Critical Pressure Calculator

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✖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 a point in fluid flow is defined as the pressure that would exist if the flow were slowed down isentropically to zero velocity.ⓘ Stagnation Pressure at a point in fluid flow [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_*]

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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 at a point in fluid flow)
p_* = ((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 at a point in fluid flow - (Measured in Pascal) - Stagnation Pressure at a 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 at a point in fluid flow: 5.5 Atmosphere Technical --> 539365.75 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_* = ((2/(γ+1))^(γ/(γ-1)))*(P₀) --> ((2/(1.4+1))^(1.4/(1.4-1)))*(539365.75)

Evaluating ... ...

p_* = 284937.102643414

STEP 3: Convert Result to Output's Unit

284937.102643414 Pascal -->2.90554983244446 Atmosphere Technical (Check conversion here)

FINAL ANSWER

2.90554983244446 Atmosphere Technical <-- Critical Pressure

(Calculation completed in 00.012 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!

< 6 Basic Compressible Flow Calculators

Critical Pressure

Critical Pressure = ((2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)))*(Stagnation Pressure at a point in fluid flow) Go

Ratio of stagnation and static pressure

Stagnation to Static Pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1)) Go

Ratio of Stagnation and Static Density

Stagnation to Static Density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1)) Go

Critical Density

Critical density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1)) Go

Ratio of Stagnation and Static Temperature

Stagnation to Static Temperature = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) Go

Critical Temperature

Critical Temperature = (2/(Specific Heat Ratio+1))*(Stagnation Temperature) Go

< 6 Inviscid, Compressible Flow Calculators

Critical Pressure

Critical Pressure = ((2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)))*(Stagnation Pressure at a point in fluid flow) Go

Ratio of stagnation and static pressure

Stagnation to Static Pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1)) Go

Ratio of Stagnation and Static Density

Stagnation to Static Density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1)) Go

Critical Density

Critical density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1)) Go

Ratio of Stagnation and Static Temperature

Stagnation to Static Temperature = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) Go

Critical Temperature

Critical Temperature = (2/(Specific Heat Ratio+1))*(Stagnation Temperature) Go

Critical Pressure Formula

Critical Pressure = ((2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)))*(Stagnation Pressure at a point in fluid flow)
p_* = ((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 at a point in fluid flow) to calculate the Critical Pressure, The Critical Pressure at a point in a fluid flow is defined as the pressure that would exist if the flow becomes sonic at that point. Critical Pressure is denoted by p_* 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 at a point in fluid flow (P₀) and hit the calculate button. Here is how the Critical Pressure calculation can be explained with given input values -> 2.90555 = ((2/(1.4+1))^(1.4/(1.4-1)))*(539365.75).

FAQ

What is Critical Pressure?

The Critical Pressure at a point in a fluid flow is defined as the pressure that would exist if the flow becomes sonic at that point and is represented as p_* = ((2/(γ+1))^(γ/(γ-1)))*(P₀) or Critical Pressure = ((2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)))*(Stagnation Pressure at a point in fluid flow). 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 a 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?

The Critical Pressure at a point in a fluid flow is defined as the pressure that would exist if the flow becomes sonic at that point is calculated using Critical Pressure = ((2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)))*(Stagnation Pressure at a point in fluid flow). To calculate Critical Pressure, you need Specific Heat Ratio (γ) & Stagnation Pressure at a point in fluid flow (P₀). With our tool, you need to enter the respective value for Specific Heat Ratio & Stagnation Pressure at a point in fluid flow 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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