Engineering Sciences
2017 · Paper 1
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Complete GATE XE 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 25–27 of 175. Imported answers require review unless explicitly marked reviewed.
Question 25
Open questionXE-BNAT2 marksNeeds review
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 __________
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Open questionXE-BNAT2 marksNeeds review
An inviscid incompressible fluid of density 1000 kg/m³ is flowing in a horizontal pipe of tapered cross-section with a flow rate of 4000 cm³/s. The area of cross-section at two different locations ‘A’ and ‘B’ are 10 cm² and 20 cm², respectively. The velocity of the fluid at the location ‘A’ is 4 m/s and pressure is 5 N/m². The pressure (N/m²) at the location ‘B’ would be __________
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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 27
Open questionXE-BNAT2 marksNeeds review
A viscous, incompressible and Newtonian fluid flowing through the main branch of a circular pipe bifurcates into two daughter branches whose radii are 4 cm and 2 cm, respectively. The flow in both the daughter branches are laminar and fully developed. If the pressure gradients in both the daughter branches are same, then the fraction of total volumetric flow rate (rounded off to the second decimal place) coming out from the branch with 4 cm diameter is __________
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