Fluid Mechanics - Incompressible Flow

The velocity field of a two-dimensional, incompressible flow is given by V⃗ = 2 sinh x î + v(x, y) ĵ where î and ĵ denote the unit vectors in x and y directions, respectively. If v(x, 0) = cosh x, then v(0, -1) is

For a two-dimensional, incompressible flow having velocity components u and v in the x and y directions, respectively, the expression $\frac{\partial(u^2)}{\partial x} + \frac{\partial(uv)}{\partial y}$ can be simplified...

Consider the two-dimensional velocity field given by $\vec{V} = (5 + a_1x + b_1y)\hat{i} + (4 + a_2x + b_2y)\hat{j}$, where $a_1, b_1, a_2$ and $b_2$ are constants. Which one of the following conditions needs to be satis...