Critical Pressure Calculator

✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Stagnation Pressure at point in fluid flow is defined as the pressure that would exist if the flow were slowed down isentropically to zero velocity.ⓘ Stagnation Pressure [P₀]			+10% -10%

✖Critical Pressure is defined as the pressure that will exist at a point when the flow becomes sonic at that point.ⓘ Critical Pressure [p_cr]

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Critical Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Pressure = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))*Stagnation Pressure
p_cr = (2/(γ+1))^(γ/(γ-1))*P₀
This formula uses 3 Variables

Variables Used

Critical Pressure - (Measured in Pascal) - Critical Pressure is defined as the pressure that will exist at a point when the flow becomes sonic at that point.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.
Stagnation Pressure - (Measured in Pascal) - Stagnation Pressure at point in fluid flow is defined as the pressure that would exist if the flow were slowed down isentropically to zero velocity.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Stagnation Pressure: 5 Atmosphere Technical --> 490332.5 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_cr = (2/(γ+1))^(γ/(γ-1))*P₀ --> (2/(1.4+1))^(1.4/(1.4-1))*490332.5

Evaluating ... ...

p_cr = 259033.729675831

STEP 3: Convert Result to Output's Unit

259033.729675831 Pascal -->2.64140893858587 Atmosphere Technical (Check conversion here)

FINAL ANSWER

2.64140893858587 ≈ 2.641409 Atmosphere Technical <-- Critical Pressure

(Calculation completed in 00.004 seconds)

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Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< Governing Equations and Sound Wave Calculators

Speed of Sound

LaTeX Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Mayer's Formula

LaTeX Go Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume

Mach Number

LaTeX Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

LaTeX Go Mach Angle = asin(1/Mach Number)

Critical Pressure Formula

LaTeX Go

Critical Pressure = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))*Stagnation Pressure
p_cr = (2/(γ+1))^(γ/(γ-1))*P₀

What is Critical Pressure?

The Critical Pressure is defined as the pressure at a point in a fluid flow when the flow is accelerated or decelerated to sonic condition isentropically.

How to Calculate Critical Pressure?

Critical Pressure calculator uses Critical Pressure = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))*Stagnation Pressure to calculate the Critical Pressure, Critical Pressure formula is defined as the pressure at which a gas can flow through a nozzle at the speed of sound. It is essential in understanding compressible flow behavior in aerospace applications and the dynamics of sound waves. Critical Pressure is denoted by p_cr symbol.

How to calculate Critical Pressure using this online calculator? To use this online calculator for Critical Pressure, enter Specific Heat Ratio (γ) & Stagnation Pressure (P₀) and hit the calculate button. Here is how the Critical Pressure calculation can be explained with given input values -> 2.7E-5 = (2/(1.4+1))^(1.4/(1.4-1))*490332.5.

FAQ

What is Critical Pressure?

Critical Pressure formula is defined as the pressure at which a gas can flow through a nozzle at the speed of sound. It is essential in understanding compressible flow behavior in aerospace applications and the dynamics of sound waves and is represented as p_cr = (2/(γ+1))^(γ/(γ-1))*P₀ or Critical Pressure = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))*Stagnation Pressure. The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow & Stagnation Pressure at point in fluid flow is defined as the pressure that would exist if the flow were slowed down isentropically to zero velocity.

How to calculate Critical Pressure?

Critical Pressure formula is defined as the pressure at which a gas can flow through a nozzle at the speed of sound. It is essential in understanding compressible flow behavior in aerospace applications and the dynamics of sound waves is calculated using Critical Pressure = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))*Stagnation Pressure. To calculate Critical Pressure, you need Specific Heat Ratio (γ) & Stagnation Pressure (P₀). With our tool, you need to enter the respective value for Specific Heat Ratio & Stagnation 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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