Recent questions tagged water-resources-engineering

Width (in m) of a rectangular channel required to carry a discharge of $96 \mathrm{~m}^{3} / \mathrm{s}$ at a critical depth of $9.8 \text{ m}$ is $\_\_\_\_$ (rounded off...

The intensity-duration relationship for a rainfall on a rectangular plot $\text{ABCD}$ of area $7$ \text{ha} ($1 \mathrm{~ha}=10^{4} \mathrm{~m}^{2}$) can be modelled by ...

​​​​Lacey's regime equations, followed in India for making scour calculations while designing hydraulic structures across alluvial channels, are given below. Regarding th...

A hydraulic jump is formed in a $5 \: \mathrm{m}$ wide rectangular channel, which has a horizontal bed and is carrying a discharge of $15 \mathrm{~m}^{3} / \mathrm{s}$. T...

Identify the cross-drainage work in the figure. Super passage Aqueduct Siphon aquedutLevel crossing

The cross-section of a small river is sub-divided into seven segments of width $1.5 \mathrm{~m}$ each. The average depth, and velocity at different depths were measured d...

A system of seven river segments is shown in the schematic diagram. The $\mathrm{R}_{\mathrm{i}}$ 's, $\mathrm{Q}_{\mathrm{i}}$ 's, and $\mathrm{C}_{\mathrm{i}}$ 's $(\ma...

A canal supplies water to an area growing wheat over $100$ hectares. The duration between the first and last watering is $120$ days, and the total depth of water required...

A very wide rectangular channel carries a discharge (Q) of $70 \mathrm{~m}^3 / \mathrm{s}$ per meter width. Its bed slope changes from $0.0001$ to $0.0009$ at a point $\m...

Match $\textbf{Column X}$ and $\textbf{Column Y}:$$$\begin{array} {|l|l|} \hline \quad \textbf{Column X} & \qquad \textbf{Column Y} \\\hline \text{(P) Horton equation} ...

During a particular stage of the growth of a crop, the consumptive use of water is $2.8$ $\text{mm}$/day. The amount of water available in the soil is $50\%$ of the maxim...

A two-hour duration storm event with uniform excess rainfall of $3\:cm$ occurred on a watershed. The ordinates of streamflow hydrograph resulting from this event are give...

An amount of $35.67\:mg\:HCl$ is added to distilled water and the total solution volume is made to one litre. The atomic weights of $H$ and $Cl$ are $1$ and $35.5$, resp...

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...

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/...

Muskingum method is used inhydrologic reservoir routinghydrologic channel routinghydraulic channel routinghydraulic reservoir routing

Superpassage is a canal cross-drainage structure in whichnatural stream water flows with free surface below a canalnatural stream water flows under pressure below a canal...

A triangular direct runoff hydrograph due to a storm has a time base of $90$ hours. The peak flow of $60\: m^3/s$ occurs at $20$ hours from the start of the storm. The ar...

The velocity components in the $x$ and $y$ directions for an incompressible flow are given as $u = (-5 + 6x)$ and $v = -(9+6y)$, respectively. The equation of the streaml...

Alkalinity of water, in equivalent/litre (eq/litre), is given by$${\{HC{O_3}^-}\} + 2{\{C{O_3}^{2-}}\} + {\{OH^-\}}\ –\ {\{H^+\}}$$where, $\{\ \ \}$ represents concentr...

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...

During a storm event in a certain period, the rainfall intensity is $3.5$ cm/hour and the $\Phi$-index is $1.5$ cm/hour. The intensity of effective rainfall (in cm/hour, ...

The infiltration capacity of a soil follows the Horton’s exponential model, $f=c_1+c_2e^{-kt}$. During an experiment, the initial infiltration capacity was observed to be...

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 $1$ m wide rectangular channel carries a discharge of $2 \: m^3 /s$. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that ...

A catchment is idealized as a $25 \: km \times 25 \: km$ square. It has five rain gauges, one at each corner and one at the corner, as shown in the figure.During a month,...

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...

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 $F_c$,...