Recent questions tagged fluid-mechanics

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 cross section of a $0.5$ m wide vertical gate holding water and oil is shown in the figure. The unit weights of water and oil are $10 ~\mathrm{kN} / \mathrm{m}^{3}$ a...

A centrifugal pump is delivering water from an underground tank to an overhead reservoir against a static head of $35$ m through a $2$ km long, $250$ mm diameter pipe. Th...

The flow depth for a discharge of $10 \mathrm{~m}^{3} / \mathrm{s}$ in a wide rectangular channel is $2.0 \text{ m}$. Assume that the flow is uniform.If the discharge is ...

Two reservoirs having different water levels are connected by two long parallel pipelines of same length and same material but having diameters of $600$ mm and $400$ mm. ...

The settling velocity of inorganic particles in the sedimentation tank of a water treatment plant is governed byDarcy's lawStokes' lawDupuit's lawBernoulli's law

Gradually Varied Flow (GVF) profiles in open channels given in Column $1$ are to be matched with the water surface slopes in Column $2$ in the table below.\[\begin{array}...

For a hydraulic jump formed in a rectangular horizontal channel, the sequent depth ratio is $2$. The Froude number of supercritical stream is$\sqrt{3}$$\sqrt{5}$$\sqrt{6}...

In a laminar flow of a Newtonian fluid through a circular pipe of radius $5 \text{ cm}$, the maximum velocity is found to be $2 \mathrm{~m} / \mathrm{s}$. The velocity (i...

A wide unlined channel carries sediment-free water. The depth of water is $1$ m. The specific weight of water is $10 \mathrm{~kN} / \mathrm{m}^{3}$. To prevent scouring, ...

Consider steady flow of water in the series pipe system shown below, with specified discharge. The diameters of Pipes $A$ and $B$ are $2 \: \mathrm{m}$ and $1\: \mathrm{m...

The shaft of a $6 \: \mathrm{m}$ wide gate in the figure will fail at a moment of $3924 \: \mathrm{kN} . \mathrm{m}$ about the hinge $P$. The maximum value of water depth...

A settling chamber is used for the removal of discrete particulate matter from air with following conditions. Horizontal velocity of air $=0.2 \mathrm{~m} / \mathrm{s}$; ...

​​​​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...

A $2 \mathrm{~m}$ wide rectangular channel is carrying a discharge of $30 \mathrm{~m}^{3} / \mathrm{s}$ at a bed slope of $1$ in $300$. Assuming the energy correction fac...

A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: $1.50$), silica sand (specific gravity: $2.60$), and ilmenite sand (specific gravi...

A $500 \mathrm{~m}$ long water distribution pipeline $\text{P}$ with diameter $1.0 \mathrm{~m}$, is used to convey $0.1 \mathrm{~m}^{3} / \mathrm{s}$ of flow. A new pipel...

A $2 \mathrm{~m} \times 1.5 \mathrm{~m}$ tank of $6 \mathrm{~m}$ height is provided with a $100 \mathrm{~mm}$ diameter orifice at the center of its base. The orifice is p...

​​​​A flow velocity field $\vec{V}: \vec{V}(x, y)$ for a fluid is represented by\[\vec{V}=3 \hat{\imath}+(5 x) \hat{\jmath}\]In the context of the fluid and the flow, whi...

A $2 \mathrm{~m} \times 2 \mathrm{~m}$ tank of $3 \mathrm{~m}$ height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. A...

A standard round bottom triangular canal section as shown in the figure has a bed slope of $1$ in $200$. Consider the Chezy's coefficient as $150 \mathrm{~m}^{1 / 2} / \m...

The pressure in a pipe at $\mathrm{X}$ is to be measured by an open manometer as shown in figure. Fluid $\mathrm{A}$ is oil with a specific gravity of 0.8 and Fluid $\mat...

A compound symmetrical open channel section as shown in the figure has a maximum of ______________ critical depth(s).$3$$2$$1$$4$

Which of the following statements is/are TRUE?The thickness of a turbulent boundary layer on a flat plate kept parallel to the flow direction is proportional to the squar...

When a supercritical stream enters a mild-sloped $(\mathrm{M})$ channel section, the type of flow profile would become _________.$\mathrm{M}_{1}$$\mathrm{M}_{2}$ $\mathrm...

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...