Pressure Ratio Calculator

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✖Final Pressure is the pressure of a fluid or gas at the conclusion of a process or within a system.ⓘ Final Pressure [P_f]			+10% -10%
✖Initial Pressure refers to the pressure of a fluid or gas at the beginning of a process or within a system.ⓘ Initial Pressure [P_i]			+10% -10%

✖Pressure Ratio is ratio of final to initial pressure.ⓘ Pressure Ratio [P_R]

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Formula

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Pressure Ratio

Formula

`"P"_{"R"} = "P"_{"f"}/"P"_{"i"}`

Example

`"3.984615"="259Pa"/"65Pa"`

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Pressure Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio = Final Pressure/Initial Pressure
P_R = P_f/P_i
This formula uses 3 Variables

Variables Used

Pressure Ratio - Pressure Ratio is ratio of final to initial pressure.
Final Pressure - (Measured in Pascal) - Final Pressure is the pressure of a fluid or gas at the conclusion of a process or within a system.
Initial Pressure - (Measured in Pascal) - Initial Pressure refers to the pressure of a fluid or gas at the beginning of a process or within a system.

STEP 1: Convert Input(s) to Base Unit

Final Pressure: 259 Pascal --> 259 Pascal No Conversion Required
Initial Pressure: 65 Pascal --> 65 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_R = P_f/P_i --> 259/65

Evaluating ... ...

P_R = 3.98461538461538

STEP 3: Convert Result to Output's Unit

3.98461538461538 --> No Conversion Required

FINAL ANSWER

3.98461538461538 ≈ 3.984615 <-- Pressure Ratio

(Calculation completed in 00.004 seconds)

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Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

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Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2

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Go Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))

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Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

Stagnation Velocity of Sound given Specific Heat at Constant Pressure

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)

Specific Heat of mixed out gas

Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)

Stagnation Temperature

Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)

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Go Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)

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

Stagnation Velocity of Sound given Stagnation Enthalpy

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)

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Go Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume

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Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat

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Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature

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Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2

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Go Mach Number = Speed of Object/Speed of Sound

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Go Mach Angle = asin(1/Mach Number)

Pressure Ratio Formula

Pressure Ratio = Final Pressure/Initial Pressure
P_R = P_f/P_i

What is pressure ratio?

Pressure ratio is the ratio of final pressure after process to the initial pressure before process. It gives the degree with which gas is compressed.

How to Calculate Pressure Ratio?

Pressure Ratio calculator uses Pressure Ratio = Final Pressure/Initial Pressure to calculate the Pressure Ratio, The Pressure ratio formula is defined as the ratio of the final pressure after process to the initial pressure before process. Pressure Ratio is denoted by P_R symbol.

How to calculate Pressure Ratio using this online calculator? To use this online calculator for Pressure Ratio, enter Final Pressure (P_f) & Initial Pressure (P_i) and hit the calculate button. Here is how the Pressure Ratio calculation can be explained with given input values -> 3.984615 = 259/65.

FAQ

What is Pressure Ratio?

The Pressure ratio formula is defined as the ratio of the final pressure after process to the initial pressure before process and is represented as P_R = P_f/P_i or Pressure Ratio = Final Pressure/Initial Pressure. Final Pressure is the pressure of a fluid or gas at the conclusion of a process or within a system & Initial Pressure refers to the pressure of a fluid or gas at the beginning of a process or within a system.

How to calculate Pressure Ratio?

The Pressure ratio formula is defined as the ratio of the final pressure after process to the initial pressure before process is calculated using Pressure Ratio = Final Pressure/Initial Pressure. To calculate Pressure Ratio, you need Final Pressure (P_f) & Initial Pressure (P_i). With our tool, you need to enter the respective value for Final Pressure & Initial 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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