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Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number Formula

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Static Pressure Behind Oblique Shock signifies the pressure of a fluid or airflow after passing through an oblique shock wave. Check FAQs

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

P_b - Static Pressure Behind Oblique Shock?P_a - Static Pressure Ahead of Oblique Shock?γ_o - Specific Heat Ratio Oblique Shock?M_n1 - Upstream Mach Normal to Oblique Shock?

Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number Example

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Here is how the Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number equation looks like with Values.

Here is how the Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number equation looks like with Units.

Here is how the Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number equation looks like.

166.2829 = 58.5 \cdot (1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1))

166.2829Pa = 58.5Pa \cdot (1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1))

166.2829 = 58.5 \cdot (1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1))

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Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number Solution

Follow our step by step solution on how to calculate Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P b = 58.5Pa \cdot (1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1))

Next Step Prepare to Evaluate

∴

P b = 58.5 \cdot (1 + (\frac{2 \cdot 1.4}{1.4 + 1}) \cdot ({1.606}^{2} - 1))

Next Step Evaluate

∴

P b = 166.282857Pa

LAST Step Rounding Answer

∴

P b = 166.2829Pa

Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number Formula Elements

Variables

Static Pressure Behind Oblique Shock

Static Pressure Behind Oblique Shock signifies the pressure of a fluid or airflow after passing through an oblique shock wave.

Symbol: P_b

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Static Pressure Behind Oblique Shock

Static Pressure Ahead of Oblique Shock

Static Pressure Ahead of Oblique Shock represents the pressure of a fluid or airflow before encountering an oblique shock wave.

Symbol: P_a

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Static Pressure Ahead of 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 behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number?

Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number evaluator uses Static Pressure Behind Oblique Shock = Static Pressure Ahead of 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 Static Pressure Behind Oblique Shock, The Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number formula calculates the pressure of the fluid immediately behind an oblique shock wave, considering the upstream pressure and normal upstream Mach number. Static Pressure Behind Oblique Shock is denoted by P_b symbol.

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

FAQs on Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number

What is the formula to find Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number?

The formula of Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number is expressed as Static Pressure Behind Oblique Shock = Static Pressure Ahead of 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- 166.2829 = 58.5*(1+((2*1.4)/(1.4+1))*(1.606^2-1)).

How to calculate Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number?

With Static Pressure Ahead of Oblique Shock (P_a), Specific Heat Ratio Oblique Shock (γ_o) & Upstream Mach Normal to Oblique Shock (M_n1) we can find Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number using the formula - Static Pressure Behind Oblique Shock = Static Pressure Ahead of Oblique Shock*(1+((2*Specific Heat Ratio Oblique Shock)/(Specific Heat Ratio Oblique Shock+1))*(Upstream Mach Normal to Oblique Shock^2-1)).

Can the Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number be negative?

No, the Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number, measured in Pressure cannot be negative.

Which unit is used to measure Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number?

Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number can be measured.

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Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number Formula

Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number Example

Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number Solution

Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number Formula Elements

Other formulas in Oblique Shock category

How to Evaluate Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number?

FAQs on Pressure behind Oblique Shock for given Upstream Pressure and Normal Upstream Mach Number

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