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Linearized velocity potential equation is applicable to hypersonic flow.(a) True(b) FalseI got this question in homework.I'd like to ask this question from Linearized Velocity Potential Equation topic in portion Linearized and Conical Flows of Aerodynamics

Answer»

The correct choice is (B) False

The best I can explain: Linearized velocity potential equation is not applicable for hypersonic flows with Mach number greater than 5 as in the non – linear velocity potential equation, there is an assumption made that the magnitude of M\(_∞^2 \big [ \)(γ – 1) \(\frac {u^{‘}}{V_∞} + (\frac {γ + 1}{2}) \frac {u^{‘^2}}{V_{∞}^{2}} + (\frac {γ – 1}{2})(\frac {W^{‘{^2}} + u^{‘^{2}}}{V_∞^2}) \big ] \frac {∂V^{‘}}{∂x}\) is small compared to the left HAND side THUS is neglected to arrive at the linearized velocity potential equation.



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