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

Using Cartesian coordinates, show that each velocity component (u, v, w) of a potential flow satisfies Laplaces

Question:

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.