Recent questions tagged kinematics-of-fluid-motion

A thin film of an incompressible, Newtonian liquid $\text{(density $\rho$, viscosity $\mu$)}$ with an uniform thickness $(h)$ is flowing down on a vertical plate. The flo...

The velocity in a one-dimensional flow is given by $u(x)=\frac{a}{(b-x)^{2}} \mathrm{~m} / \mathrm{s}$, where $a=8 \mathrm{~m}^{3} / \mathrm{s}$ and $b=4 \mathrm{~m}$. Th...

Consider two parallel plates separated by a distance of $1$ cm filled with a Newtonian fluid of viscosity $10^{-3} \mathrm{~Pa}$.s. The top plate is moving with a velocit...

The velocity potential function in a two-dimensional flow field is given by $\phi(x, y)=-\left(a x y+b x^{2}-b y^{2}\right) \mathrm{m}^{2} / \mathrm{s}$ where $\mathrm{a}...

A turn-table is rotating about its center with an angular velocity of $2 \mathrm{rad} / \mathrm{s}$ in the counter-clockwise direction. There is a groove in the turn-tabl...

The work done by Coriolis force isdirectly proportional to velocitya function of latitudezeroalways positive except at the equator

Among the following non-dimensional numbers, which one characterizes periodicity present in a transient flow?Froude numberStrouhal numberPeclet numbeLewis number

An inviscid steady incompressible flow is formed by combining a uniform flow with velocity $U_{\infty}$ and a clockwise vortex of strength $K$ at the origin, as shown in ...

Which of the following statements are true?$\text{(i)}$ Conservation of mass for an unsteady incompressible flow can be represented as $\nabla \cdot \vec{V}=0$, where $\v...

For a two-dimensional flow field given as $\vec{V}=-x \hat{\imath}+y \hat{\jmath}$, a streamline passes through points $(2,1)$ and $(5, p)$. The value of $p$ is$5$$5 / 2$...

\begin{tabular}{|c|c|}\hline Q. 32 & \begin{tabular}{l}A two-dimensional incompressible flow field is defined as, \\$\qquad \vec{V}(x, y)=(A x y) \hat{\imath}+\left(B y^{...

\begin{tabular}{|c|c|}\hline Q. 34 & \begin{tabular}{l}Consider steady incompressible flow of a Newtonian fluid over a horizontal flat \\plate, as shown in the figure. Th...

\begin{tabular}{l|l}Q. 35 & In a steady two-dimensional compressible flow, $u$ and $v$ are the $x$ - and $y$ - \\components of flow velocity, respectively and $\rho$ is t...

Q. 38 The velocity and acceleration of a fluid particle are given as $\vec{V}=(-\hat{\imath}+2 \hat{\jmath}) \mathrm{m} / \mathrm{s}$ and $\vec{a}=(-2 \hat{\imath}-4 \hat...

The figure shows the developing zone and the fully developed region in a pipe flow where the steady flow takes place from left to right. The wall shear stress in the sect...

Which of the following statement(s) regarding a venturimeter is/are correct?In the direction of flow, it consists of a converging section, a throat, and a diverging secti...

Which of the following statement(s) is/are true for streamlines in a steady incompressible flow?Two streamlines cannot intersect each other.Flow rate increases between tw...

A flow has a velocity potential given by $\phi=A x^{3}$ where ' $A$ ' is a non-zero constant. Which of the following statement(s) is/are true about the flow?The flow is i...

A boundary layer develops due to a two-dimensional steady flow over a horizontal flat plate. Consider a vertical line away from the leading edge which extends from the wa...

A two-dimensional flow field is described by a combination of a source of strength $m$ at the origin and a uniform flow, $U$, in the positive $x$-direction such that the ...