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velocity profile

GATE Mechanical Engineering · Fluid Mechanics - Viscous Flow · 1987-2025

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2025 PYQ

For a fully-developed pipe flow, which of the following options is/are correct?

mediumanswer keybasic explanation
2019 Q45

Two immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, 2 m apart as shown bel...

mediumanswer key
2018 Q6

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 fol...

mediumanswer key
2017 PYQ

The velocity profile inside the boundary layer for flow over a flat plate is given as $${u \over {{U_\infty }}} = \sin \left( {{\pi \over 2}\,{y \over \delta }} \right),$$ where $$...

easyanswer key
2016 PYQ

Consider a fully developed steady laminar flow of an incompressible fluid with viscosity $$\mu $$ through a circular pipe of radius $$R.$$ Given that the velocity at a radial locat...

mediumelite explanation
2015 PYQ

For a fully developed laminar flow of water (dynamic viscosity $$0.001$$ $$Pa$$-s) through a pipe of radius $$5$$ $$cm,$$ the axial pressure gradient is $$-10$$ $$Pa/m$$. The magni...

medium
2006 PYQ

The velocity profile in fully developed laminar flow in a pipe of diameter $$D$$ is given by $$u = {u_0}\left( {1 - 4{r^2}/{D^2}} \right),$$ where $$r$$ is the radial distance from...

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2004 PYQ

For air flow over a flat plate, velocity $$(U)$$ and boundary layer thickness $$\left( \delta \right)$$ can be expressed respectively, as $$${U \over {{U_\infty }}} = {3 \over 2}{y...

mediumanswer key
1994 PYQ

For a fully developed laminar flow through a pipe, the ratio of the maximum velocity to the average velocity is ___________ (fill in the blank)

easy
1987 PYQ

In the case of turbulent flow of a fluid through a circular tube (as compared to the case of laminar flow at the same flow rate) the maximum velocity is ...................., shear...

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