Recent questions tagged fluid-mechanics

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A flat plate of width $L=1 \: m$ is pushed down with a velocity $U=0.01 \: m/s$ towards a wall resulting in the drainage of the fluid between the plate and the wall as so...
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For a wo-dimensional incompressible flow field given by $\overrightarrow{u} = A(x \hat{i} - y \hat{j}), \text{ where } A>0$, which one of the following statements is FALS...
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For the laminar flow of water over a sphere, the drag coefficient $C_{F}$ is defined as $C_{F}=F/(\rho U^{2} D^{2})$, where $F$ is the drag force, $\rho$ is the fluid den...
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A $60$ mm-diameter water jet strikes a plate containing a hole of $40$ mm diameter as shown in the figure. Part of the jet passes through the hole horizontally and the re...
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The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. ...
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Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is denoted by $\tau _{w}$. The axial positions $x_{1}$ and $x_{2}$ on the plate ...
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For the stability of a floating body theCentre of buoyancy must coincide with the centre of gravity.Centre of buoyancy must be above the centre of gravity.Centre of gravi...
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For a steady flow, the velocity field is $\vec{V}=(-x^{2}+3y)\hat{i}+(2xy)\hat{j}$. The magnitude of the acceleration of a particle at $(1, -1)$ is$2$$1$$2\sqrt{5}$$0$
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Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length an...
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The velocity profile inside the boundary layer for flow over a flat plate is given as $\dfrac{u}{U_{\infty }}= \sin \left ( \dfrac{\Pi }{2}\dfrac{y}{\delta } \right )$, w...
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Which one of the following is NOT a rotating machine?Centrifugal pumpGear pumpJet pumpVane pump
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Water (density $= 1000 kg/m^{3}$) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of $1 kg/s$. If the pressure drop across the...
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Consider the two-dimensional velocity field given by $\overrightarrow{V}=(5+a_{1}x+b_{1}y)\hat{i}+(4+a_{2}x+b_{2}y)\hat{j}$, where $a_{1}, b_{1}, a_{2}$ and $b_{2}$ are c...
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For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one ...
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Steam at an initial enthalpy of $100$ $kJ/kg$ and inlet velocity of $100$ $m/s$, enters an insulated horizontal nozzle. It leaves the nozzle at $200$ $m/s$. The exit enth...
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For a two-dimensional flow, the velocity field is $\overrightarrow{u}=\dfrac{x}{x^2+y^2}\hat{i}+\dfrac{y}{x^2+y^2}\hat{j}$ where$\hat{i}$ and $\hat{j}$ are the basis vec...
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The water jet exiting from a stationary tank through a circular opening of diameter $300 \: mm$ impinges on a rigid wall as shown in the figure. Neglect all minor losses ...
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Consider a fully developed steady laminar flow of an incompressible fluid with viscosity $μ$ through a circular pipe of radius $R$. Given that the velocity at a radial lo...
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Grashof number signifies the ratio ofinertia force to viscous forcebuoyancy force to viscous forcebuoyancy force to inertia forceinertia force to surface tension force
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For a certain two-dimensional incompressible flow, velocity field is given by $2xy\hat{i}-y^2\hat{j}$ . The streamlines for this flow are given by the family of curves$...
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A channel of width $450$ $mm$ branches into two sub-channels having width $300$ $mm$ and $200$ $mm$ as shown in figure. If the volumetric flow rate (taking unit depth) of...
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The surface irregularities of electrodes used in an electrochemical machining (ECM) process are $3 \: μm$ and $6 \: μm$ as shown in the figure. If the work-piece is of pu...
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For the situation shown in the figure below the expression for $H$ in terms of $r$, $R$ and $D$ is $H=D+\sqrt{r^2+R^2}$$H=(R+r)+(D+r)$$H=(R+r)+\sqrt{D^2-R^2}$$H=(R+r)+\sq...
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A piston-cylinder device initially contains $0.4 \: m^3$ of air (to be treated as an ideal gas) at $100 \: kPa$ and $80^ \circ C$. The air is now isothermally compressed ...
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The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that $45$ percent of its volume is in oil while th...
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Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions $2R \times L$ at the bottom of an open tank as shown in the figure. The he...
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Consider fluid flow between two infinite horizontal plates which are parallel (the gap between them being $50 \: mm$). The top plate is sliding parallel to the stationary...
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In the phase diagram shown in the figure, four samples of the same composition are heated to temperatures marked by $a, b, c$ and $d$.At which temperature will a sample g...
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A hollow cylinder has length $L$, inner radius $r_1$, outer radius $r_2$, and thermal conductivity $k$. The thermal resistance of the cylinder for radial conduction is$\d...
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A point mass having mass $M$ is moving with a velocity $V$ at an angle $\theta$ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with ...