Recent activity in Hydraulics

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A rectangular open channel of $\text{6 m}$ width is carrying a discharge of $20 \text{ m$^{3}$/s}$. Consider the acceleration due to gravity as $9.81 \text{ m/s}^{2}$ and...
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​​​​Lacey's regime equations, followed in India for making scour calculations while designing hydraulic structures across alluvial channels, are given below. Regarding th...
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A rectangular channel having a bed slope of $0.0001$, width $3.0$ m and Manning’s coefficient $’n’$ $0.015$, carries a discharge of $1.0 \: m^3/s$. Given that the norma...
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The normal depth in a wide rectangular channel is increased by $10 \%$. The percentage increase in the discharge in the channel is$20.1$$15.4$$10.5$$17.2$
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The relationship between the length scale ratio $(L_r)$ and the velocity scale ratio $(V_r)$ in the hydraulic models, in which Froude dynamic similarity is maintained is:...
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Seepage is occurring through a porous media shown in the figure. The hydraulic conductivity values $(k_1, k_2, k_3)$ are in m/day.The seepage discharge ($m^3/day$ per m) ...
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A $4$ m wide rectangular channel, having bed slope of $0.001$ carries a discharge of $16 \: m^3/s$. Considering Manning’s roughness coefficient $=0.012$ and $g=10 \: m/s^...
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A hydraulically efficient trapezoidal channel section has a uniform flow depth of $2$ m. The bed width (expressed in m) of the channel is ______
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Which one of the following is NOT present in the acid rain?$HNO_3$$H_2SO_4$$H_2CO_3$$CH_3COOH$
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A $1$ m wide rectangular channel has a bed slope of $0.0016$ and the Manning’s roughness coefficient is $0.04$ Uniform flow takes the place in the channel at a flow depth...
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A sluice gate used to control the flow in a horizontal channel of unit width is shown in the figure.It is observed that the depth of flow is $1.0$ m upstream of the gate,...
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In a $5$ m wide rectangular channel, the velocity $u$ distribution in the vertical direction $y$ is given by $u=1.25 y^{\frac{1}{6}}$. The distance $y$ is measured from t...
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Variation of water depth $(y)$ in a gradually varied open channel flow is given by the first order differential equation$$ \dfrac{dy}{dx} = \dfrac{1-e^{-\frac{10}{3} \ln(...
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In a laboratory, a flow experiment is performed over a hydraulic structure. The measured values of discharge and velocity are $\text{0.05}$ $m^{3}/s$ and $\text{0.25}$ $m...
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At the foot of a spillway, water flows at a depth of $23 \: cm$ with a velocity of $8.1 \: m/s$, as shown in the figure.The flow enters as an $M-3$ profile in the long wi...
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Consider the hemi-spherical tank of radius $13 \: m$ as shown in the figure (not drawn to the scale). What is the valume of water (in $m^3$) when the depth of water at th...
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A hydraulic jump occurs in a triangular $\text{(V-shaped)}$ channel with side slopes $1:1$ (vertical to horizontal). The sequent depths are $0.5\: m$ and $1.5\: m$. The f...
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A $4\:m$ wide rectangular channel carries $6\:m^3/s$ of water. The Manning’s ‘$n$’ of the open channel is $0.02$. Considering $g=9.81\:m/s^2$, the critical velocity of fl...
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Uniform flow with velocity $U$ makes an angle $\theta$ with $y$-axis, as shown in the figureThe velocity potential $(\phi)$, is $\pm U(x\sin\theta+y\cos\theta)$$\pm U(y\s...
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A circular water tank of $2\:m$ diameter has a circular orifice of diameter $0.1\:m$ at the bottom. Water enters the tank steadily at a flow rate of $20\:litre/s$ and esc...
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A fluid flowing steadily in a circular pipe of radius $\text{R}$ has a velocity that is everywhere parallel to the axis (centerline) of the pipe. The velocity distributio...
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If water is flowing at the same depth in most hydraulically efficient triangular and rectangular channel sections then the ratio of hydraulic radius of triangular section...
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Water flows at the rate of $12\:m^3/s$ in a $6\:m$ wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is $30\:cm$ (ju...
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In a rectangular channel, the ratio of the velocity head to the flow depth for critical flow condition, is$\dfrac{1}{2}\\$$\dfrac{2}{3} \\$$\dfrac{3}{2} \\$$2$
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A $10$ m wide rectangular channel carries a discharge of $20 \: m^3/s$ under critical condition. Using $g=9.81 m/s^2$, the specific energy (in m, up to two decimal places...
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If a centrifugal pump has an impeller speed of $N$ (in rpm), discharge $Q$ (in $m^3/s$) and the total head $H$ (in $m$), the expression for the specific speed $N_s$ of t...
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Water is pumped at a steady uniform flow rate of $0.01 \: m^3/s$ through a horizontal smooth circular pipe of $100$ mm diameter. Given that the Reynolds number is $800$ a...
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A $3$ m wide rectangular channel carries a flow of $6 \: m^3 /s$. The depth of flow at a section $P$ is $0.5 \: m$. A flat-topped hump is to be placed at the downstream o...
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The pre-jump Froude Number for a particular flow in a horizontal rectangular channel is $10$. The ratio of sequent depths (i.e., post-jump depth to pre-jump depth) is ___...
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A nozzle is so shaped that the average flow velocity changes linearly from $1.5$ m/s at the beginning to $15$ m/s at its end in a distance of $0.375$m. The magnitude of t...
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A hydraulic jump takes place in a frictionless rectangular channel. The pre-jump depth is $y_p$. The alternate and sequent depths corresponding to $y_p$ are $y_a$ and $y_...
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A hydraulic jump is formed in a $2$ m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are $0.8$ , and $1$ m/s, respectivel...
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A short reach of a $2$ m wide rectangular open channel has its bed level rising in the direction of flow at a slope of $1$ in $10000$. It carries a discharge of $4 m^3/s$...
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A rectangular channel of $2.5$ m width is carrying a discharge of $4 \: m^3/s$. Considering that acceleration due to gravity as $9.81 \: m/s^2$, the velocity of flow (in ...
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A horizontal nozzle of $30$ mm diameter discharges a steady jet of water into the atmosphere at a rate of $15$ litres per second. The diameter of inlet to the nozzle is $...
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The potable water is prepared from turbid surface water by adopting the following treatment sequence.Turbid surface water $\rightarrow$ Coagulation $\rightarrow$ Floccula...
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For subcritical flow in an open channel, the control section for gradually varied flow profiles isat the downstream endat the upstream endat both upstream and downstream ...
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Group I contains parameters and Group-II lists methods/instruments.$\begin{array}{ll} \textbf{Group I} & \textbf{Group II} \\ P. \text{ Streamflow velocity} & 1. \text{...
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The top width and the top depth of flow in a triangular channel were measured as $4$ m and $1$ m, respectively. The measured velocities on the centre line at the water su...
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A rectangular open channel of width $5.0$ m is carrying a discharge of $100 \: m^3/s$ The Froude number of the flow is $0.8$. The depth of flow (in m) in the channel is$4...
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