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Oblique Shock Calculator

Attached oblique shock in a calorically perfect gas. Enter shock angle β, not wedge angle, to obtain deflection and downstream properties.

Attached oblique shock in a calorically perfect gas. Enter shock angle β, not wedge angle, to obtain deflection and downstream properties.

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Result

Enter your values and run the tool to see your result.

How to use this tool

Check the units, enter your values, and run the tool. Results follow the assumptions and method below.

Calculation method

Flow deflection angleatan(2/tan(beta*pi/180)*(mach^2*sin(beta*pi/180)^2-1)/(mach^2*(g+cos(2*beta*pi/180))+2))*180/pi
Downstream/upstream pressure ratio1+2*g/(g+1)*(mach^2*sin(beta*pi/180)^2-1)
Downstream/upstream density ratio(g+1)*(mach^2*sin(beta*pi/180)^2)/((g-1)*(mach^2*sin(beta*pi/180)^2)+2)
Downstream Mach numbersqrt((1+(g-1)/2*(mach^2*sin(beta*pi/180)^2))/(g*(mach^2*sin(beta*pi/180)^2)-(g-1)/2))/sin(beta*pi/180-(atan(2/tan(beta*pi/180)*(mach^2*sin(beta*pi/180)^2-1)/(mach^2*(g+cos(2*beta*pi/180))+2))))

References