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)

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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