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Mach Number with Fluids 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 = \frac{u f}{\sqrt{Y \cdot R \cdot T f}}

M - Mach Number?u_f - Fluid Velocity?Y - Specific Heat Ratio?R - Universal Gas Constant?T_f - Final Temperature?

Mach Number with Fluids Example

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

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

Here is how the Mach Number with Fluids equation looks like.

3.7789 = \frac{256}{\sqrt{1.6 \cdot 8.314 \cdot 345}}

3.7789 = \frac{256m/s}{\sqrt{1.6 \cdot 8.314 \cdot 345K}}

3.7789 = \frac{256}{\sqrt{1.6 \cdot 8.314 \cdot 345}}

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Mach Number with Fluids Solution

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

FIRST Step Consider the formula

M = \frac{u f}{\sqrt{Y \cdot R \cdot T f}}

Next Step Substitute values of Variables

∴

M = \frac{256m/s}{\sqrt{1.6 \cdot 8.314 \cdot 345K}}

Next Step Prepare to Evaluate

∴

M = \frac{256}{\sqrt{1.6 \cdot 8.314 \cdot 345}}

Next Step Evaluate

∴

M = 3.77890014713358

LAST Step Rounding Answer

∴

M = 3.7789

Mach Number with Fluids 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

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

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: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Universal Gas Constant

Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Universal Gas Constant

Final Temperature

Final Temperature is the measure of hotness or coldness of a system at its final state.

Symbol: T_f

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Final Temperature

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 in Hypersonic Flow Parameters category

Go Axial Force Coefficient

μ = \frac{F}{q \cdot A}

Go Coefficient of Drag

C D = \frac{F D}{q \cdot A}

Go Coefficient of Pressure with Similarity Parameters

C p = 2 \cdot θ^{2} \cdot (\frac{Y + 1}{4} + \sqrt{{(\frac{Y + 1}{4})}^{2} + \frac{1}{K^{2}}})

Go Deflection Angle

θ d = \frac{2}{Y - 1} \cdot (\frac{1}{M 1} - \frac{1}{M 2})

How to Evaluate Mach Number with Fluids?

Mach Number with Fluids evaluator uses Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature)) to evaluate the Mach Number, Mach Number with Fluids formula is defined as a dimensionless quantity used to describe the speed of an object moving through a fluid, typically air, in hypersonic flow conditions, providing a measure of the object's speed relative to the speed of sound in the fluid. Mach Number is denoted by M symbol.

How to evaluate Mach Number with Fluids using this online evaluator? To use this online evaluator for Mach Number with Fluids, enter Fluid Velocity (u_f), Specific Heat Ratio (Y), Universal Gas Constant (R) & Final Temperature (T_f) and hit the calculate button.

FAQs on Mach Number with Fluids

What is the formula to find Mach Number with Fluids?

The formula of Mach Number with Fluids is expressed as Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature)). Here is an example- 0.177136 = 256/(sqrt(1.6*8.314*345)).

How to calculate Mach Number with Fluids?

With Fluid Velocity (u_f), Specific Heat Ratio (Y), Universal Gas Constant (R) & Final Temperature (T_f) we can find Mach Number with Fluids using the formula - Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature)). This formula also uses Square Root (sqrt) function(s).

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Mach Number with Fluids Formula

Mach Number with Fluids Example

Mach Number with Fluids Solution

Mach Number with Fluids Formula Elements

Other formulas in Hypersonic Flow Parameters category

How to Evaluate Mach Number with Fluids?

FAQs on Mach Number with Fluids

Variable Name