Large Mach Number over Flat Plate using Static Temperature and Wall Temperature is expressed as Mach Number = sqrt((Wall Temperature/Static Temperature)/((Specific Heat Ratio-1)/2)). Here is an example- 0.377964 = sqrt((15/350)/((1.6-1)/2)).

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

With Wall Temperature (Tw), Static Temperature (T_static) & Specific Heat Ratio (γ) we can find Large Mach Number over Flat Plate using Static Temperature and Wall Temperature using the formula - Mach Number = sqrt((Wall Temperature/Static Temperature)/((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((Temperature of Wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2))

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