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Engineering, 23.11.2021 20:40 LHawk35531

For a two dimensional incompressible flow in a square domain 0 <= x <= 2Ï€ and 0 <=y <= 2Ï€ of u(x, y)= sin (x cos(y) and y and component of velocity v (x, 0) at the lower boundary y =0. Required:
a. Find the expression of v(x, y)
b. Find the stream function for this flow.
c. Does the potential function φ exist for this flow, show your proof.
d. Show that the velocity field is NOT a valid solution of Navier-Stoke equation.

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