Recent questions in Water Resources Engineering

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Group I contains three broad classes of irrigation supply canal outlets, Group II presents hydraulic performance attributes.$$\begin{array}{|ll|ll|} \hline {} & \text{Gro...
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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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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...
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An effective rainfall of $2$-hour duration produced of flood hydrograph peak of $200 \: m^3/s$. The flood hydrograph has a base flow of $20 \: m^3/s$. If the spatial aver...
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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...
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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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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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The relationship between porosity $(\eta)$, specific yield $(S_y)$ and specific retention $(S_\tau)$ of an unconfined aquifer is:$S_y+S_\tau = \eta$$S_y+ \eta = S_\tau$$S...
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A groundwater sample was found to contain $500$ mg/L total dissolved solids (TDS). TDS (in $\%$) present in the sample is ________.
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A field channel has cultivable commanded are of $2000$ hectares. The intensities of irrigation for gram and wheat are $30 \%$ and $50\%$ respectively. Gram has a kor peri...
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A triangular gate with a base width of $2$ m and a height of $1.5$ m lies in a vertical plane. The top vertex of the gate is $1.5$ m below the surface of a tank which con...
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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...
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The average surface area of a reservoir in the month of June is $20 \: km^2$. In the same month, the average rate of inflow is $10 \: m^3/s$, outflow rate is $15 \: m^3/s...
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A pipe of $0.7$ m diameter has a length of $6$ km and connects two reservoirs A and B. The water level in reservoir A is at an elevation $30$ m above the water level in r...
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Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity?Seepage velocity is always smaller than discharge velocitySeepa...
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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...
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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 ...
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A circular pipe has a diameter of $1$ m, bed slope of $1$ in $1000$, and Manning’s roughness coefficient equal to $0.01$. It may be treated as an open channel flow when i...
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Two reservoirs are connected through a $930$ m long, $0.3$ m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient $=0.5$) and the valve is ...
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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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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...
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In a catchment, there are four rain-gauge stations, $P, Q, R$, and $S$. Normal annual precipitation values at these stations are $780$ mm, $850$ mm, $920$ mm, and $980$ m...
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The $4$-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S – curve (in $m^3/s$) derived from this hydrograph?$$\b...
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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...
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Irrigation water is to be provided to a crop in a field to bring the moisture content of the soil from the existing $18 \%$ to the field capacity of the soil at $28 \%$. ...
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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 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...
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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 Muskingum model of routing a flood through a stream reach is expressed as $O_2 =K_0I_2+K_1I_1+K_2O_1$, where $K_0$, $K_1$ and $K_2$ are the routing coefficients for t...
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An isolated $3-h$ rainfall event on a small catchment produces a hydrograph peak and point of inflection on the falling limb of the hydrograph at $7$ hours and $8.5$ hour...
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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} ...
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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)...
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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...
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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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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 $d_2$...
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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 ...
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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...