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Characteristic Mach Number Formula

GoRelation between Mach Number and Characteristic 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{u f}{a cr}

M_cr - Characteristic Mach Number?u_f - Fluid Velocity?a_cr - Critical Speed of Sound?

Characteristic Mach Number Example

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With units

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

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

Here is how the Characteristic Mach Number equation looks like.

0.1505 = \frac{12}{79.741}

0.1505 = \frac{12m/s}{79.741m/s}

0.1505 = \frac{12}{79.741}

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Characteristic Mach Number Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M cr = \frac{12m/s}{79.741m/s}

Next Step Prepare to Evaluate

∴

M cr = \frac{12}{79.741}

Next Step Evaluate

∴

M cr = 0.150487202317503

LAST Step Rounding Answer

∴

M cr = 0.1505

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

Fluid Velocity

Fluid Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

Symbol: u_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Fluid Velocity

Critical Speed of Sound

The Critical Speed of Sound is defined as the speed of sound at critical conditions in fluid flow.

Symbol: a_cr

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Critical Speed of Sound

Other Formulas to find Characteristic Mach Number

Go Relation between Mach Number and Characteristic Mach Number

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

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 Characteristic Mach Number?

Characteristic Mach Number evaluator uses Characteristic Mach Number = Fluid Velocity/Critical Speed of Sound to evaluate the Characteristic Mach Number, Characteristic Mach Number formula is defined as the ratio of flow velocity to the speed of sound in a compressible flow, providing insight into the behavior of shock waves and the flow characteristics in aerospace applications. Characteristic Mach Number is denoted by M_cr symbol.

How to evaluate Characteristic Mach Number using this online evaluator? To use this online evaluator for Characteristic Mach Number, enter Fluid Velocity (u_f) & Critical Speed of Sound (a_cr) and hit the calculate button.

FAQs on Characteristic Mach Number

What is the formula to find Characteristic Mach Number?

The formula of Characteristic Mach Number is expressed as Characteristic Mach Number = Fluid Velocity/Critical Speed of Sound. Here is an example- 0.150487 = 12/79.741.

How to calculate Characteristic Mach Number?

With Fluid Velocity (u_f) & Critical Speed of Sound (a_cr) we can find Characteristic Mach Number using the formula - Characteristic Mach Number = Fluid Velocity/Critical Speed of Sound.

What are the other ways to Calculate Characteristic Mach Number?

Here are the different ways to Calculate Characteristic Mach Number-

Characteristic Mach Number=((Specific Heat Ratio+1)/(Specific Heat Ratio-1+2/(Mach Number^2)))^0.5

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