a) Define the following: i) Path line ii) Stream line iii) Streak lin…

Question

a) Define the following:

i) Path line

ii) Stream line

iii) Streak line

iv) Rotational and Irrotational flow. (10)

b) The velocity components for the 2-dimensional flow of an incompressible fluid are stated as $u = \frac{y^3}{3} + 2x - x^2y$

$v = xy^2 - 2y - \frac{x^3}{3}$

Obtain an expression for stream function $\psi$. (10)