Recent questions in Water Resources Engineering

The culturable command area of a canal is $10.000$ ha. The area grows only two crops – rice in the Kharif season and wheat in the Rabi season. The design discharge of the...

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...

The analysis of a water sample produces the following results:$\begin{array}{|c|c|c|} \hline \text{Ion} & \text{milligram per milli-equivalent} & \text{Concentration} \\ ...

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$

If the path of an irrigation canal is below the bed level of a natural stream, the type of cross-drainage structure provided isAqueductLevel crossingSluice gateSuper pass...

A catchment may be idealised as a rectangle. There are three rain gauges located inside the catchment at arbitrary locations. The average precipitation over the catchment...

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...

A rectangular open channel has a width of $5 \: m$ and a bed slope of $0.001$. For a uniform flow of depth $2 \: m$, the velocity is $2 \: m/s$. The Manning’s roughness c...

The hyetograph of a storm event of duration $140$ minutes is shown in the figure:The infiltration capacity at the start of this event $(t=0)$ is $17 \: mm/hour$, which li...

Two water reservoirs are connected by a siphon (running full) of total length $5000$ m and diameter of $1.10$ m, as shown below (figure not drawn to scale).The inlet leg ...

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...

An inflow hydrograph is routed through a reservoir to produce an outflow hydrograph. The peak flow of the inflow hydrograph is $P_I$ and the time of occurrence of the pea...

An earthen dam of height $H$ is made of cohesive soil whose cohesion and unit weight arc $c$ and $\gamma$ respectively. If the factor of safety against cohesion is $F_c$,...

The command area of a canal grows only one crop, i.e., wheat. The base period of wheat is $120$ days and its total water requirement, $\Delta$, is $40 \: cm$. If the cana...

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...

A confined aquifer of $15 \: m$ constant thickness is sandwiched between two aquicludes as shown in the figure (not drawn to scale).The heads indicated by two piezometers...

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...

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...

The ordinates, $u$, of a $2$-hour unit hydrograph (i.e., for $1$ cm of effective rain), for a catchment, are shown in the table.$$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c...

Profile of a weir on permeable foundation is shown in the figure I and an elementary profile of ‘upstream pile only case’ according to Khosla’s theory is shown in the fig...

Water table of an aquifer drops by $100$ cm over an area of $1000 \: km^2$. The porosity and specific retention of the aquifer material are $25 \%$ and $5\%$ respectively...

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...

The ordinates of a one-hour unit hydrograph at sixty minute interval are $0, 3, 12, 8, 6, 3$ and $0 \: m^3/s$. A two-hour storm of $4$ cm excess rainfall occurred in the ...

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...

A penstock of $1 \: m$ diameter and $5 \: km$ length is used to supply water from a reservoir to an impulse turbine. A nozzle of $15 \: cm$ diameter is fixed at the end o...

A tracer takes $100$ days to travel from Well-$1$ to Well-$2$ which are $100 \: m$ apart. The elevation of water surface in Well-$2$ is $3 \: m$ below that in Well-$1$. A...

The direct runoff hydrograph in response to $5$ cm rainfall excess in a catchment is shown in the figure. The area of the catchment (expressed in hectares) is ________

The type of flood routing (Group I) and the equation(s) used for the purpose (Group II) are given below.$$\begin{array}{ll} \underline{\text{Group I}} & \underline{\text{...

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 ___...

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) ...

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^...

A sector gate is provided on a spillway as shown in the figure. Assuming $g=10 \: m/s^2$, the resultant force per meter length (expressed in kN/m) on the gate will be ___...

A hydraulically efficient trapezoidal channel section has a uniform flow depth of $2$ m. The bed width (expressed in m) of the channel is ______

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...

Which one of the following is NOT present in the acid rain?$HNO_3$$H_2SO_4$$H_2CO_3$$CH_3COOH$

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...

The ordinates of a $2$-hour unit hydrograph for a catchment are given as$$\begin{array}{llllll} \text{Time (h)} & 0 & 1 & 2 & 3 & 4 \\ \text{Ordinate } (m^3/s) & 0 & 5 &...