GATE2017 ME-1: 6

Arjun asked Feb 26, 2017 • recategorized Mar 5, 2021 by Lakshman Bhaiya

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 until the flow is fully developed.
It is constant and is equal to the average velocity in the fully developed region.
It decreases until the flow is fully developed.
It is constant but is always lower than the average velocity in the fully developed region.

Arjun asked Feb 26, 2017 • recategorized Mar 5, 2021 by Lakshman Bhaiya

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Arjun asked Feb 26, 2017

GATE2017 ME-1: 8
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 ______.

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Arjun asked Feb 24, 2017

GATE2015-1-6
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 $4$ $16$ $32$ $64$

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Arjun asked Feb 26, 2017

GATE2017 ME-1: 32
For a steady flow, the velocity field is $\vec{V}=(-x^{2}+3y)\hat{i}+(2xy)\hat{j}$. The magnitude of the acceleration of a particle at $(1, -1)$ is $2$ $1$ $2\sqrt{5}$ $0$

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GATE2017 ME-1: 31
Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form, $f=K(Re)^{-n}$, where ... $\left ( \dfrac{d_{2}}{d_{1}} \right )^{(5+n)}$

Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length an...

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GATE2017 ME-1: 30
The velocity profile inside the boundary layer for flow over a flat plate is given as $\dfrac{u}{U_{\infty }}= \sin \left ( \dfrac{\Pi }{2}\dfrac{y}{\delta } \right )$, where $U_{\infty}$ is the free stream velocity and $\delta$ is the local boundary layer thickness. If $\delta^{*}$ is ... $\dfrac{2}{\Pi } \\$ $1-\dfrac{2}{\Pi } \\$ $1+\dfrac{2}{\Pi } \\$ $0$

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