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For two bodies with same shape but different scales, which of these parameters must be equal for the flow to be same in hypersonic regime?(a) Mach number(b) Product of Mach number and slenderness ratio(c) Tangential flow velocity(d) Normal flow velocityThe question was asked in examination.I want to ask this question from Hypersonic Similarity in chapter Transonic and Hypersonic Flows of Aerodynamics

Answer»

The correct answer is (b) Product of Mach number and slenderness ratio

The best explanation: The product of Mach number and slenderness ratio along with gamma are the two parameters which APPEAR in the non – dimensional EQUATIONS. For a body that has same shape but have different SCALE ratio, if these parameters are same, the flow over them at HYPERSONIC regime remain same. This is the physical meaning of the hypersonic similarity parameter.



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