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Pressure Ratio across Oblique Shock Formula

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Pressure Ratio Across Oblique Shock indicates the ratio of pressures before and after passing through an oblique shock wave. Check FAQs

P r = 1 + (\frac{2 \cdot γ o}{γ o + 1}) \cdot ({M n1}^{2} - 1)

P_r - Pressure Ratio Across Oblique Shock?γ_o - Specific Heat Ratio Oblique Shock?M_n1 - Upstream Mach Normal to Oblique Shock?

Pressure Ratio across Oblique Shock Example

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

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

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

2.8424 = 1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1)

2.8424 = 1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1)

2.8424 = 1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1)

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Pressure Ratio across Oblique Shock Solution

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

FIRST Step Consider the formula

P r = 1 + (\frac{2 \cdot γ o}{γ o + 1}) \cdot ({M n1}^{2} - 1)

Next Step Substitute values of Variables

∴

P r = 1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1)

Next Step Prepare to Evaluate

∴

P r = 1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1)

Next Step Evaluate

∴

P r = 2.842442

LAST Step Rounding Answer

∴

P r = 2.8424

Pressure Ratio across Oblique Shock Formula Elements

Variables

Pressure Ratio Across Oblique Shock

Pressure Ratio Across Oblique Shock indicates the ratio of pressures before and after passing through an oblique shock wave.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Pressure Ratio Across Oblique Shock

Specific Heat Ratio Oblique Shock

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

Symbol: γ_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Specific Heat Ratio Oblique Shock

Upstream Mach Normal to Oblique Shock

Upstream Mach Normal to Oblique Shock represents the Mach number's component aligned with the shock wave's normal direction.

Symbol: M_n1

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Upstream Mach Normal to Oblique Shock

Other formulas in Oblique Shock category

Go Component of Upstream Mach Normal to Oblique Shock

M n1 = M 1 \cdot \sin (β)

Go Component of Downstream Mach Normal to Oblique Shock

M n2 = M 2 \cdot \sin (β - θ)

Go Flow Deflection Angle due to Oblique Shock

θ = a \tan (\frac{2 \cdot \cot (β) \cdot ({(M 1 \cdot \sin (β))}^{2} - 1)}{{M 1}^{2} \cdot (γ o + \cos (2 \cdot β)) + 2})

Go Density Ratio across Oblique Shock

ρ r = (γ o + 1) \cdot \frac{{M n1}^{2}}{2 + (γ o - 1) \cdot {M n1}^{2}}

How to Evaluate Pressure Ratio across Oblique Shock?

Pressure Ratio across Oblique Shock evaluator uses Pressure Ratio Across Oblique Shock = 1+((2*Specific Heat Ratio Oblique Shock)/(Specific Heat Ratio Oblique Shock+1))*(Upstream Mach Normal to Oblique Shock^2-1) to evaluate the Pressure Ratio Across Oblique Shock, Pressure Ratio across Oblique Shock formula is defined as the relationship between the pressure directly behind the shock wave and the pressure just ahead of it. It characterizes the alteration in pressure experienced by the flow as it encounters the shock wave.it is obtained by substituting the normal component of upstream Mach no. in the pressure ratio formula for the normal shock. Pressure Ratio Across Oblique Shock is denoted by P_r symbol.

How to evaluate Pressure Ratio across Oblique Shock using this online evaluator? To use this online evaluator for Pressure Ratio across Oblique Shock, enter Specific Heat Ratio Oblique Shock (γ_o) & Upstream Mach Normal to Oblique Shock (M_n1) and hit the calculate button.

FAQs on Pressure Ratio across Oblique Shock

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

The formula of Pressure Ratio across Oblique Shock is expressed as Pressure Ratio Across Oblique Shock = 1+((2*Specific Heat Ratio Oblique Shock)/(Specific Heat Ratio Oblique Shock+1))*(Upstream Mach Normal to Oblique Shock^2-1). Here is an example- 2.842442 = 1+((2*1.4)/(1.4+1))*(1.606^2-1).

How to calculate Pressure Ratio across Oblique Shock?

With Specific Heat Ratio Oblique Shock (γ_o) & Upstream Mach Normal to Oblique Shock (M_n1) we can find Pressure Ratio across Oblique Shock using the formula - Pressure Ratio Across Oblique Shock = 1+((2*Specific Heat Ratio Oblique Shock)/(Specific Heat Ratio Oblique Shock+1))*(Upstream Mach Normal to Oblique Shock^2-1).

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Pressure Ratio across Oblique Shock Formula

Pressure Ratio across Oblique Shock Example

Pressure Ratio across Oblique Shock Solution

Pressure Ratio across Oblique Shock Formula Elements

Other formulas in Oblique Shock category

How to Evaluate Pressure Ratio across Oblique Shock?

FAQs on Pressure Ratio across Oblique Shock

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