Recent questions and answers in Fluid Mechanics

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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...
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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...
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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...
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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 ...
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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. ...
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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}...
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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}...
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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...
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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, ...
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​​​​​For a flowing fluid, a dimensionless combination of velocity $(V)$, length scale $(l)$, and acceleration due to gravity $(g)$ would be$\frac{V^{2}}{g l}$$\frac{V g}{...
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A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of $\text{20 cm}$ diameter.Assume $g=9.8\text{ m/s}^{2}$...
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A round-bottom triangular lined canal is to be laid at a slope of $1$ in $1500$, to carry a discharge of $25 \mathrm{~m}^{3} / \mathrm{s}$. The side slopes of the canal c...
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A rectangular channel is $4.0 \mathrm{~m}$ wide and carries a discharge of $2.0 \mathrm{~m}^{3} / \mathrm{s}$ with a depth of $0.4 \mathrm{~m}$. The channel transitions t...
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The drag force, $F_{D}$ on a sphere due to a fluid flowing past the sphere is a function of viscosity, $\mu$, the mass density, $\rho$, the velocity of flow, $V$, and the...
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Consider a velocity vector, $\vec{V}$ in $(x, y, z)$ coordinates given below. Pick one or more CORRECT statements(s) from the choices given below.$$\vec{V}=u \vec{x}+v \v...
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A $5.0 \: \mathrm{m}$ wide rectangular channel carries a discharge of $10 \mathrm{~m}^{3} / \mathrm{s}$ at a depth of $1.5 \: \mathrm{m}$ under uniform flow. To produce c...
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The critical flow condition in a channel is given by ____________.[Note: $\alpha$ - kinetic energy correction factor; $Q$ - discharge; $A_c$ - cross-sectional area of flo...
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​​​​For the Bernoulli's equation to be applicable in a fluid flow situation, which of the following conditions is/are to be satisfied:Fluid should be frictionlessFluid sh...
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A lake has a maximum depth of $\text{60 m}$. If the mean atmospheric pressure in the lake region is $\text{91 kPa}$ and the unit weight of the lake water is $\text{9790 N...
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Consider flow in a long and very wide rectangular open channel. Width of the channel can be considered as infinity compared to the depth of flow. Uniform flow depth is $1...
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A hydraulic jump occurs in an open channel when the slope of the channel changes from $\_\_\_\_\_\_\_\_\_\_$MILD slope to STEEP slopeSTEEP slope to MILD slopeMILD slope t...
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A spillway has unit discharge of $7.5 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$. The flow depth at the downstream horizontal apron is $0.5 \mathrm{~m}$. The tail water d...
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A $5 \mathrm{~m} \times 5 \mathrm{~m}$ closed tank of $10 \mathrm{~m}$ height contains water and oil, and is connected to an overhead water reservoir as shown in the figu...
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​​​​The following figure shows a plot between shear stress and velocity gradient for materials/fluids $\text{P, Q, R, S}$, and $\text{T}$.Which one of the following optio...
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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...
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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...
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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...
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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...
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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...
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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...
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​​​​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...
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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...
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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...
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A compound symmetrical open channel section as shown in the figure has a maximum of ______________ critical depth(s).$3$$2$$1$$4$
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Which of the following statements is/are TRUE?The thickness of a turbulent boundary layer on a flat plate kept parallel to the flow direction is proportional to the squar...
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The cross-section of a small river is sub-divided into seven segments of width $1.5 \mathrm{~m}$ each. The average depth, and velocity at different depths were measured d...
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When a supercritical stream enters a mild-sloped $(\mathrm{M})$ channel section, the type of flow profile would become _________.$\mathrm{M}_{1}$$\mathrm{M}_{2}$ $\mathrm...
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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...
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A jet of water having a velocity of $20 \mathrm{~m} / \mathrm{s}$ strikes a series of plates fixed radially on a wheel revolving in the same direction as the jet at $15 \...
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A hydraulic jump occurs in a $1.0 \mathrm{~m}$ wide horizontal, frictionless, rectangular channel, with a pre-jump depth of $0.2 \mathrm{~m}$ and a post-jump depth of $1....
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