fluid flow

Consider a unidirectional fluid flow with the velocity field given by V(x, y, z, t) = u(x, t) î where u(0, t) = 1. If the spatially homogeneous density field varies with time t as...

A two-dimensional incompressible frictionless flow field is given by $\vec{u} = x\hat{i} - y\hat{j}$. If $\rho$ is the density of the fluid, the expression for pressure gradient ve...

The figure shows a pouring arrangement for casting of a metal block. Frictional losses are negligible. The acceleration due to gravity is 9.81 m/s². The time (in s, round off to tw...

In a Lagrangian system, the position of a fluid particle in a flow is described as $x = x_0e^{-kt}$ and $y = y_0e^{kt}$ where $t$ is the time while $x_0, y_0$, and $k$ are constant...

Air flows at the rate of 1.5 m³/s through a horizontal pipe with a gradually reducing cross-section as shown in the figure. The two cross-sections of the pipe have diameters of 400...

Consider the following statements regarding streamline(s): (i) It is a continuous line such that the tangent at any point on it shows the velocity vector at that point (ii) There i...