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Relation between Mach Number and Characteristic Mach Number Formula

GoCharacteristic Mach Number Formula

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Characteristic Mach number is defined as the speed of an object to the speed of sound at the sonic condition. Check FAQs

M cr = {(\frac{γ + 1}{γ - 1 + \frac{2}{M^{2}}})}^{0.5}

M_cr - Characteristic Mach Number?γ - Specific Heat Ratio?M - Mach Number?

Relation between Mach Number and Characteristic Mach Number Example

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Here is how the Relation between Mach Number and Characteristic Mach Number equation looks like with Values.

Here is how the Relation between Mach Number and Characteristic Mach Number equation looks like with Units.

Here is how the Relation between Mach Number and Characteristic Mach Number equation looks like.

1.0248 = {(\frac{1.4 + 1}{1.4 - 1 + \frac{2}{{1.03}^{2}}})}^{0.5}

1.0248 = {(\frac{1.4 + 1}{1.4 - 1 + \frac{2}{{1.03}^{2}}})}^{0.5}

1.0248 = {(\frac{1.4 + 1}{1.4 - 1 + \frac{2}{{1.03}^{2}}})}^{0.5}

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Relation between Mach Number and Characteristic Mach Number Solution

Follow our step by step solution on how to calculate Relation between Mach Number and Characteristic Mach Number?

FIRST Step Consider the formula

M cr = {(\frac{γ + 1}{γ - 1 + \frac{2}{M^{2}}})}^{0.5}

Next Step Substitute values of Variables

∴

M cr = {(\frac{1.4 + 1}{1.4 - 1 + \frac{2}{{1.03}^{2}}})}^{0.5}

Next Step Prepare to Evaluate

∴

M cr = {(\frac{1.4 + 1}{1.4 - 1 + \frac{2}{{1.03}^{2}}})}^{0.5}

Next Step Evaluate

∴

M cr = 1.02481220882507

LAST Step Rounding Answer

∴

M cr = 1.0248

Relation between Mach Number and Characteristic Mach Number Formula Elements

Variables

Characteristic Mach Number

Characteristic Mach number is defined as the speed of an object to the speed of sound at the sonic condition.

Symbol: M_cr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Characteristic Mach Number

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be between 1 to 2.

Formulas to find Specific Heat Ratio

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.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Other Formulas to find Characteristic Mach Number

Go Characteristic Mach Number

M cr = \frac{u f}{a cr}

Other formulas in Normal Shock Relations category

Go Downstream Velocity using Prandtl Relation

V 2 = \frac{{a cr}^{2}}{V 1}

Go Upstream Velocity using Prandtl Relation

V 1 = \frac{{a cr}^{2}}{V 2}

Go Critical Speed of Sound from Prandtl Relation

a cr = \sqrt{V 2 \cdot V 1}

Go Enthalpy Difference using Hugoniot Equation

ΔH = 0.5 \cdot (P 2 - P 1) \cdot (\frac{ρ 1 + ρ 2}{ρ 2 \cdot ρ 1})

How to Evaluate Relation between Mach Number and Characteristic Mach Number?

Relation between Mach Number and Characteristic Mach Number evaluator uses Characteristic Mach Number = ((Specific Heat Ratio+1)/(Specific Heat Ratio-1+2/(Mach Number^2)))^0.5 to evaluate the Characteristic Mach Number, The Relation between Mach Number and Characteristic Mach Number calculates the characteristic Mach number of a fluid at a normal shock wave based on the Mach number of the flow. This formula incorporates the ratio of specific heats for the fluid and provides insight into the relationship between the Mach number and the characteristic Mach number under compressible flow conditions. Characteristic Mach Number is denoted by M_cr symbol.

How to evaluate Relation between Mach Number and Characteristic Mach Number using this online evaluator? To use this online evaluator for Relation between Mach Number and Characteristic Mach Number, enter Specific Heat Ratio (γ) & Mach Number (M) and hit the calculate button.

FAQs on Relation between Mach Number and Characteristic Mach Number

What is the formula to find Relation between Mach Number and Characteristic Mach Number?

The formula of Relation between Mach Number and Characteristic Mach Number is expressed as Characteristic Mach Number = ((Specific Heat Ratio+1)/(Specific Heat Ratio-1+2/(Mach Number^2)))^0.5. Here is an example- 1.024812 = ((1.4+1)/(1.4-1+2/(1.03^2)))^0.5.

How to calculate Relation between Mach Number and Characteristic Mach Number?

With Specific Heat Ratio (γ) & Mach Number (M) we can find Relation between Mach Number and Characteristic Mach Number using the formula - Characteristic Mach Number = ((Specific Heat Ratio+1)/(Specific Heat Ratio-1+2/(Mach Number^2)))^0.5.

What are the other ways to Calculate Characteristic Mach Number?

Here are the different ways to Calculate Characteristic Mach Number-

Characteristic Mach Number=Fluid Velocity/Critical Speed of Sound

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Relation between Mach Number and Characteristic Mach Number Formula

​GoCharacteristic Mach Number Formula

Relation between Mach Number and Characteristic Mach Number Example

Relation between Mach Number and Characteristic Mach Number Solution

Relation between Mach Number and Characteristic Mach Number Formula Elements

Other Formulas to find Characteristic Mach Number

Other formulas in Normal Shock Relations category

How to Evaluate Relation between Mach Number and Characteristic Mach Number?

FAQs on Relation between Mach Number and Characteristic Mach Number

Variable Name

GoCharacteristic Mach Number Formula