Chemical Engineering
GATE CH concept:velocity-profiles PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:velocity-profiles
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–3 of 3. Imported answers require independent review unless marked reviewed.
Question 65
Open questionCHNAT2 marksNeeds review
The velocity profile for a fully developed laminar flow of an incompressible Newtonian fluid, at steady state, through a horizontal infinitely wide and long slit of gap 0.01 m is given by the following equation.
where y is the vertical distance measured from the center of the slit. The average velocity of the fluid (in m s⁻¹) is __________ (rounded off to the nearest integer).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 39
Open questionCHMCQ2 marksNeeds review
Consider a horizontal rod of radius
(
) in a stationary pipe of radius
. The rod is pulled coaxially at a constant velocity
as shown in the figure. The annular region is filled with a Newtonian incompressible fluid of viscosity
. The steady state fully developed axial velocity profile in the fluid is given by
, where
is the radial coordinate. Ignoring end effects, the magnitude of the pulling force per unit rod length is
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 36
Open questionCHMCQ2 marksNeeds review
A student performs a flow experiment with Bingham Plastic under fully developed laminar flow conditions in a tube of radius 0.01 m with a pressure drop (
) of 10 kPa over tube length (
) of 1.0 m. The velocity profile is flat for
and parabolic for
, as shown in the figure.
Consider
and
as the radial and axial directions, and the shear stress is finite as
approaches zero. A force balance results in the following equation
where
is the shear stress. If
is 0.001 m, then the magnitude of yield stress for this Bingham Plastic (in Pa) isYour answerChoose one option.
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