What is the relation according to the Newton’s theory for hypersonic problems?(a) Cp = 2sinθ(b) Cp = 2sin^2θ(c) Cp = cosθ(d) Cp = 2sinθcosθThe question was asked in a national level competition.This is a very interesting question from Time-Marching Technique topic in portion Time-Marching Technique of Aerodynamics

What is the relation according to the Newton’s theory for hypersonic

1.	What is the relation according to the Newton’s theory for hypersonic problems?(a) Cp = 2sinθ(b) Cp = 2sin^2θ(c) Cp = cosθ(d) Cp = 2sinθcosθThe question was asked in a national level competition.This is a very interesting question from Time-Marching Technique topic in portion Time-Marching Technique of Aerodynamics
Answer» CORRECT choice is (b) Cp = 2sin^2θ Easy explanation: By using the relation of oblique shock theory and applying the limits M∞ → ∞ because hypersonic flows theoretically range from Mach number = 5 to infinity and γ → 1, we get the result for Newtonian theory. It is given by: Cp = 2sin^2θ Where, θ is the LOCAL inclination ANGLE of the surface with respect to the free stream VELOCITY.

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