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## Credits

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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## Relation between Characteristic Mach number and Mach number Solution

STEP 0: Pre-Calculation Summary
Formula Used
characteristic_mach_number = ((Specific heat ratio+1)/((Specific heat ratio-1)+(2/(Mach Number^2))))^0.5
M* = ((κ+1)/((κ-1)+(2/(M^2))))^0.5
This formula uses 2 Variables
Variables Used
Specific heat ratio- The Specific heat ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Mach Number- Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound
STEP 1: Convert Input(s) to Base Unit
Specific heat ratio: 1.392758 --> No Conversion Required
Mach Number: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M* = ((κ+1)/((κ-1)+(2/(M^2))))^0.5 --> ((1.392758+1)/((1.392758-1)+(2/(1^2))))^0.5
Evaluating ... ...
M* = 1
STEP 3: Convert Result to Output's Unit
1 --> No Conversion Required
1 <-- Characteristic Mach number
(Calculation completed in 00.000 seconds)

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

Isentropic temperature 2 given pressure ratio
isentropic_temperature_at_point_2_given_p2/p1 = Temperature of surface 1*(pressure 2/pressure 1)^((Specific heat ratio-1)/Specific heat ratio) Go
Isentropic temperature 1 given pressure ratio
isentropic_temperature_at_point_1_given_p2/p1 = Temperature of surface 2/(pressure 2/pressure 1)^((Specific heat ratio-1)/Specific heat ratio) Go
Isentropic temperature 1 given specific volume
isentropic_temperature_at_point_1_given_ν2/ν1 = Temperature of surface 2/(Specific volume at point 1/Specific volume at point 2)^(Specific heat ratio-1) Go
Isentropic temperature 2 given specific volume
isentropic_temperature_at_point_2_given_ν2/ν1 = Temperature of surface 1*(Specific volume at point 1/Specific volume at point 2)^(Specific heat ratio-1) Go
Isentropic Pressure at point 2
isentropic_pressure_at_point_2 = pressure 1*(Specific volume at point 1/Specific volume at point 2)^Specific heat ratio Go
Isentropic Pressure at point 1
isentropic_pressure_at_point_1 = pressure 2/(Specific volume at point 1/Specific volume at point 2)^Specific heat ratio Go
Temperature Ratio When Isentropic Pressure is Given
temperature_ratio_isentropic_pressure = (pressure 2/pressure 1)^((Specific heat ratio-1)/Specific heat ratio) Go
Temperature Ratio when Isentropic Specific Volume is Given
temperature_ratio_isentropic_specific_volume = (Specific volume at point 1/Specific volume at point 2)^(Specific heat ratio-1) Go
Pressure Ratio in Isentropic Process
pressure_ratio_isentropic_process = (Specific volume at point 1/Specific volume at point 2)^Specific heat ratio Go
Ratio of Stagnation and Static Temperature
stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) Go
Mach Angle
mach_angle = asin(1/Mach Number) Go

## < 1 Other formulas that calculate the same Output

Characteristic Mach number
characteristic_mach_number = Fluid Velocity/Critical speed of sound Go

### Relation between Characteristic Mach number and Mach number Formula

characteristic_mach_number = ((Specific heat ratio+1)/((Specific heat ratio-1)+(2/(Mach Number^2))))^0.5
M* = ((κ+1)/((κ-1)+(2/(M^2))))^0.5

## How is the Characteristic Mach number different from the actual Mach number?

Qualitatively, the Characteristic Mach number behaves in the same manner as the actual Mach number, except when the actual Mach number goes to infinity. Characteristic Mach number is a useful parameter while dealing with shocks and expansion waves because it approaches a finite value as the actual Mach number approaches infinity.

## How to Calculate Relation between Characteristic Mach number and Mach number?

Relation between Characteristic Mach number and Mach number calculator uses characteristic_mach_number = ((Specific heat ratio+1)/((Specific heat ratio-1)+(2/(Mach Number^2))))^0.5 to calculate the Characteristic Mach number, The Relation between Characteristic Mach number and Mach number shows that the Characteristic Mach number is a function of the Mach number and specific heat ratio. Characteristic Mach number and is denoted by M* symbol.

How to calculate Relation between Characteristic Mach number and Mach number using this online calculator? To use this online calculator for Relation between Characteristic Mach number and Mach number, enter Specific heat ratio (κ) and Mach Number (M) and hit the calculate button. Here is how the Relation between Characteristic Mach number and Mach number calculation can be explained with given input values -> 1 = ((1.392758+1)/((1.392758-1)+(2/(1^2))))^0.5.

### FAQ

What is Relation between Characteristic Mach number and Mach number?
The Relation between Characteristic Mach number and Mach number shows that the Characteristic Mach number is a function of the Mach number and specific heat ratio and is represented as M* = ((κ+1)/((κ-1)+(2/(M^2))))^0.5 or characteristic_mach_number = ((Specific heat ratio+1)/((Specific heat ratio-1)+(2/(Mach Number^2))))^0.5. The Specific heat ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume and Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
How to calculate Relation between Characteristic Mach number and Mach number?
The Relation between Characteristic Mach number and Mach number shows that the Characteristic Mach number is a function of the Mach number and specific heat ratio is calculated using characteristic_mach_number = ((Specific heat ratio+1)/((Specific heat ratio-1)+(2/(Mach Number^2))))^0.5. To calculate Relation between Characteristic Mach number and Mach number, you need Specific heat ratio (κ) and Mach Number (M). With our tool, you need to enter the respective value for Specific heat ratio and Mach Number 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 Characteristic Mach number?
In this formula, Characteristic Mach number uses Specific heat ratio and Mach Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
• characteristic_mach_number = Fluid Velocity/Critical speed of sound
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