Recent questions tagged fluid-mechanics

The volumetric flow rate (per unit depth) between two streamlines having stream functions $\Psi _1$ and $\Psi _2$ is$\mid \Psi _1+\Psi _2\mid$$\Psi _1\Psi _2$$\Psi _1/\Ps...

A fluid (Prandtl number, $P_r=1$) at $500\:K$ flows over a flat plate of $1.5\:m$ length, maintained at $300\: K$. The velocity of the fluid is $10 \: m/s$. Assuming kine...

Oil (kinematic viscosity, $v_{\text{oil}}=1.0\times 10^{-5} \:m^2/s$) flows through a pipe of $0.5$ $m$ diameter with a velocity of $10$ $m/s$. Water (kinematic viscosity...

Propane ($C_3H_8$) is burned in an oxygen atmosphere with $10$% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, t...

For a floating body, buoyant force acts at thecentroid of the floating bodycenter of gravity of the bodycentroid of the fluid vertically below the bodycentroid of the dis...

The instantaneous stream-wise velocity of a turbulent flow is given as follows:$u(x,y,z,t)=\overline{u}(x,y,z)+{u}'(x,y,z,t)$The time-average of the fluctuating velocity ...

A Prandtl tube (Pitot-static tube with $C$=$1$) is used to measure the velocity of water. The differential manometer reading is $10$ $mm$ of liquid column with a relative...

A rigid container of volume $0.5 m^3$ contains $1.0$ kg of water at $12^\circ C$ $(v_f = 0.00106 m^3/kg$, $v_g= 0.8908 m^3/kg)$. The state of water iscompressed liquidsat...

Three parallel pipes connected at the two ends have flow-rates $Q_1$, $Q_2$ and $Q_3$ respectively, and the corresponding frictional head losses are $h_{L1}$, $h_{L2}$ an...

Couette flow is characterized bysteady, incompressible, laminar flow through a straight circular pipefully developed turbulent flow through a straight circular pipesteady...

For a fully developed laminar flow of water (dynamic viscosity $0.001$ $P_{a-s}$) through a pipe of radius $5$ $cm$, the axial pressure gradient is −$10$ $Pa/m$. The magn...

The head loss for a laminar incompressible flow through a horizontal circular pipe is $h_1$. Pipe length and fluid remaining the same, if the average flow velocity double...

If a foam insulation is added to a $4 \: cm$ outer diameter pipe as shown in the figure, the critical radius of insulation (in $cm$) is _____________

Within a boundary layer for a steady incompressible flow, the Bernoulli equationholds because the flow is steadyholds because the flow is incompressibleholds because the ...

If the fluid velocity for a potential flow is given by $V(x,y)=u(x,y)i+v(x,y)j$ with usual notations, then the slope of the potential line at $(x,y)$ is$\dfrac{v}{u} \\$$...

The velocity field of an incompressible flow is given by $V=(a_1x+a_2y+a_3z)i+(b_1x+b_2y+b_3z)j+(c_1x+c_2y+c_3z)z$, where $a_1$ = $2$ and $c_3$ = − $4$. The value of $b_2...

Water $(\rho = 1000 \: kg/m^3)$ flows through a venturimeter with inlet diameter $80 \: mm$ and throat diameter $40 \: mm$. The inlet and throat gauge pressures are measu...

Match the following pairs:\begin{array}{|l|l|l|l|} \hline &\textbf{Equation} && \textbf{Physical Interpretation} \\ \hline P. & \nabla \times \overrightarrow{V}=0 & I. & ...

For flow through a pipe of radius $R$, the velocity and temperature distribution are as follows:$u(r,x)=C_1,$, and $T(r,x)=C_2[1- \left (\dfrac{r}{R} \right )^3]$ where $...

A ball of mass $0.1 \text{ kg}$, initially at rest, is dropped from height of $1$m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velo...

A swimmer can swim $10$ $km$ in $2$ hours when swimming along the flow of a river. While swimming against the flow, she takes $5$ hours for the same distance. Her speed i...

Consider fully developed flow in a circular pipe with negligible entrance length effects. Assuming the mass flow rate, density and friction factor to be constant, if the ...

Water flows through a tube of diameter $25$ $mm$ at an average velocity of $1.0$ $m/s$. The properties of water are $\rho$=$1000$ $kg/m^3$, $\mu$=$7.25 ×10^{−4}$ $N.s/m^2...

A closed system contains $10$ $kg$ of saturated liquid ammonia at $10^{\circ}$ $C$. Heat addition required to convert the entire liquid into saturated vapour at a constan...

A flow field which has only convective acceleration isa steady uniform flowan unsteady uniform flowa steady non-uniform flowan unsteady non-uniform flow

A fluid of dynamic viscosity $2 × 10^{−5}$ $kg/m.s$ and density $1$ $kg/m^3$ flows with an average velocity of $1$ $m/s$ through a long duct of rectangular ($25$ $mm$ × $...

A siphon is used to drain water from a large tank as shown in the figure below. Assume that the level of water is maintained constant. Ignore frictional effect due to vis...

A project has four activities $P, Q, R$ and $S$ as shown below.$$\begin{array}{|c|c|c|c|} \hline \text{Activity} & \text{Normal duration (days)} & \text{Predecessor} & \t...

Consider laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a distance of $0.25$ $m$ from the leading edge of the plate is $8$ $mm$...

Water flows through a $10$ $mm$ diameter and $250$ $m$ long smooth pipe at an average velocity of $0.1 m/s$. The density and the viscosity of water are $997$ $kg/m^3$ and...