Recent questions tagged fluid-mechanics

A jet of water having a velocity of $20 \mathrm{~m} / \mathrm{s}$ strikes a series of plates fixed radially on a wheel revolving in the same direction as the jet at $15 \...

The dimension of dynamic viscosity is:$\text{ML}^{-1} \text{T}^{-1}$$\text{ML}^{-1} \text{T}^{-2}$$\text{ML}^{-2} \text{T}^{-2}$$\text{ML}^{0} \text{T}^{-1}$

Water is flowing in a horizontal, frictionless, rectangular channel. A smooth hump is built on the channel floor at a section and its height is gradually increased to rea...

A hydraulic jump takes place in a $6 \; \text{m}$ wide rectangular channel at a point where the upstream depth is $0.5 \; \text{m}$ (just before the jump). If the dischar...

Two discrete spherical particles ($\text{P}$ and $\text{Q}$) of equal mass density are independently released in water. Particle $\text{P}$ and particle $\text{Q}$ have d...

With respect to fluid flow, match the following in Column $X$ with Column $Y$:$$\begin{array}{|l|l|} \hline \qquad \textbf{Column X} & \qquad \textbf{Column Y} \\ \hline...

​​​​​​A rectangular channel with Gradually Varied Flow $\text{(GVF)}$ has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting $\te...

Two reservoirs are connected by two parallel pipes of equal length and of diameters $20\:cm$ and $10\:cm$, as shown in the figure (not drawn to scale). When the differenc...

Depth of water flowing in a $3\:m$ wide rectangular channel is $2\:m$. The channel carries a discharge of $12\:m^{3}/s$. Take $g = 9.8\; m/s^{2}$.The bed width (in $m$) a...

A water supply scheme transports $10\:MLD$ (MIllion Litres per Day) water through a $450\:mm$ diameter pipeline for a distance of $2.5\:km$. A chlorine dose of $3.50\:mg/...

The figure shows a U-tube having a $5 \: mm \times 5 mm$ square cross-section filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open...

A circular duct carrying water gradually contracts from a diameter of $30 \: cm$ to $15 \: cm$. The figure (not drawn to scale) shows the arrangement to differential man...

Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocit...

A solid sphere of radius, $r$, and made of material with density, $\rho_s$, is moving through the atmosphere (constant pressure, $p$) with a velocity, $v$. The net force ...

The velocity field in a flow system is given by $v=2\textbf{i}+(x+y) \textbf{j} + (xyz) \textbf{k}$. The acceleration of the fluid at $(1,1,2)$ is$2 \textbf{i}+ 10 \textb...

Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in...

Group I contains the types of fluids while group II contains the shear stress – rate of shear relationship of different types of fluids, as shown in the figure.$$\begin{a...

For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation islinear with zero value at the plateslinear with zer...

The reaction rate involving reactants $A$ and $B$ is given by $-k[A]^{\alpha} [B]^{\beta}$. Which one of the following statements is valid for the reaction to be first-or...

A triangular pipe network is shown in the figure.The head loss in each pipe is given by $h_f = rQ^{1.8}$, with the variables expressed in a consistent set of units. The v...

Water flows through a $90^{\circ}$ bend in a horizontal plane as depicted in the figure.A pressure of $140$ kPa is measured at Section $1-1$. The inlet diameter marked at...

The spherical grit particles, having a radius of $0.01$ mm and specific gravity of $3.0$, need to be separated in a settling chamber. It is given that$g=9.81 \: m/s^2$the...

The velocity components of a two dimensional plane motion of a fluid are $:u=\dfrac{y^3}{3}+2x—x^2y$ and $v=xy^2-2y-\dfrac{x^3}{3}$. The correct statement is:Fluid is inc...

Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity?Seepage velocity is always smaller than discharge velocitySeepa...

In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$-direction is given by $v_x=x^2$ and the density varies a...

For steady incompressible flow through a closed-conduit of uniform cross-section, the direction of flow will always be:from higher to lower elevationfrom higher to lower ...

The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosi...

With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stat...

A venturimeter having a throat diameter of $0.1$ m is used to estimate the flow rate of a horizontal pipe having a diameter of $0.2$ m. For an observed pressure differenc...

Group I lists a few devices while Group II provides information about their uses. Match the devices with their corresponding use.$\begin{array}{llll} {} & \text{Group I} ...

A plane flow has velocity components $u=\dfrac{x}{T_1}$, $v=-\dfrac{y}{T_2}$ and $w=0$ along $x,y$ and $z$ directions respectively, where $T_1( \neq 0)$ and $T_2 (\neq 0)...

A straight $100$ m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this wate...

Three rigid buckets, shown as in the figures $(1)$, $(2)$, and $(3)$, are of identical heights and base areas. Further, assume that each of these buckets have negligible ...

A horizontal jet of water with its cross-sectional area of $0.0028 \: m^2$ hits a fixed vertical plate with a velocity of $5$ m/s. After impact, the jet splits symmetrica...

A venturimeter, having a diameter of $7.5$ cm at the throat an $15$ cm at the enlarged end, is installed in a horizontal pipeline of $15$ cm diameter. The pipe carries an...

An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters $d_1$ and $d_2$...

An incompressible homogeneous fluid is flowing steadily in a variable diameter pipe having the large and small diameters as $15$ cm and $5$ cm, respectively. If the velo...

The dimension for kinematic viscosity is$\dfrac{L}{MT} \\$$\dfrac{L}{T^2} \\$$\dfrac{L^2}{T} \\$$\dfrac{ML}{T}$

Group-I contains dimensionless parameters and Group-II contains the ratios.$\begin{array}{ll} \text{Group I} & \text{Group II} \\ \text{P. Mach Number} & \text{1. Ratio o...

For a two dimensional flow field, the stream function $\psi$ is given as $\psi = \dfrac{3}{2}(y^2-x^2)$. The magnitude of discharge occurring between the stream lines pas...