Recent questions tagged fluid-mechanics

For the laminar, incompressible flow over a flat plate with uniform free stream velocity, the axial pressure gradient within the boundary layer isgreater than zero.less t...

For incompressible, laminar, fully-developed flow through a circular pipe, Darcy friction factor and Fanning friction factor are represented as $f$ and $C_{f}$, respectiv...

The hydraulic diameter for a circular pipe of radius $R$ is$0.5 R$$R$$2 R$$4 R$

For an immersed neutrally buoyant body to be in stable equilibrium, the center of gravity of the body is directlyabove the metacenter.below the metacenter.above the cente...

The absolute pressure in a chamber is measured as $400$ mm Hg at a location where the atmospheric pressure is $700$ mm Hg . A vacuum gauge connected to the chamber reads ...

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...

A one-eighth scale model of a car is to be tested in a wind tunnel. If the air velocity over the car is $16 \mathrm{~m} / \mathrm{s}$, what should be the air velocity $\t...

Consider a fluid flow around an airfoil as shown in figure.The directions of drag force and lift force, respectively are alongOA and OC.OA and OD.OB and OC .OB and OD .

A circular water jet of diameter $50$ mm impinges with a velocity of $18 \mathrm{~m} / \mathrm{s}$ normal to a plate. The density of water is $1000 \mathrm{~kg} / \mathrm...

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...

Consider the steady, incompressible flow of water in a horizontal pipe of constant diameter $1$ m with an inlet velocity of $12 \mathrm{~m} / \mathrm{s}$.As shown in figu...

The axial velocity profile of a laminar, incompressible and fully-developed flow in a circular pipe of radius $(R)$ is given as $u_{z}=-\frac{1}{4 \mu} \frac{\partial p}{...

Consider the incompressible, steady and irrotational flow through a concentric reducer in a horizontal pipeline. The pipe diameter reduces from $d_{1}=12 \mathrm{~cm}$ to...

Consider the incompressible fluid flow over a flat plate with a free stream velocity, $U_{\infty}=1 \mathrm{~m} / \mathrm{s}$. The fluid kinematic viscosity is $10^{-6} \...

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

For an incompressible boundary layer flow over a flat plate shown in the figure, the momentum thickness is expressed as$\int_0^{\infty} \frac{u}{U_{\infty}} d y$$\int_0^{...

Consider steady incompressible flow over a flat plate, where the dashed line represents the edge of the boundary layer, as shown in the figure. Which one among the follow...

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...

A stationary object is fully submerged in a static fluid, as shown in the figure. Here, $\text{CG}$ and $\mathrm{CB}$ stand for center of gravity and center of buoyancy, ...