Pressure Ratio across Normal Shock Calculator

✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.ⓘ Mach Number Ahead of Normal Shock [M₁]			+10% -10%

✖Pressure Ratio Across Normal Shock indicates the ratio of pressures before and after passing through a normal shock wave.ⓘ Pressure Ratio across Normal Shock [P_r]

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Pressure Ratio across Normal Shock Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio Across Normal Shock = 1+(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2-1)
P_r = 1+(2*γ)/(γ+1)*(M₁^2-1)
This formula uses 3 Variables

Variables Used

Pressure Ratio Across Normal Shock - Pressure Ratio Across Normal Shock indicates the ratio of pressures before and after passing through a normal shock wave.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Mach Number Ahead of Normal Shock - Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Mach Number Ahead of Normal Shock: 1.49 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = 1+(2*γ)/(γ+1)*(M₁^2-1) --> 1+(2*1.4)/(1.4+1)*(1.49^2-1)

Evaluating ... ...

P_r = 2.42345

STEP 3: Convert Result to Output's Unit

2.42345 --> No Conversion Required

FINAL ANSWER

2.42345 <-- Pressure Ratio Across Normal Shock

(Calculation completed in 00.005 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!

< Property Change Across Shock Waves Calculators

Density Ratio across Normal Shock

LaTeX Go Density Ratio Across Normal Shock = (Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2)/(2+(Specific Heat Ratio-1)*Mach Number Ahead of Normal Shock^2)

Entropy Change across Normal Shock

LaTeX Go Entropy Change = Specific Gas Constant*ln(Stagnation Pressure Ahead of Normal Shock/Stagnation Pressure Behind Normal Shock)

Pressure Ratio across Normal Shock

LaTeX Go Pressure Ratio Across Normal Shock = 1+(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2-1)

Shock Strength

LaTeX Go Shock Strength = ((2*Specific Heat Ratio)/(1+Specific Heat Ratio))*(Mach Number Ahead of Normal Shock^2-1)

Pressure Ratio across Normal Shock Formula

LaTeX Go

Pressure Ratio Across Normal Shock = 1+(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2-1)
P_r = 1+(2*γ)/(γ+1)*(M₁^2-1)

How to obtain pressure ratio across normal shock?

Pressure ratio across normal shock is obtained by rearranging the momentum equation and applying the continuity equation and density ratio formula. It is also a function of specific heat ratio and upstream Mach number.

How to Calculate Pressure Ratio across Normal Shock?

Pressure Ratio across Normal Shock calculator uses Pressure Ratio Across Normal Shock = 1+(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2-1) to calculate the Pressure Ratio Across Normal Shock, Pressure Ratio across Normal Shock formula is defined as the ratio of downstream to upstream pressure across a normal shock. It is a function of specific heat ratio and upstream Mach number. Pressure Ratio Across Normal Shock is denoted by P_r symbol.

How to calculate Pressure Ratio across Normal Shock using this online calculator? To use this online calculator for Pressure Ratio across Normal Shock, enter Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁) and hit the calculate button. Here is how the Pressure Ratio across Normal Shock calculation can be explained with given input values -> 2.42345 = 1+(2*1.4)/(1.4+1)*(1.49^2-1).

FAQ

What is Pressure Ratio across Normal Shock?

Pressure Ratio across Normal Shock formula is defined as the ratio of downstream to upstream pressure across a normal shock. It is a function of specific heat ratio and upstream Mach number and is represented as P_r = 1+(2*γ)/(γ+1)*(M₁^2-1) or Pressure Ratio Across Normal Shock = 1+(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2-1). The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.

How to calculate Pressure Ratio across Normal Shock?

Pressure Ratio across Normal Shock formula is defined as the ratio of downstream to upstream pressure across a normal shock. It is a function of specific heat ratio and upstream Mach number is calculated using Pressure Ratio Across Normal Shock = 1+(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2-1). To calculate Pressure Ratio across Normal Shock, you need Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁). With our tool, you need to enter the respective value for Specific Heat Ratio & Mach Number Ahead of Normal Shock 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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