Exit Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Exit pressure = Inlet Pressure*(((1+(Specific Heat Ratio Dynamic-1)/2*Mach Number^2))^-((Specific Heat Ratio Dynamic)/(Specific Heat Ratio Dynamic-1)))
Pa = Pinlet*(((1+(κ-1)/2*M^2))^-((κ)/(κ-1)))
This formula uses 4 Variables
Variables Used
Exit pressure - (Measured in Pascal) - Exit pressure is the pressure at the exit or the output or the end of a pipe or a flow channel.
Inlet Pressure - (Measured in Pascal) - The Inlet Pressure is the amount of pressure generated inside the combustion chamber of a rocket.
Specific Heat Ratio Dynamic - The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
STEP 1: Convert Input(s) to Base Unit
Inlet Pressure: 20 Megapascal --> 20000000 Pascal (Check conversion here)
Specific Heat Ratio Dynamic: 1.392758 --> No Conversion Required
Mach Number: 5.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pa = Pinlet*(((1+(κ-1)/2*M^2))^-((κ)/(κ-1))) --> 20000000*(((1+(1.392758-1)/2*5.5^2))^-((1.392758)/(1.392758-1)))
Evaluating ... ...
Pa = 20767.5133745358
STEP 3: Convert Result to Output's Unit
20767.5133745358 Pascal -->0.0207675133745358 Megapascal (Check conversion here)
FINAL ANSWER
0.0207675133745358 Megapascal <-- Exit pressure
(Calculation completed in 00.013 seconds)

Credits

Created by Shreyash
Rajiv Gandhi Institute of Technology (RGIT), Mumbai
Shreyash has created this Calculator and 0 more calculators!
Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
Kartikay Pandit has verified this Calculator and 2 more calculators!

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Exit Pressure Formula

Exit pressure = Inlet Pressure*(((1+(Specific Heat Ratio Dynamic-1)/2*Mach Number^2))^-((Specific Heat Ratio Dynamic)/(Specific Heat Ratio Dynamic-1)))
Pa = Pinlet*(((1+(κ-1)/2*M^2))^-((κ)/(κ-1)))

What is exit pressure?

The pressure generated at the exit of the nozzle is called as eit pressure. When exhaust gases flow from combustion chamber to the nozzle, the airflow changes depending upon the size and shape of the nozzle, thus bringing a change in the outlet pressure. It relates to the total pressure available in the combustion chamber and the Mach number.

How to Calculate Exit Pressure?

Exit Pressure calculator uses Exit pressure = Inlet Pressure*(((1+(Specific Heat Ratio Dynamic-1)/2*Mach Number^2))^-((Specific Heat Ratio Dynamic)/(Specific Heat Ratio Dynamic-1))) to calculate the Exit pressure, The Exit Pressure formula defines the exit pressure at an exhaust given that we know the total pressure and the Mach number. Exit pressure is denoted by Pa symbol.

How to calculate Exit Pressure using this online calculator? To use this online calculator for Exit Pressure, enter Inlet Pressure (Pinlet), Specific Heat Ratio Dynamic (κ) & Mach Number (M) and hit the calculate button. Here is how the Exit Pressure calculation can be explained with given input values -> 0.020768 = 20000000*(((1+(1.392758-1)/2*5.5^2))^-((1.392758)/(1.392758-1))).

FAQ

What is Exit Pressure?
The Exit Pressure formula defines the exit pressure at an exhaust given that we know the total pressure and the Mach number and is represented as Pa = Pinlet*(((1+(κ-1)/2*M^2))^-((κ)/(κ-1))) or Exit pressure = Inlet Pressure*(((1+(Specific Heat Ratio Dynamic-1)/2*Mach Number^2))^-((Specific Heat Ratio Dynamic)/(Specific Heat Ratio Dynamic-1))). The Inlet Pressure is the amount of pressure generated inside the combustion chamber of a rocket, The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
How to calculate Exit Pressure?
The Exit Pressure formula defines the exit pressure at an exhaust given that we know the total pressure and the Mach number is calculated using Exit pressure = Inlet Pressure*(((1+(Specific Heat Ratio Dynamic-1)/2*Mach Number^2))^-((Specific Heat Ratio Dynamic)/(Specific Heat Ratio Dynamic-1))). To calculate Exit Pressure, you need Inlet Pressure (Pinlet), Specific Heat Ratio Dynamic (κ) & Mach Number (M). With our tool, you need to enter the respective value for Inlet Pressure, Specific Heat Ratio Dynamic & Mach Number 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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