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For an airfoil kept at supersonic flow, how does the coefficient of pressure vary with an increase in Mach number?

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For an airfoil kept at supersonic flow, how does the coefficient of pressure vary with an increase in Mach number?

(a) Increases

(b) Decreases

(c) Remains same

(d) First increases, then decreases

The question was asked during an internship interview.

The doubt is from Linearized Supersonic Flow in portion Linearized and Conical Flows of Aerodynamics

1 Answer

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Correct answer is (b) Decreases

Explanation: Based on the linearized coefficient of pressure derived for supersonic flow over an airfoil, the coefficient of pressure is inversely proportional to \(\sqrt {M_∞^2 – 1}\). Thus, with an increase in Mach number, the pressure coefficient decreases.

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