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Shock Strength Formula

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

Δp str = (\frac{2 \cdot γ}{1 + γ}) \cdot ({M 1}^{2} - 1)

Δp_str - Shock Strength?γ - Specific Heat Ratio?M₁ - Mach Number Ahead of Normal Shock?

Shock Strength Example

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Here is how the Shock Strength equation looks like with Values.

Here is how the Shock Strength equation looks like with Units.

Here is how the Shock Strength equation looks like.

1.4235 = (\frac{2 \cdot 1.4}{1 + 1.4}) \cdot ({1.49}^{2} - 1)

1.4235 = (\frac{2 \cdot 1.4}{1 + 1.4}) \cdot ({1.49}^{2} - 1)

1.4235 = (\frac{2 \cdot 1.4}{1 + 1.4}) \cdot ({1.49}^{2} - 1)

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Shock Strength Solution

Follow our step by step solution on how to calculate Shock Strength?

FIRST Step Consider the formula

Δp str = (\frac{2 \cdot γ}{1 + γ}) \cdot ({M 1}^{2} - 1)

Next Step Substitute values of Variables

∴

Δp str = (\frac{2 \cdot 1.4}{1 + 1.4}) \cdot ({1.49}^{2} - 1)

Next Step Prepare to Evaluate

∴

Δp str = (\frac{2 \cdot 1.4}{1 + 1.4}) \cdot ({1.49}^{2} - 1)

Next Step Evaluate

∴

Δp str = 1.42345

LAST Step Rounding Answer

∴

Δp str = 1.4235

Shock Strength Formula Elements

Variables

Shock Strength

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

Symbol: Δp_str

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shock Strength

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be between 1 to 2.

Formulas to find Specific Heat Ratio

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.

Symbol: M₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number Ahead of Normal Shock

Other formulas in Property Change Across Shock Waves category

Go Entropy Change across Normal Shock

ΔS = R \cdot \ln (\frac{p 01}{p 02})

Go Density Ratio across Normal Shock

ρ r = (γ + 1) \cdot \frac{{M 1}^{2}}{2 + (γ - 1) \cdot {M 1}^{2}}

Go Pressure Ratio across Normal Shock

P r = 1 + \frac{2 \cdot γ}{γ + 1} \cdot ({M 1}^{2} - 1)

Go Temperature Ratio across Normal Shock

T r = \frac{1 + (\frac{2 \cdot γ}{γ + 1}) \cdot ({M 1}^{2} - 1)}{(γ + 1) \cdot \frac{{M 1}^{2}}{2 + ((γ - 1) \cdot {M 1}^{2})}}

How to Evaluate Shock Strength?

Shock Strength evaluator uses Shock Strength = ((2*Specific Heat Ratio)/(1+Specific Heat Ratio))*(Mach Number Ahead of Normal Shock^2-1) to evaluate 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 evaluate Shock Strength using this online evaluator? To use this online evaluator for Shock Strength, enter Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁) and hit the calculate button.

FAQs on Shock Strength

What is the formula to find Shock Strength?

The formula of Shock Strength is expressed as Shock Strength = ((2*Specific Heat Ratio)/(1+Specific Heat Ratio))*(Mach Number Ahead of Normal Shock^2-1). Here is an example- 1.42345 = ((2*1.4)/(1+1.4))*(1.49^2-1).

How to calculate Shock Strength?

With Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁) we can find Shock Strength using the formula - Shock Strength = ((2*Specific Heat Ratio)/(1+Specific Heat Ratio))*(Mach Number Ahead of Normal Shock^2-1).

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Shock Strength Formula

Shock Strength Example

Shock Strength Solution

Shock Strength Formula Elements

Other formulas in Property Change Across Shock Waves category

How to Evaluate Shock Strength?

FAQs on Shock Strength

Variable Name