a$)$ How do you test for given function $$ whether the flow is rotational

or irrotational?

b$)$ A half Rankine body formed as shown below. A source located at

origin and is subjected to a uniform flow of $7\frac{m}{s}$ in the $x-$direction.

Determine:

i$.$ The strength of the source $Q.$

ii$.$ The distance of stagnation point from origin, $b.$

iii. The width of half Rankine body, $h.$

iv$.$ The resultant velocity at point $A.$

v$.$ If the velocity of uniform flow increase, what will happen to the

dimension of $b$ and $h.$