Recent activity in Fluid Mechanics

Consider a steady flow through a horizontal divergent channel, as shown in the figure, with supersonic flow at the inlet. The direction of flow is from left to right.Pres...

A hydraulic crane supports a mass of $500$ kg with its piston-cylinder actuator, inclined at $60^{\circ}$ with horizontal, as shown in the figure below. The diameter of t...

An inward flow reaction turbine, having an outer diameter of $1$ m, runs at $600$ RPM. The normal component of absolute velocity at the inlet is $10 \mathrm{~m} / \mathrm...

Water with a density of $1000 \mathrm{~kg} / \mathrm{m}^{3}$ comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of $4.5 \math...

A steady incompressible laminar flow passes through a $90^{\circ}$ tube bend placed on a horizontal surface. In horizontal diametric plane, two pressure taps $P_{i}$ and ...

Bernoulli's equation CANNOT be applied betweenany two arbitrary points in the flow field for steady incompressible rotational flowany two arbitrary points in the flow fie...

An ideal gas passes isothermally through a long horizontal uniform cross-section pipe under steady flow. Consider that the pressure gradient in the pipe is sufficient for...

​​​​In a laboratory experiment using a scaled down model to measure scour at a bridge pier, the Froude number is important. The ratio of the prototype length to the model...

​​​For a fully-developed pipe flow, which of the following options is/are correct?For the same maximum velocity, the average velocity is higher in the turbulent regime th...

A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of air is $1.23 \mathr...

Consider a velocity field $\vec{V}=3 z \hat{\imath}+0 \hat{\jmath}+C x \: \widehat{k}$, where $C$ is a constant. If the flow is irrotational, the value of $C$ is _______...

In the space above the mercury column in a barometer tube, the gauge pressure of the vapour ispositive, but more than one atmospherenegativezeropositive, but less than on...

A hollow spherical ball of radius $20$ cm floats in still water, with half of its volume submerged. Taking the density of water as $1000 \: kg/m^3$, and the acceleration ...

Let a spherical block of ice at $-7^{\circ} \mathrm{C}$ be exposed to atmospheric air at $30^{\circ} \mathrm{C}$ with the gravitational direction as shown in the figure b...

​​​​The velocity field of a two-dimensional, incompressible flow is given by\[\vec{V}=2 \sinh x \hat{\imath}+v(x, y) \hat{\jmath}\]where $\hat{\imath}$ and $\hat{\jmath}$...

​​​​​In the pipe network shown in the figure, all pipes have the same cross-section and can be assumed to have the same friction factor. The pipes connecting points $W, N...

​​​Steady, compressible flow of air takes place through an adiabatic convergingdiverging nozzle, as shown in the figure. For a particular value of pressure difference acr...

A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. Experiments show that the distance $L$ travelled by the liquid meniscus ...

Air (density $=1.2 \mathrm{~kg} / \mathrm{m}^3$, kinematic viscosity $=1.5 \times 10^{-5} \mathrm{~m}^2 / \mathrm{s}$ ) flows over a flat plate with a free-stream velocit...

Consider an isentropic flow of air (ratio of specific heats $=1.4$ ) through a duct as shown in the figure.The variations in the flow across the cross-section are negligi...

A vector field$$\mathbf{B}(x, y, z)=x \; \hat{\imath}+y \; \hat{\jmath}-2 z \; \hat{\mathrm{k}}$$is defined over a conical region having height $h=2$, base radius $r=3$ a...

Consider a unidirectional fluid flow with the velocity field given by$$V(x, y, z, t)=u(x, t) \hat{\imath}$$where $u(0, t)=1$. If the spatially homogeneous density field v...

The velocity field of a certain two-dimensional flow is given by$\boldsymbol{V}(x, y)=k(x \hat{\imath}-y \hat{\jmath})$where $k=2 \mathrm{~s}^{-1}$. The coordinates $x$ a...

The figure shows two fluids held by a hinged gate. The atmospheric pressure is $P_a=100 \mathrm{kPa}$. The moment per unit width about the base of the hinge is __________...

An explosion at time $t=0$ releases energy $\text{E}$ at the origin in a space filled with a gas of density $\rho$. Subsequently, a hemispherical blast wave propagates ra...

The velocity field in a fluid is given to be $\vec{V} = \left ( 4xy \right )\hat{i} + 2\left ( x^{2} - y^{2} \right )\hat{j}$. Which of the following statement$(s)$ is/ar...

A tube of uniform diameter $D$ is immersed in a steady flowing inviscid liquid stream of velocity $V$, as shown in the figure. Gravitational acceleration is represented b...

The steady velocity field in an inviscid fluid of density $1.5$ is given to be $\vec{V} = \left ( y^{2}-x^{2} \right )\hat{i} + \left ( 2xy \right )\hat{j}.$ Neglecting b...

A uniform wooden rod (specific gravity = $0.6$, diameter = $4$ $\text{cm}$ and length = $8\:m$) is immersed in the water and is hinged without friction at point $A$ on th...