Question: Using Cartesian coordinates, show that each velocity component (u, v, w) of a potential flow satisfies Laplaces equation separately if 2 = 0. Solution: This

Using Cartesian coordinates, show that each velocity component (u, v, w) of a potential flow satisfies Laplace’s equation separately if 2φ = 0. Solution: This is true because the order of integration may be changed in each case: Using Cartesian coordinates, show that each velocity component (u, v, w) of a potential flow satisfies Laplace’s equation separately if 2φ = 0.

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