Shock Strength Calculator

⤿

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

Two-Dimensional Incompressible Flow

⤿

Normal Shock Wave

Governing Equations and Sound Wave

Oblique Shock and Expansion Waves

⤿

Property Change Across Shock Waves

Downstream Shock Waves

Normal Shock Relations

Upstream Shock Waves

✖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%

✖Shock Strength is mathematically the difference in pressure across a normal shockwave to the pressure ahead of a shockwave.ⓘ Shock Strength [Δp_str]

⎘ Copy

👎

Formula

✖

Shock Strength

Formula

`"Δp"_{"str"} = ((2*"γ")/(1+"γ"))*("M"_{"1"}^2-1)`

Example

`"1.42345"=((2*"1.4")/(1+"1.4"))*(("1.49")^2-1)`

Calculator

LaTeX

Reset

👍

Download Normal Shock Wave Formulas PDF PDF Image

Shock Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Shock Strength - Shock Strength is mathematically the difference in pressure across a normal shockwave to the pressure ahead of a shockwave.
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

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

Evaluating ... ...

Δp_str = 1.42345

STEP 3: Convert Result to Output's Unit

1.42345 --> No Conversion Required

FINAL ANSWER

1.42345 <-- Shock Strength

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aerodynamics » Compressible Flow » Normal Shock Wave » Property Change Across Shock Waves » Shock Strength

Credits

Created by Vinay Mishra

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

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< 6 Property Change Across Shock Waves Calculators

Static Enthalpy Ratio across Normal Shock

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

Temperature Ratio across Normal Shock

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

Density Ratio across Normal Shock

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

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

Pressure Ratio across Normal Shock

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

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

Shock Strength Formula

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

What are shock waves?

Shock waves are very small regions in the gas where the gas properties change by a large amount. Across a shock wave, the static pressure, temperature, and gas density increases almost instantaneously.

How to Calculate Shock Strength?

Shock Strength calculator uses Shock Strength = ((2*Specific Heat Ratio)/(1+Specific Heat Ratio))*(Mach Number Ahead of Normal Shock^2-1) to calculate the Shock Strength, The Shock Strength calculates the strength of a normal shock wave in a fluid flow. This formula incorporates the ratio of specific heats for the fluid and the Mach number ahead of the shock to determine the shock strength. It provides insight into the intensity of the shock wave, aiding in the analysis of compressible flow behavior and its impact on fluid dynamics. Shock Strength is denoted by Δp_str symbol.

How to calculate Shock Strength using this online calculator? To use this online calculator for Shock Strength, enter Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁) and hit the calculate button. Here is how the Shock Strength calculation can be explained with given input values -> 1.42345 = ((2*1.4)/(1+1.4))*(1.49^2-1).

FAQ

What is Shock Strength?

The Shock Strength calculates the strength of a normal shock wave in a fluid flow. This formula incorporates the ratio of specific heats for the fluid and the Mach number ahead of the shock to determine the shock strength. It provides insight into the intensity of the shock wave, aiding in the analysis of compressible flow behavior and its impact on fluid dynamics and is represented as Δp_str = ((2*γ)/(1+γ))*(M₁^2-1) or Shock Strength = ((2*Specific Heat Ratio)/(1+Specific Heat Ratio))*(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 Shock Strength?

The Shock Strength calculates the strength of a normal shock wave in a fluid flow. This formula incorporates the ratio of specific heats for the fluid and the Mach number ahead of the shock to determine the shock strength. It provides insight into the intensity of the shock wave, aiding in the analysis of compressible flow behavior and its impact on fluid dynamics is calculated using Shock Strength = ((2*Specific Heat Ratio)/(1+Specific Heat Ratio))*(Mach Number Ahead of Normal Shock^2-1). To calculate Shock Strength, 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.

Home

FREE PDFs

🔍 Search