Consider a flow with Mach number 0.65 past a thin two-dimensional airfoil. a) Ca

Question

Consider a flow with Mach number 0.65 past a thin two-dimensional airfoil. a) Can this flow be considered as a potential flow? Give definition of a potential flow and justify your answer. b) Can the flow be described by a single linear partial differential equation? If yes, write the equation and explain, briefly, on what main assumption it is based. c) How would the answer to (b) change if the Mach number where 2.5 or 0.95? If in any of these cases, a linear PDE is impossible, write the simplest possible equation.

Explanation / Answer

Mach number more than 0.3 can be considered as potential flows. As in our case mach number is 0.65 (i.e. greater than 0.3) this flow is potential flow.In fluid dynamics, a potential flow is described by means of a velocitypotential ?, being a function of space and time. The flow velocity v is a vector field equal to the gradient, ?, of the velocity potential ?

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