Recent questions in Fluid Mechanics and Mechanical Operations

In which of the following condition(s), Bernoulli's equation is applicable?incompressible flowinviscid flowunsteady flowflow along a streamline

Consider two successive screen sizes in the Tyler standard screen scale, viz. $150$ meshes per inch and $200$ meshes per inch. Their linear sizes of the openings are $\ma...

Water is discharged from vertical side of a tank through a circular orifice of diameter $2$ cm under laminar flow conditions. The water surface in the tank is maintained ...

Consider a flow with the following velocity field\[\overrightarrow{\boldsymbol{V}}=(x+y) \hat{\boldsymbol{\imath}}+(y+z) \hat{\boldsymbol{\jmath}}+(z+x) \widehat{\boldsym...

The gross energy requirement, to reduce a very large feed of coal to such a size that $80 \%$ of the product passes through a $100 ~\mu \mathrm{m}$ screen, is $13 \text{k...

Laboratory filtration is conducted at constant pressure drop of $200 \text{ kPa}$ on a slurry of $\mathrm{CaCO}_{3}$ in water at room temperature. The time taken to colle...

When a cylindrical capillary glass tube, open at both ends, is vertically inserted in a pool of water, the water level in the tube rises to $7 \mathrm{~cm}$ relative to t...

Consider a two-dimensional, steady, laminar flow of an incompressible fluid with zero pressure gradient, over a thin horizontal flat plate of length $2 \text{ m}$. The fr...

The velocity profile for a fully developed laminar flow of an incompressible Newtonian fluid, at steady state, through a horizontal infinitely wide and long slit of gap $...

​​​​​The sum of the components of the force due to pressure and shear at the solid-fluid boundary of a solid body in the direction normal to the flow isDragFrictionLiftBu...

​​Choose the CORRECT option for pathlines, streaklines and streamlines for a STEADY flow field.All three lines are identicalOnly pathlines and streaklines are identicalOn...

​​​For a steady state, fully developed laminar flow of a Newtonian fluid through a cylindrical pipe at a constant volumetric flow rate, which of the following statements ...

A leaf filter is operated at $1$ atm (gauge). The volume of filtrate collected $\left(V\right.$ in $\left.\mathrm{m}^{3}\right)$ is related with the volumetric flow rate ...

An infinitely long cylindrical water filament of radius 𝑅 is surrounded by air.Assume water and air to be static. The pressure outside the filament is 𝑃out and thepressur...

An infinitely long cylindrical water filament of radius $R$ is surrounded by air. Assume water and air to be static. The pressure outside the filament is $P_{\text {out }...

​​​​​The velocity field in an incompressible flow is $\boldsymbol{v}=\alpha x y \hat{\boldsymbol{\imath}}+v_{y} \hat{\boldsymbol{\jmath}}+\beta \widehat{\boldsymbol{k}}$,...

Consider the steady, uni-directional, fully-developed, pressure-driven laminar flow of an incompressible Newtonian fluid through a circular pipe of inner radius $5.0 \mat...

​​​​Consider a steady, fully-developed, uni-directional laminar flow of an incompressible Newtonian fluid (viscosity $\mu$ ) between two infinitely long horizontal plates...

A metallic spherical particle of density $7001 \mathrm{~kg} \mathrm{~m}^{-3}$ and diameter $1 \mathrm{~mm}$ is settling steadily due to gravity in a stagnant gas of densi...

Water of density $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ is pumped at a volumetric flow rate of $3.14 \times 10^{-2} \mathrm{~m}^{3} \mathrm{~s}^{-1}$, through a pipe of inn...

A Venturi meter with a throat diameter $d=2 \mathrm{~cm}$ measures the flow rate in a pipe of diameter $D=6 \mathrm{~cm}$, as shown in the figure. A U-tube manometer is c...

For a packed-bed comprising of uniform-sized spherical particles of diameter $D_{\mathrm{p}}$, the pressure drop across the bed is given by the Kozeny-Carman equation whe...

Which one of the following quantities of a flowing fluid is measured using a rotameter?Static pressureDynamic pressureVolumetric flow rateViscosity

For a fully developed turbulent flow of an incompressible Newtonian fluid through a pipe of constant diameter, which of the following statements is/are $\text{CORRECT?}$R...

The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter $0.5 \mathrm{~mm}$ and length $1.5 \mathrm{~m}$. The fluid flow is lamin...

A pump draws water $\left(\right.$ density $\left.=1000 \mathrm{~kg} \cdot \mathrm{m}^{-3}\right)$ at a steady rate of $10 \mathrm{~kg} \cdot \mathrm{s}^{-1}$. The pressu...

A cylindrical tank with a diameter of $500 \mathrm{~mm}$ contains water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height $h$. A $5 \mathrm{~mm}$ diameter ...

A large tank is filled with water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height of $5 \mathrm{~m}$. A $100 ~ \mu \mathrm{m}$ diameter solid spherical p...

Consider turbulent flow in a pipe under isothermal conditions. Let $r$ denote the radial coordinate and $z$ denote the axial flow direction. On moving away from the wall ...

A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ strikes a vertical solid plate with a hole of diameter $D_{2} = 1\:cm$, as shown in the figure. A part of ...

Consider a horizontal rod of radius $aR (a < 1)$ in a stationary pipe of radius $R$. The rod is pulled coaxially at a constant velocity $V$ as shown in the figure. The an...

Two reservoirs located at the same altitude are connected by a straight horizontal pipe of length $120\:m$ and inner diameter $0.5\:m$, as shown in the figure. A pump tra...

A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water (density $1000\:kg\:m^{-3}$) is flowing through the...

In a constant-rate cake filtration operation, the collected filtrate volumes are $120\:m^{3}$ and $240\:m^{3}$ at $1$ min and $2$ min, respectively. Assume the cake resis...

A batch settling experiment is performed in a long column using a dilute dispersion containing equal number of particles of type $A$ and type $B$ in water (density $1000 ...

Consider a steady flow of an incompressible, Newtonian fluid through a smooth circular pipe. Let $\alpha_{\textit{laminar}}$ and $\alpha_{\textit{turbulent}}$ denote the ...

Consider a fluid confined between two horizontal parallel plates and subjected to shear flow.In the first experiment, the plates are separated by a distance of $1 \: mm$....

Water of density $1000 \text{ kg m}^{-3}$ flows in a horizontal pipe of $10 \: cm$ diameter at an average velocity of $0.5 \: m \: s^{-1}$. The following plot shows the p...