Prandtl Meyer Expansion Calculator

Isentropic supersonic expansion of a calorically perfect gas; input both Mach numbers to calculate the turning angle.

Isentropic supersonic expansion of a calorically perfect gas; input both Mach numbers to calculate the turning angle.

Your workbenchInputs are not stored

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

Expansion turning angle(sqrt((g+1)/(g-1))*(atan(sqrt((g-1)/(g+1)*(m2^2-1)))-atan(sqrt((g-1)/(g+1)*(m1^2-1))))-atan(sqrt(m2^2-1))+atan(sqrt(m1^2-1)))*180/pi
Downstream/upstream temperature ratio(1+(g-1)*m1^2/2)/(1+(g-1)*m2^2/2)
Downstream/upstream pressure ratio((1+(g-1)*m1^2/2)/(1+(g-1)*m2^2/2))^(g/(g-1))

References