Mach Number given Impact and Static Pressure Calculator

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Compressible Flow

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Normal Shock Wave

Governing Equations and Sound Wave

Oblique Shock and Expansion Waves

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Normal Shock Relations

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Property Change Across Shock Waves

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✖Impact Pressure is the difference between total pressure and static pressure.ⓘ Impact Pressure [q_c]			+10% -10%
✖Static Pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state.ⓘ Static Pressure [p_st]			+10% -10%

✖Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number given Impact and Static Pressure [M]

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Formula

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Mach Number given Impact and Static Pressure

Formula

`"M" = (5*(("q"_{"c"}/"p"_{"st"}+1)^(2/7)-1))^(0.5)`

Example

`"1.054714"=(5*(("255Pa"/"250Pa"+1)^(2/7)-1))^(0.5)`

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Mach Number given Impact and Static Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5)
M = (5*((q_c/p_st+1)^(2/7)-1))^(0.5)
This formula uses 3 Variables

Variables Used

Mach Number - Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.
Impact Pressure - (Measured in Pascal) - Impact Pressure is the difference between total pressure and static pressure.
Static Pressure - (Measured in Pascal) - Static Pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state.

STEP 1: Convert Input(s) to Base Unit

Impact Pressure: 255 Pascal --> 255 Pascal No Conversion Required
Static Pressure: 250 Pascal --> 250 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (5*((q_c/p_st+1)^(2/7)-1))^(0.5) --> (5*((255/250+1)^(2/7)-1))^(0.5)

Evaluating ... ...

M = 1.05471366267165

STEP 3: Convert Result to Output's Unit

1.05471366267165 --> No Conversion Required

FINAL ANSWER

1.05471366267165 ≈ 1.054714 <-- Mach Number

(Calculation completed in 00.004 seconds)

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Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

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Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

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< 7 Normal Shock Relations Calculators

Enthalpy Difference using Hugoniot Equation

Go Enthalpy Change = 0.5*(Static pressure Behind Normal shock-Static Pressure Ahead of Normal Shock)*((Density Ahead of Normal Shock+Density Behind Normal Shock)/(Density Behind Normal Shock*Density Ahead of Normal Shock))

Relation between Mach Number and Characteristic Mach Number

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

Critical Speed of Sound from Prandtl Relation

Go Critical Speed of Sound = sqrt(Velocity Downstream of Shock*Velocity Upstream of Shock)

Downstream Velocity using Prandtl Relation

Go Velocity Downstream of Shock = (Critical Speed of Sound^2)/Velocity Upstream of Shock

Upstream Velocity using Prandtl Relation

Go Velocity Upstream of Shock = (Critical Speed of Sound^2)/Velocity Downstream of Shock

Mach Number given Impact and Static Pressure

Go Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5)

Characteristic Mach Number

Go Characteristic Mach Number = Fluid Velocity/Critical Speed of Sound

Mach Number given Impact and Static Pressure Formula

Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5)
M = (5*((q_c/p_st+1)^(2/7)-1))^(0.5)

What is a Mach Number?

Mach number M is defined as the ratio of the true airspeed V to the speed of sound and in the air at the flight altitude.

What is meant by impact pressure?

Impact pressure is the difference between total pressure (also known as pitot pressure or stagnation pressure) and static pressure.

How to Calculate Mach Number given Impact and Static Pressure?

Mach Number given Impact and Static Pressure calculator uses Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5) to calculate the Mach Number, The Mach number given Impact and Static pressure can be used for the calibration of Machmeters, where the Mach number is directly proportional to the ratio of the impact pressure to the static pressure. Mach Number is denoted by M symbol.

How to calculate Mach Number given Impact and Static Pressure using this online calculator? To use this online calculator for Mach Number given Impact and Static Pressure, enter Impact Pressure (q_c) & Static Pressure (p_st) and hit the calculate button. Here is how the Mach Number given Impact and Static Pressure calculation can be explained with given input values -> 0.23737 = (5*((255/250+1)^(2/7)-1))^(0.5).

FAQ

What is Mach Number given Impact and Static Pressure?

The Mach number given Impact and Static pressure can be used for the calibration of Machmeters, where the Mach number is directly proportional to the ratio of the impact pressure to the static pressure and is represented as M = (5*((q_c/p_st+1)^(2/7)-1))^(0.5) or Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5). Impact Pressure is the difference between total pressure and static pressure & Static Pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state.

How to calculate Mach Number given Impact and Static Pressure?

The Mach number given Impact and Static pressure can be used for the calibration of Machmeters, where the Mach number is directly proportional to the ratio of the impact pressure to the static pressure is calculated using Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5). To calculate Mach Number given Impact and Static Pressure, you need Impact Pressure (q_c) & Static Pressure (p_st). With our tool, you need to enter the respective value for Impact Pressure & Static Pressure 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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