Oblique Shock Wave Relations Calculator

When shock waves are inclined to direction of flow it is oblique shock wave. This is a calculator to find the relations of pressure, density, temperature and stagnation pressure in upstream and downstream.

Find Pressure, Density, Temperature Ratio

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When shock waves are inclined to direction of flow it is oblique shock wave. This is a calculator to find the relations of pressure, density, temperature and stagnation pressure in upstream and downstream.

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Formula:

Pressure Ratio P2 / P1 = 1 + ((2 * γ) / (γ + 1)) * (M12 * sin2β - 1) Where, P2 / P1 = Pressure Ratio of Oblique Shock Wave P2 = Downstream Pressure P1 = Upstream Pressure β = Oblique Shock Angle γ = Heat Capacity Ratio M1 = Mach Number of Upstream sin = Sine

Formula:

Density Ratio ρ2 / ρ1 = [(γ + 1) * M12 * sin2β] / [(γ + 1) * M12 * sin2β + 2] Where, ρ2 / ρ1 = Density Ratio of Oblique Shock Wave ρ2 = Downstream Density ρ1 = Upstream Ambient Density

Formula:

Temperature Ratio T2 / T1 = [((2 * γ) * (γ - 1)) / (γ+1)2] * [M12 * sin2β] Where, T2 / T1 = Temperature Ratio of Oblique Shock Wave T2 = Post Normal Temperature T1 = Upstream Ambient Temperature

Formula:

Stagnation Pressure Ratio Pt1 / Pt0 = [((γ + 1) * M12 * sin2β) / ((γ - 1) * M12 * sin2β + 2)](γ/(γ-1)) * [(γ + 1) / ((2 * γ) * M12 * sin2β - (γ - 1))](1/(γ-1) Where, Pt1 / Pt0 = Stagnation Pressure Ratio of Oblique Shock Wave Pt1 = Post Normal Total Pressure Pt0 = Upstream Ambient Total Pressure

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