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## Credits

Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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## Mach number Solution

STEP 0: Pre-Calculation Summary
Formula Used
mach_no = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temp.))
M = uf/(sqrt(γ*R*Tf))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Fluid Velocity - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area. (Measured in Meter per Second)
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 Temp. - Final Temp. of a body is the temperature after complete process (Measured in Kelvin)
STEP 1: Convert Input(s) to Base Unit
Fluid Velocity: 1 Meter per Second --> 1 Meter per Second No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required
Universal Gas Constant: 8.314 --> No Conversion Required
Final Temp.: 100 Kelvin --> 100 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = uf/(sqrt(γ*R*Tf)) --> 1/(sqrt(1.6*8.314*100))
Evaluating ... ...
M = 0.0274179511668387
STEP 3: Convert Result to Output's Unit
0.0274179511668387 --> No Conversion Required
0.0274179511668387 <-- Mach Number
(Calculation completed in 00.032 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Heat Loss due to Pipe
heat_loss_due_to_pipe = (Force*Length*Fluid Velocity^2)/(2*Diameter *Acceleration Due To Gravity) Go
Stanton Number (using basic fluid properties)
stanton_number = External convection heat transfer coefficient/(Specific Heat Capacity*Fluid Velocity*Density) Go
By Pass Factor
bypassfactor = (intermediate temperature-Final Temp.)/ (intermediate temperature-Initial Temp.) Go
Reynolds Number for Non-Circular Tubes
reynolds_number = Density*Fluid Velocity*Characteristic Length/Dynamic viscosity Go
Reynolds Number
reynolds_number = Liquid Density*Fluid Velocity*Pipe Diameter/Dynamic viscosity Go
Reynolds Number for Circular Tubes
reynolds_number = Density*Fluid Velocity*Diameter /Dynamic viscosity Go
Density of Gas when pressure and temperature of gas are given
density_of_gas = Pressure of Gas/(Universal Gas Constant*Temperature of Gas) Go
Turbulence
turbulent_stress = Density*Dynamic viscosity*Fluid Velocity Go
Inertial Force Per Unit Area
inertial_force_per_unit_area = (Fluid Velocity^2)*Density Go
Carnot Cycle of Heat Engine
carnotcycle_efficiency = 1-(Initial Temp./Final Temp.) Go
Otto Cycle Efficiency
otto_cycle_efficiency = 1-(Initial Temp./Final Temp.) Go

## < 4 Other formulas that calculate the same Output

Mach number at reference temperature
mach_no = sqrt(((Reference temperature/Static Temperature)-(1+0.58*((Wall temperature/Static Temperature)-1)))/0.032) Go
Mach number over a flat plate using static temperature and wall temperature
mach_no = sqrt(((Temperature of wall in Kelvin/Static Temperature)-1)/((Specific Heat Ratio-1)/2)) Go
Large Mach number over a flat plate using static temperature and wall temperature
mach_no = sqrt((Wall temperature/Static Temperature)/((Specific Heat Ratio-1)/2)) Go
Mach Number
mach_no = Speed of a body/Speed of Sound Go

### Mach number Formula

mach_no = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temp.))
M = uf/(sqrt(γ*R*Tf))

## 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?

Mach number calculator uses mach_no = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temp.)) to calculate the Mach Number, Mach number formula is defined as the ratio of velocity of flow after shock to the product of square root of the specific heat ratio, universal gas constant and temperature of fluid after shock. Mach Number and is denoted by M symbol.

How to calculate Mach number using this online calculator? To use this online calculator for Mach number, enter Fluid Velocity (uf), Specific Heat Ratio (γ), Universal Gas Constant (R) and Final Temp. (Tf) and hit the calculate button. Here is how the Mach number calculation can be explained with given input values -> 0.027418 = 1/(sqrt(1.6*8.314*100)).

### FAQ

What is Mach number?
Mach number formula is defined as the ratio of velocity of flow after shock to the product of square root of the specific heat ratio, universal gas constant and temperature of fluid after shock and is represented as M = uf/(sqrt(γ*R*Tf)) or mach_no = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temp.)). 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 and Final Temp. of a body is the temperature after complete process.
How to calculate Mach number?
Mach number formula is defined as the ratio of velocity of flow after shock to the product of square root of the specific heat ratio, universal gas constant and temperature of fluid after shock is calculated using mach_no = Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*Final Temp.)). To calculate Mach number, you need Fluid Velocity (uf), Specific Heat Ratio (γ), Universal Gas Constant (R) and Final Temp. (Tf). With our tool, you need to enter the respective value for Fluid Velocity, Specific Heat Ratio, Universal Gas Constant and Final Temp and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mach Number?
In this formula, Mach Number uses Fluid Velocity, Specific Heat Ratio, Universal Gas Constant and Final Temp. We can use 4 other way(s) to calculate the same, which is/are as follows -
• mach_no = Speed of a body/Speed of Sound
• mach_no = sqrt(((Reference temperature/Static Temperature)-(1+0.58*((Wall temperature/Static Temperature)-1)))/0.032)
• mach_no = sqrt(((Temperature of wall in Kelvin/Static Temperature)-1)/((Specific Heat Ratio-1)/2))
• mach_no = sqrt((Wall temperature/Static Temperature)/((Specific Heat Ratio-1)/2))
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