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Recent questions tagged flow-through-pipes

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Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter $\text{D}$. We know that the velocity profile forms a paraboloid about the pipe centre line, given by: $V=-C\left(r^{2}-\dfrac{D^{2}}{4}\right) m/s$, where $C$ is a ... $\text{A-B}$, as shown in the figure, is proportional to $D^{n}$. The value of $n$ is ________.
asked Feb 19, 2020 in Fluid Mechanics jothee 4.9k points
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Water enters a circular pipe of length $L=5.0$ m and diameter $D=0.20$m with Reynolds number $Re_D=500$. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit. The Reynolds number at the exit of the pipe is _________
asked Feb 9, 2019 in Fluid Mechanics Arjun 24.6k points
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Water flows through two different pipes $A$ and $B$ of the same circular cross-section but at different flow rates. The length of pipe $A$ is $1.0 \: m$ and that of pipe $B$ is $2.0 \: m$. The flow in both the pipes is laminar and fully developed ... head loss across the length of the pipes is same, the ratio of volume flow rates $Q_B/Q_A$ is __________ (round off to two decimal places).
asked Feb 9, 2019 in Fluid Mechanics Arjun 24.6k points
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Water flowing at the rate of $1$ kg/s through a system is heated using an electric heater such that the specific enthalpy of the water increases by $2.50 \: kJ/kg$ and the specific entropy increases by $0.007 \: kJ/kg \cdot K$. The power input to the ... . Assuming an ambient temperature of $300 \: K$, the irreversibility rate of the system is __________ $kW$ (round off to two decimal places).
asked Feb 9, 2019 in Fluid Mechanics Arjun 24.6k points
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For a hydrodynamically and thermally fully developed laminar flow through a circular pipe of constant cross-section, the Nusselt number at constant wall heat flux $(Nu_q)$ and that at constant wall temperature $(Nu_T)$ are related as $Nu_q > Nu_T$ $Nu_q < Nu_T$ $Nu_q = Nu_T$ $Nu_q = (Nu_T)^2$
asked Feb 9, 2019 in Fluid Mechanics Arjun 24.6k points
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Water flows through a pipe with a velocity given by $\overrightarrow{V}= \bigg( \dfrac{4}{t}+x+y \bigg) \hat{j} \: m/s$, where $\hat{j}$ is the unit vector in the $y$ direction, $t(>0)$ is in seconds, and $x$ and $y$ are in meters. The magnitude of total acceleration at the point $(x,y)=(1,1)$ at $t=2\: s$ is ______$m/s^2$
asked Feb 9, 2019 in Fluid Mechanics Arjun 24.6k points
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The wall of a constant diameter pipe of length $1 \: m$ is heated uniformly with flux $q''$ by wrapping a heater coil around it. The flow at the inlet to the pipe is hydrodynamically fully developed. The fluid is incompressible and the flow is assumed to be laminar and steady all ... Among the location P, Q and R, the flow is thermally developed at P, Q and R P and Q only Q and R only R only
asked Feb 9, 2019 in Fluid Mechanics Arjun 24.6k points
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A $60$ mm-diameter water jet strikes a plate containing a hole of $40$ mm diameter as shown in the figure. Part of the jet passes through the hole horizontally and the remaining is deflected vertically. The density of water is $1000 kg/m^{3}$. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is _________.
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
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The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. If the manometric fluid is water (density $1000 \: kg/m^{3}$) and the velocity $V$ is $20 m/s$, the differential head $h$ (in mm) between the two arms of the manometer is __________.
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
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Water (density $= 1000 kg/m^{3}$) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of $1 kg/s$. If the pressure drop across the pipe is $100$ KPa, the minimum power required to pump the water across the pipe, in watts, is ______.
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
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For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE? It increases ... the flow is fully developed. It is constant but is always lower than the average velocity in the fully developed region.
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
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Consider a fully developed steady laminar flow of an incompressible fluid with viscosity $μ$ through a circular pipe of radius $R$. Given that the velocity at a radial location of $R/2$ from the centerline of the pipe is $U_1$, the shear stress at the wall is $KμU_1$/$R$, where $K$ is __________
asked Feb 24, 2017 in Fluid Mechanics Arjun 24.6k points
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Three parallel pipes connected at the two ends have flow-rates $Q_1$, $Q_2$ and $Q_3$ respectively, and the corresponding frictional head losses are $h_{L1}$, $h_{L2}$ and $h_{L3}$ respectively. The correct expressions for total flow rate $(Q)$ and frictional head loss across the two ends ($h_L$ ... $Q = Q_1 = Q_2 = Q_3; h_L = h_{L1} = h_{L2} = h_{L3}$
asked Feb 24, 2017 in Fluid Mechanics Arjun 24.6k points
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The head loss for a laminar incompressible flow through a horizontal circular pipe is $h_1$. Pipe length and fluid remaining the same, if the average flow velocity doubles and the pipe diameter reduces to half its previous value, the head loss is $h_2$. The ratio $h_2$/$h_1$ is $1$ $4$ $8$ $16$
asked Feb 24, 2017 in Fluid Mechanics Arjun 24.6k points
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Water $(\rho = 1000 \: kg/m^3)$ flows through a venturimeter with inlet diameter $80 \: mm$ and throat diameter $40 \: mm$. The inlet and throat gauge pressures are measured to be $400 \: kPa$ and $130 \: kPa$ respectively. Assuming the venturimeter to be horizontal and neglecting friction, the inlet velocity (in $m/s$) is _______
asked Feb 24, 2017 in Fluid Mechanics Arjun 24.6k points
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For flow through a pipe of radius $R$, the velocity and temperature distribution are as follows: $u(r,x)=C_1,$, and $T(r,x)=C_2[1- \left (\dfrac{r}{R} \right )^3]$ where $C_1$ and $C_2$ ... the mean velocity of flow. The value of $T_m$ is $\dfrac{0.5C_2}{U_m} \\$ $0.5C_2 \\$ $0.6C_2 \\$ $\dfrac{0.6C_2}{U_m}$
asked Feb 24, 2017 in Fluid Mechanics Arjun 24.6k points
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Consider fully developed flow in a circular pipe with negligible entrance length effects. Assuming the mass flow rate, density and friction factor to be constant, if the length of the pipe is doubled and the diameter is halved, the head loss due to friction will increase by a factor of $4$ $16$ $32$ $64$
asked Feb 24, 2017 in Fluid Mechanics Arjun 24.6k points
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Water flows through a $10$ $mm$ diameter and $250$ $m$ long smooth pipe at an average velocity of $0.1 m/s$. The density and the viscosity of water are $997$ $kg/m^3$ and $855×10^−6$ $N.s/m^2$, respectively. Assuming fully-developed flow, the pressure drop (in $Pa$) in the pipe is _______
asked Feb 19, 2017 in Fluid Mechanics Arjun 24.6k points
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Water flows through a pipe having an inner radius of $10 mm$ at the rate of $36 \: kg/hr$ at $25^ \circ C$. The viscosity of water at $25^ \circ C$ is $0.001 \: kg/m.s$. The Reynolds number of the flow is _______
asked Feb 19, 2017 in Fluid Mechanics Arjun 24.6k points
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An ideal water jet with volume flow rate of $0.05$ $m^3$/$s$ strikes a flat plate placed normal to its path and exerts a force of $1000$ $N$. Considering the density of water as $1000kg$/$m^3$,the diameter(in $mm$) of the water jet is _______
asked Feb 19, 2017 in Fluid Mechanics Arjun 24.6k points
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Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is $20$ $mm$ with uniform velocity of $2$ $m/s$. Acceleration due to gravity is $9.81$ $m/s^2$. Assuming steady, inviscid flow, constant atmospheric pressure everywhere and ... surface tension effects, the diameter in mm of the stream $0.5$ $m$ below the tap is approximately $10$ $15$ $20$ $25$
asked Feb 19, 2017 in Fluid Mechanics piyag476 1.4k points
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