Complete GATE XE 2023 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 31–33 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 11 of 59

Question 31

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Consider steady fully-developed incompressible flow of a Newtonian fluid between two infinite parallel flat plates. The plates move in the opposite directions, as shown in the figure. In the absence of body force and pressure gradient, the ratio of shear stress at the top surface (

) to that at the bottom surface (

) is
Diagram for Engineering Sciences question 31

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Question 32

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XE-BMCQ2 marksNeeds review
A two-dimensional incompressible flow field is defined as,

where,

and

are constants. The dynamic viscosity of the Newtonian fluid is

. In the absence of body force, which among the following expressions represents the pressure gradient at the location

in the concerned flow field?
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Question 33

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XE-BMCQ2 marksNeeds review
For a potential flow, the fluid velocity is given by

. The slope of the potential line at

is
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