Shock Strength of Moving Object Calculator

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✖The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Heat Capacity Ratio [γ]			+10% -10%
✖Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M_r]			+10% -10%

✖Shock Strength is mathematically the difference in pressure across a normal shockwave to the pressure ahead of a shockwave.ⓘ Shock Strength of Moving Object [Δpp1_ratio]

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Shock Strength of Moving Object Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shock Strength = (2*Heat Capacity Ratio)/((Heat Capacity Ratio+1)*(Mach Number^2-1))
Δpp1_ratio = (2*γ)/((γ+1)*(M_r^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.
Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Mach Number - Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Heat Capacity Ratio: 1.41 --> No Conversion Required
Mach Number: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δpp1_ratio = (2*γ)/((γ+1)*(M_r^2-1)) --> (2*1.41)/((1.41+1)*(1.4^2-1))

Evaluating ... ...

Δpp1_ratio = 1.21887966804979

STEP 3: Convert Result to Output's Unit

1.21887966804979 --> No Conversion Required

FINAL ANSWER

1.21887966804979 ≈ 1.21888 <-- Shock Strength

(Calculation completed in 00.004 seconds)

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Created by Abhinav Gupta

Defence institute of advanced technology (DRDO) (DIAT), pune

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Shock Strength of Moving Object Formula

LaTeX Go

Shock Strength = (2*Heat Capacity Ratio)/((Heat Capacity Ratio+1)*(Mach Number^2-1))
Δpp1_ratio = (2*γ)/((γ+1)*(M_r^2-1))

Does shock strength increase with Mach number?

The downstream value 'Ma' of the Mach number increases with increasing shock strength. Shock is only slightly weaker than the shock of maximum possible strength having a sonic downstream state.

How do you measure shock strength?

Shocks are usually measured by accelerometers but other transducers and high-speed imaging are also used. A wide variety of laboratory instrumentation is available; stand-alone shock data loggers are also used.

How to Calculate Shock Strength of Moving Object?

Shock Strength of Moving Object calculator uses Shock Strength = (2*Heat Capacity Ratio)/((Heat Capacity Ratio+1)*(Mach Number^2-1)) to calculate the Shock Strength, The shock strength of moving object is the ratio of static pressure across the shock to the inlet static pressure. The strength of normal shock in a perfect gas depends only on the Mach number. Shock Strength is denoted by Δpp1_ratio symbol.

How to calculate Shock Strength of Moving Object using this online calculator? To use this online calculator for Shock Strength of Moving Object, enter Heat Capacity Ratio (γ) & Mach Number (M_r) and hit the calculate button. Here is how the Shock Strength of Moving Object calculation can be explained with given input values -> 1.21888 = (2*1.41)/((1.41+1)*(1.4^2-1)).

FAQ

What is Shock Strength of Moving Object?

The shock strength of moving object is the ratio of static pressure across the shock to the inlet static pressure. The strength of normal shock in a perfect gas depends only on the Mach number and is represented as Δpp1_ratio = (2*γ)/((γ+1)*(M_r^2-1)) or Shock Strength = (2*Heat Capacity Ratio)/((Heat Capacity Ratio+1)*(Mach Number^2-1)). The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Shock Strength of Moving Object?

The shock strength of moving object is the ratio of static pressure across the shock to the inlet static pressure. The strength of normal shock in a perfect gas depends only on the Mach number is calculated using Shock Strength = (2*Heat Capacity Ratio)/((Heat Capacity Ratio+1)*(Mach Number^2-1)). To calculate Shock Strength of Moving Object, you need Heat Capacity Ratio (γ) & Mach Number (M_r). With our tool, you need to enter the respective value for Heat Capacity Ratio & Mach Number 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 Shock Strength?

In this formula, Shock Strength uses Heat Capacity Ratio & Mach Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shock Strength = (Initial Pressure of System-Final Pressure of System)/Final Pressure of System

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