Mach Number with Fluids Calculator

✖Fluid Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [u_f]			+10% -10%
✖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.ⓘ Specific Heat Ratio [Y]			+10% -10%
✖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 joulekelvin−1mole−1.ⓘ Universal Gas Constant [R]			+10% -10%
✖Final Temperature is the measure of hotness or coldness of a system at its final state.ⓘ Final Temperature [T_f]			+10% -10%

✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number with Fluids [M]

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Mach Number with Fluids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature))
M = u_f/(sqrt(Y*R*T_f))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Fluid Velocity - (Measured in Meter per Second) - Fluid Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
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.
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.
Final Temperature - (Measured in Kelvin) - Final Temperature is the measure of hotness or coldness of a system at its final state.

STEP 1: Convert Input(s) to Base Unit

Fluid Velocity: 256 Meter per Second --> 256 Meter per Second No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required
Universal Gas Constant: 8.314 --> No Conversion Required
Final Temperature: 345 Kelvin --> 345 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = u_f/(sqrt(Y*R*T_f)) --> 256/(sqrt(1.6*8.314*345))

Evaluating ... ...

M = 3.77890014713358

STEP 3: Convert Result to Output's Unit

3.77890014713358 --> No Conversion Required

FINAL ANSWER

3.77890014713358 ≈ 3.7789 <-- Mach Number

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Hypersonic Flow Parameters Calculators

Coefficient of Pressure with Similarity Parameters

LaTeX Go Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2))

Deflection Angle

LaTeX Go Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock)

Coefficient of Drag

LaTeX Go Drag Coefficient = Drag Force/(Dynamic Pressure*Area For Flow)

Axial Force Coefficient

LaTeX Go Coefficient of Force = Force/(Dynamic Pressure*Area For Flow)

Mach Number with Fluids Formula

LaTeX Go

Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature))
M = u_f/(sqrt(Y*R*T_f))

What is a Mach number?.

Mach number is the ratio of velocity of fluid after shock to the speed of sound i the same fluid. The Mach number is primarily used to determine the approximation with which a flow can be treated as an incompressible flow. The medium can be a gas or a liquid.

How to Calculate Mach Number with Fluids?

Mach Number with Fluids calculator uses Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature)) to calculate 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 calculate Mach Number with Fluids using this online calculator? To use this online calculator 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. Here is how the Mach Number with Fluids calculation can be explained with given input values -> 0.177136 = 256/(sqrt(1.6*8.314*345)).

FAQ

What is Mach Number with Fluids?

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 and is represented as M = u_f/(sqrt(Y*R*T_f)) or Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature)). Fluid Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area, 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, 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 & Final Temperature is the measure of hotness or coldness of a system at its final state.

How to calculate Mach Number with Fluids?

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 is calculated using Mach Number = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temperature)). To calculate Mach Number with Fluids, you need Fluid Velocity (u_f), Specific Heat Ratio (Y), Universal Gas Constant (R) & Final Temperature (T_f). With our tool, you need to enter the respective value for Fluid Velocity, Specific Heat Ratio, Universal Gas Constant & Final Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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