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.ⓘ Specific heat ratio [κ]			+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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Credits

Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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

Vinay Mishra

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

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

Critical Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

sonic_pressure = (2/(Specific heat ratio+1))^(Specific heat ratio/(Specific heat ratio-1))*(Stagnation pressure at a point in fluid flow)
p* = (2/(κ+1))^(κ/(κ-1))*(P₀)
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.
Stagnation pressure at a point in fluid 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 (Measured in Atmosphere Technical)

STEP 1: Convert Input(s) to Base Unit

Specific heat ratio: 1.392758 --> No Conversion Required
Stagnation pressure at a point in fluid flow: 2 Atmosphere Technical --> 196133 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p* = (2/(κ+1))^(κ/(κ-1))*(P₀) --> (2/(1.392758+1))^(1.392758/(1.392758-1))*(196133)

Evaluating ... ...

p* = 103853.326710309

STEP 3: Convert Result to Output's Unit

103853.326710309 Pascal -->1.05900921018196 Atmosphere Technical (Check conversion here)

FINAL ANSWER

1.05900921018196 Atmosphere Technical <-- Critical Pressure

(Calculation completed in 00.006 seconds)

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< 6 Basic Compressible Flow Calculators

Critical Pressure

sonic_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

sonic_density = Stagnation density*(2/(Specific heat ratio+1))^(1/(Specific heat ratio-1)) Go

Ratio of Stagnation and Static Temperature

stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) Go

Critical Temperature

sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature) Go

Critical Pressure Formula

sonic_pressure = (2/(Specific heat ratio+1))^(Specific heat ratio/(Specific heat ratio-1))*(Stagnation pressure at a point in fluid flow)
p* = (2/(κ+1))^(κ/(κ-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 sonic_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 and 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 (κ) and 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 -> 1.059009 = (2/(1.392758+1))^(1.392758/(1.392758-1))*(196133).

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/(κ+1))^(κ/(κ-1))*(P₀) or sonic_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 and 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 sonic_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 (κ) and Stagnation pressure at a point in fluid flow (P₀). With our tool, you need to enter the respective value for Specific heat ratio and 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.

How many ways are there to calculate Critical Pressure?

In this formula, Critical Pressure uses Specific heat ratio and Stagnation pressure at a point in fluid flow. We can use 6 other way(s) to calculate the same, which is/are as follows -

stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))
stagnation_to_static_density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1))
stagnation_to_static_pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1))
sonic_density = Stagnation density*(2/(Specific heat ratio+1))^(1/(Specific heat ratio-1))
sonic_pressure = (2/(Specific heat ratio+1))^(Specific heat ratio/(Specific heat ratio-1))*(Stagnation pressure at a point in fluid flow)
sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature)

Where is the Critical Pressure calculator used?

Among many, Critical Pressure calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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