Recent questions in Fluid Mechanics and Mechanical Operations

Consider a tank filled with $3$ immiscible liquid $A$, $B$ and $C$ at static equilibrium, as shown in the figure. At $2 \: cm$ below the liquid $A$- liquid $B$ interface,...

Seawater is passed through a column containing a bed of resin beads.Density of seawater $=1025 \: \text{ kg m}^{-3}$Density of resin beads $=1330 \text{ kg m}^{-3}$Diame...

Consider steady, laminar, fully developed flow of an incompressible Newtonian fluid through two horizontal straight pipes, $I$ and $II$, of circular cross section. The vo...

A student performs a flow experiment with Bingham Plastic under fully developed laminar flow conditions in a tube of radius $0.01 \: m$ with a pressure drop $(\Delta P)$ ...

A U-tube manometer contains two manometric fluids of densities $1000 \: kg \: m^{-3}$ and $600 \: kg \: m^{-3}$. When both the limbs are open to atmosphere, the differenc...

Liquid water is pumped at a volumetric flow rate of $0.02 \: m^3 s^{-1}$ from Tank $I$ to Tank $II$, as shown in the figure.Both the tanks are open to the atmosphere. The...

In a constant-pressure cake filtration with an incompressible cake layer, volume of the filtrate $(V)$ is measured as a function of time $t$. The plot of $t/V$ versus $V$...

A rigid spherical particle undergoes free settling in a liquid of density $750 \: kg \: m^{-3}$ and viscosity $9.81 \times 10^{-3} \: Pa \: s$. Density of the particle is...

Consider an incompressible flow of a constant property fluid over a smooth, thin and wide flat plate. The free stream flows parallel to the surface of the plate along its...

For a fully-developed turbulent hydrodynamic boundary layer for flow past a flat plate, the thickness of the boundary layer increases with distance $x$ from the leading e...

Consider a cylinder (diameter $D$ and length $D$), a sphere (diameter $D$) and a cube (side length $D$). Which of the following statements concerning the sphericity $\lef...

An incompressible Newtonian fluid flows in a pipe of diameter $D_{1}$ at volumetric flow rate $Q$. Fluid with same properties flows in another pipe of diameter $D_{2}=D_...

A disk turbine is used to stir a liquid in a baffled tank. To design the agitator, experiments are performed in a lab-scale model with a turbine diameter of $0.05 \:m$ an...

A centrifugal pump is used to pump water (density $1000$ $kg/m^{3}$) from an inlet pressure of $10^{5}$ $Pa$ to an exit pressure of $2 \times 10^{5}$ $Pa$. The exit is at...

In a venturi meter. $\Delta P_{1}$ and $\Delta P_{2}$ are the pressure drops corresponding to volumetric flowrates $Q_{1}$ and $Q_{2}$. If $Q_{2}/Q_{1}=2$, then $\Delta P...

The thickness of laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. As the distance increase, the boundary layer thic...

Which of the following is the correct sequence of equipment for size reduction of solids?

A gas bubble (gas density $\rho_{g} =2\:kg/m^{3}$ ; bubble diameter $D=10^{-4}\:m$ is rising vertically through water (density $\rho =1000\:kg/m^{3}$; viscosity $\mu =0.0...

Oil is being delivered at a steady flowrate through a circular pipe of radius $1.25\times10^{-2}\:m$ and $10\:m$. The pressure drop across the pipe is $500\:Pa$.The shear...

The following table provides four sets of Fanning friction factor data, for different values of Reynolds number $(Re)$ and roughness factor $\left ( \frac{k}{D} \right )....

A propeller (diameter $D=15\:m$) rotates at $N=1$ revolution per second $(rps)$. To understand the flow around the propeller, a lab-scale model is made. Important paramet...

Size analysis was carried out on a sample of gravel. The data for mass fraction $(x_{i})$ and average particle diameter $(D_{pi})$ of the fraction is given in the table b...

For a flow through a smooth pipe, the Fanning friction factor $(f)$ is given by $f=mRe^{-0.2}$ in the turbulent flow regime, where $Re$ is the Reynolds number and $m$ is ...

In a cyclone separator used for separation of solid particles from a dust laden gas, the separation factor is defined as the ratio of the centrifugal force to the gravita...

A vertical cylindrical vessel has a layer of kerosene (of density $800\: kg/m^{3}$) over a layer of water (of density $1000 \:kg/m^{3}$). $L$ – shaped glass tubes are con...

Water (density=$1000\:kg\:m^{-3}$) is pumped at a rate of $36\:m^{3}/h$, from a tank $2\:m$ below the pump, to an overhead pressurized vessel $10\:m$ above the pump. The ...

An agitated cylinder vessel is fitted with baffles and flat blade impellers. The power number for this system is given by $N_{p}=\frac{P}{\rho n^{3}D^{5}}$ where $P$ is t...

Consider a rigid solid sphere falling with a constant velocity in a fluid. The following data are known at the conditions of interest: viscosity of the fluid = $0.1\:Pa\;...

The characteristics curve (Head-Capacity relationship) of a centrifugal pimp is represented by the equation $\Delta H_{pump}=43.8-0.19Q$, where $\Delta H_{pump}$ is the h...

Water flows through a smooth circular pipe under turbulent conditions. In the viscous sub-layer, the velocity varies linearly with the distance from the wall. The Fanning...

Two different liquids are flowing through different pipes of the same diameter. In the first pipe, the flow is laminar with centerline velocity, $V_{max,1}$, whereas in t...

For uniform laminar flow over a flat plate, the thickness of the boundary layer, $\delta$ at a distance $x$ from the leading edge of the plate follows the reaction :$\del...

A cylindrical packed bed of height $1\:m$ is filled with equal sized spherical particles. The particles are nonporous and have a density of $1500$ kg/$m^{3}$. The void fr...

For Fanning friction factor $f$ (for flow in pipes) and drag coefficient $C_{D}$ (for flow over immersed bodies), which of the following statements are true?$P.$ $f$ acco...

A centrifugal pump delivers water at the rate of $0.22 m^{3}/s$ from a reservoir at ground level to another reservoir at a height $H$,through a vertical pipe ot $0.2\:m$ ...

A spherical solid particle of $1\: mm$ diameter is falling with a downward velocity of $1.7\:mm/s$ through a liquid (viscosity $0.04\: Pa.s$) at a low Reynolds number Sto...

In a steady and incompressible flow of a fluid (density = $1.25\: kg\: m^{-3}$), the difference between stagnation and static pressures at the same location in the flow i...

In a steady incompressible flow, the velocity distribution is given by $\bar{V}=3x\hat{i}-Py\hat{j}+5z\hat{k}$, where, $V$ is in $m/s$ and $x,y$ and $z$ are in $m$. In or...

Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Turbulence} & \text{I. Reciprocating pump}\\&\text{Q. $NPSH$} & \text{II. Packed be...