Question Statement:
Consider steady, two-dimensional, incompressible flow over a non-porous flat plate as shown in the figure. For the control volume $PQRS$, the speed, $u_\infty$, at section $PQ$ is uniform and the speed at section $RS$ is given by $u(y) = A_0 \left(\frac{y}{h}\right)^n$, where $n$ is a positive integer. The value of $A_0$ for which the flow through section $PS$ will vanish is:
Scientific schematic diagram reproduced from official IIT paper
Options:
- (A) $\frac{u_\infty}{n + 1}$
- (B) $u_\infty (n + 1)$
- (C) $\frac{u_\infty}{n - 1}$
- (D) $u_\infty (n - 1)$