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What is the coefficient of pressure at minimum pressure point a function of?(a) Critical Mach number(b) Freestream Mach number(c) Chord/thickness ratio of airfoil(d) Length of the airfoilI got this question in an online interview.This intriguing question comes from Critical Mach Number topic in section Linearized and Conical Flows of Aerodynamics

Answer»

Right option is (a) Critical Mach NUMBER

Easiest explanation: Coefficient of pressure at minimum pressure point which is present at the upper surface of the airfoil is given by the relation:

(Cp)crit = \(\FRAC {2}{γM_{crit}^{2}} \bigg [ \frac {1 + \frac {1}{2}(γ – 1)M_{crit}^{2}}{1 + \frac {1}{2}(γ – 1)} \bigg ]^{\frac {γ}{γ – 1}}\) – 1

In this the value of gamma is constant depending on the medium. The only varying quantity is critical Mach number. Thus, the coefficient of pressure at minimum pressure point is a FUNCTION of only critical Mach number.



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