Engineering Sciences
2019 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE XE 2019 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 40–42 of 175. Imported answers require review unless explicitly marked reviewed.
Question 19
Open questionXE-BNAT2 marksNeeds review
A uniform flow with a velocity of 2 m/s in the
-direction approaches a line source placed on the
-axis at a distance of 0.1 m from the origin. If the origin is the stagnation point in the resulting flow, the strength of the source (in
, rounded off to 2 decimal places) is ______.Log in to check the answer
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Open questionXE-BNAT2 marksNeeds review
In a steady incompressible flow of a fluid past a smooth stationary sphere, the drag force
depends on the flow velocity
, diameter
, and the dynamic viscosity
and density
of the fluid. Experiments are conducted on the same sphere at the same flow velocity using two different fluids. The density of the second fluid is two times that of the first fluid. The dynamic viscosity of the second fluid is
times that of the first fluid. If the non-dimensional force
remains the same in both the experiments, the value of
is ______.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 21
Open questionXE-BNAT2 marksNeeds review
An incompressible fluid flows past a flat plate as shown in the figure below with a uniform inlet velocity profile
and a parabolic exit velocity profile
, where
is the component of velocity parallel to the wall,
is the normal distance from the plate and
. If the volume flow rate across the top surface of the control volume (CV) is
per unit width (perpendicular to the
-
plane) of the plate, the value of
(rounded off to 2 decimal places) is ______. 
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