Supersonic Oblique Shock (θ-β-M) Calculator

Solve the compressible flow oblique shock θ-β-M relation, downstream Mach number (M2), static and stagnation pressure ratios, and shock detachment limits.

Upstream Mach & Deflection Angle

Upstream Mach Number M1:

Wedge Deflection Angle θ (deg):

Ratio of Specific Heats γ:

Shock Solution Branch:

Oblique Shock Properties & State 2

Shock Wave Angle (β):

—

Mn1 = —

Downstream Mach Number (M2):

—

Mn2 = —

Static Pressure Ratio (P2 / P1):

—

Total Pressure Recovery (P02 / P01):

—

Maximum Deflection Angle (θ_max):

—

Shock Attachment Status:

—

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Supersonic Oblique Shock (θ-β-M) Calculator

Upstream Mach & Deflection Angle

Oblique Shock Properties & State 2

Frequently Asked Questions