Question

Which of these equations is Newton’s sine – squared law?

(a) Cp = 2sin^2 θ

(b) Cp = sin^2 θ

(c) Cp = \( \frac {sin^2 θ}{2}\)

(d) Cp = \( \frac {sin^2 θ}{4}\)

The question was asked by my college director while I was bunking the class.

My question comes from Newtonian Theory in division Numerical Techniques for Nonlinear Supersonic Flow, Elements of Hypersonic Flow, Couette and Poiseuille Flow of Aerodynamics

Answer 1

Correct option is (a) Cp = 2sin^2 θ

Explanation: According to Newton’s sine – squared law, the pressure coefficient over the surface is proportional to the sine square of the angle between the tangent to the surface and freestream velocity (θ). It is given by:

Cp = 2sin^2 θ