Recent questions tagged fluid-mechanics

A mould cavity of $1200 \: cm^3$ volume has to be filled through a sprue of $10$ cm length feeding a horizontal runner. Cross-sectional area at the base of the sprue is $...

Water (density $1000 \: kg/m^3$) flows through an inclined pipe of uniform diameter. The velocity, pressure and elevation at section $\textbf{A}$ are $V_A=3.2 \: m/s, \: ...

Water flows through a tube of $3$ cm internal diameter and length $20$ m. The outside surface of the tube is heated electrically so that it is subjected to uniform heat f...

Froude number is the ratio ofbuoyancy forces to viscous forcesinertia forces to viscous forcesbuoyancy forces to inertia forcesinertia forces to gravity forces

Match the following non-dimensional numbers with the corresponding definitions:$\begin{array}{|c|c|c|cI|} \hline {} & \textbf{Non-dimensional number} & {} & \textbf{Def...

The velocity field of an incompressible flow in a Cartesian system is represented by$$\overrightarrow{V}=2\left ( x^{2}-y^{2} \right )\widehat{i}+v\widehat{j}+3\widehat{k...

Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter $\text{D}$. We know that the velocity profile forms a paraboloid ab...

Air discharges steadily through a horizontal nozzle and impinges on a stationary vertical plate as shown in figure. The inlet and outlet areas of the nozzle are $...

A two-dimensional incompressible frictionless flow field is given by $\overrightarrow{u} = x \hat{i} – y \hat{j}$. If $\rho$ is the density of the fluid, the expression f...

Water enters a circular pipe of length $L=5.0$ m and diameter $D=0.20$m with Reynolds number $Re_D=500$. The velocity profile at the inlet of the pipe is uniform while it...

Water flows through two different pipes $A$ and $B$ of the same circular cross-section but at different flow rates. The length of pipe $A$ is $1.0 \: m$ and that of pipe ...

The aerodynamic drag on a sports car depends on its shape. The car has a drag coefficient of $0.1$ with the windows and the roof closed. With the windows and the roof ope...

Water flowing at the rate of $1$ kg/s through a system is heated using an electric heater such that the specific enthalpy of the water increases by $2.50 \: kJ/kg$ and th...

An idealized centrifugal pump (blade outer radius of $50 \: mm$) consumes $2 \: kW$ power while running at $3000 \: rpm$. The entry of the liquid into the pump is axial a...

For a hydrodynamically and thermally fully developed laminar flow through a circular pipe of constant cross-section, the Nusselt number at constant wall heat flux $(Nu_q...

Water flows through a pipe with a velocity given by $\overrightarrow{V}= \bigg( \dfrac{4}{t}+x+y \bigg) \hat{j} \: m/s$, where $\hat{j}$ is the unit vector in the $y$ dir...

The wall of a constant diameter pipe of length $1 \: m$ is heated uniformly with flux $q’’$ by wrapping a heater coil around it. The flow at the inlet to the pipe is hydr...

Two immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, $2 \: m$ apa...

A cube of side $100 \: mm$ is placed at the bottom of an empty container on one of its faces. The density of the material of the cube is $800 \: kg/m^3$. Liquid of densit...

A large tank with a nozzle attached contains three immiscible, inviscid fluid as shown. Assuming that the changes in $h_1, h_2$ and $h_3$ are negligible, the instantaneou...

An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is $1$ mm at a location where the Reynolds number is $1000$. If ...

An ideal gas of mass $m$ and temperature $T_1$ undergoes a reversible isothermal process from an initial pressure $P_1$ to final pressure $P_2$. The hear loss during the ...

The velocity triangles at the inlet and exit of the rotor of a turbomachine are shown. $V$ denotes the absolute velocity of the fluid, $W$ denotes the relative velocity o...

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by $1 \%$ and the thickness is reduced by $1 \%$ with the inte...

Oil flows through a $200$ mm diameter horizontal cast iron pipe (friction factor, $f=0.0225$) of length $500 m$. The volumetric flow rate is $0.2 \: m^3/s$. The head loss...

In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rateincreases continuouslydecreases continuouslydec...

A solid block of $2.0 \: kg$ mass slides steadily at a velocity $V$ along a vertical wall as shown in the figure below. A thin oil film of thickness $h=0.15 \: mm$ provid...

A sprinkler shown in the figure rotates about its hinge point in a horizontal plane due to water flow discharged through its two exit nozzles.The total flow rate Q throug...

In a Lagrangian system, the position of a fluid particle in a flow is described as $x=x_0e^{-kt}$ and $y=y_oe^{kt}$ where $t$ is the time while $x_o, \: y_o$, and $k$ are...

A tank open at the top with a water level of $1$ m, as shown in the figure, has a hole at a height of 0.5 m. A free jet leaves horizontally from the smooth hole. The dist...