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Which of the equations governs the linearized incompressible flow over an airfoil at subsonic velocity using transformed coordinate system?(a) Laplace’s equation(b) Euler’s equation(c) Navier – Stokes equation(d) Cauchy’s equationThe question was asked in examination.This key question is from Linearized Subsonic Flow in division Linearized and Conical Flows of Aerodynamics

Answer»

The CORRECT answer is (a) Laplace’s equation

The explanation: The COMPRESSIBLE linearized perturbation velocity POTENTIAL equation is transformed into incompressible using a transformed COORDINATE system (ξ, η). The equation is GIVEN by

ϕξξ + ϕηη = 0

This is the Laplace equation representing the incompressible flow in a linearized form.



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