Question

The velocity field in an incompressible flow is $\mathbf{v} = axy\hat{i} + v_y\hat{j} + \beta\hat{k}$, where $\hat{i}$, $\hat{j}$, and $\hat{k}$ are unit vectors in the $(x, y, z)$ Cartesian coordinate system. Given that $a$ and $\beta$ are constants, and $v_y = 0$ at $y = 0$, the correct expression for $v_y$ is:

• A. $-\frac{axy}{2}$
• B. $-\frac{ay^2}{2}$
• C. $\frac{ay^2}{2}$
• D. $\frac{axy}{2}$

Answer 1

Answer: (B)

$-\frac{ay^2}{2}$

Answer 2

The correct option is (B) :$-\frac{ay^2}{2}$