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Pressure Ratio across Normal Shock Formula

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Pressure Ratio Across Normal Shock indicates the ratio of pressures before and after passing through a normal shock wave. Check FAQs

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

P_r - Pressure Ratio Across Normal Shock?γ - Specific Heat Ratio?M₁ - Mach Number Ahead of Normal Shock?

Pressure Ratio across Normal Shock Example

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Here is how the Pressure Ratio across Normal Shock equation looks like with Values.

Here is how the Pressure Ratio across Normal Shock equation looks like with Units.

Here is how the Pressure Ratio across Normal Shock equation looks like.

2.4234 = 1 + \frac{2 \cdot 1.4}{1.4 + 1} \cdot ({1.49}^{2} - 1)

2.4234 = 1 + \frac{2 \cdot 1.4}{1.4 + 1} \cdot ({1.49}^{2} - 1)

2.4234 = 1 + \frac{2 \cdot 1.4}{1.4 + 1} \cdot ({1.49}^{2} - 1)

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Pressure Ratio across Normal Shock Solution

Follow our step by step solution on how to calculate Pressure Ratio across Normal Shock?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P r = 2.42345

LAST Step Rounding Answer

∴

P r = 2.4234

Pressure Ratio across Normal Shock Formula Elements

Variables

Pressure Ratio Across Normal Shock

Pressure Ratio Across Normal Shock indicates the ratio of pressures before and after passing through a normal shock wave.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Pressure Ratio Across Normal Shock

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 Shock Strength

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

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 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 Pressure Ratio across Normal Shock?

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

FAQs on Pressure Ratio across Normal Shock

What is the formula to find Pressure Ratio across Normal Shock?

The formula of Pressure Ratio across Normal Shock is expressed as Pressure Ratio Across Normal Shock = 1+(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number Ahead of Normal Shock^2-1). Here is an example- 2.42345 = 1+(2*1.4)/(1.4+1)*(1.49^2-1).

How to calculate Pressure Ratio across Normal Shock?

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

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Pressure Ratio across Normal Shock Formula

Pressure Ratio across Normal Shock Example

Pressure Ratio across Normal Shock Solution

Pressure Ratio across Normal Shock Formula Elements

Other formulas in Property Change Across Shock Waves category

How to Evaluate Pressure Ratio across Normal Shock?

FAQs on Pressure Ratio across Normal Shock

Variable Name