GATE XE Differential Analysis PYQs & Answers — Page 6

Questions 51–53 of 53. Imported answers require independent review unless marked reviewed.

Two infinite parallel horizontal plates are separated by a small gap (

mm) as shown in figure. The bottom plate is fixed and the gap between the plates is filled with oil having density of 890 kg/m³ and kinematic viscosity of 0.0003 m²/s. A shear flow is induced by moving the upper plate with a velocity of 5 m/s. Assume, linear velocity profile between the plates and the oil to be a Newtonian fluid. The shear stress (N/m²) at the upper plate is __________

Diagram for Engineering Sciences question 21

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The velocity field in Cartesian coordinate system for a two-dimensional steady flow is given as:

where,

and

are constants. Which one of the following expressions represents the acceleration field (

) for this flow?

Your answerChoose one option.

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Consider steady laminar flow of an incompressible Newtonian fluid between two infinite parallel plates, separated by a distance of 1 m, as shown in the figure. The bottom plate is stationary but the top one is moving in positive

-direction with a velocity of 3 m/s. The fluid pressure gradient in the flow direction is:

. If the viscosity of the fluid is 1 kg m⁻¹ s⁻¹ then the distance of the point of maximum velocity (in meters, rounded off to the second decimal place) from the bottom plate would be __________

Diagram for Engineering Sciences question 25

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GATE XE Differential Analysis PYQs

Question 21

Question 23

Question 25