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GATE 2020: Fluid Mechanics and Machinery Rapid Quiz 2
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Question 1
A piston of 7.95 cm diameter and 30 cm long works in a cylinder of 8 cm diameter. The annular space of the piston is filled with an oil of viscosity 3 poise. If an axial load of 18 N is applied to piston, the speed of piston will be
Question 2
A cylindrical vessel of 1 m diameter has water in it to a height of 2 m. Oil of relative density 0.75 is kept over the water column for another 1 m. Above the oil, a dead weight of 7 kN, base diameter 1 m is placed. The total hydrostatic force and the ‘centre’ of pressure on a gate 30 cm in diameter placed along the vertical surface of the vessel such that the lowest point of the gate is on the base of the vessel will be?
Question 3
Water is coming out to the atmosphere from a converging channel with a velocity of 5 m/s as shown in the figure. At section A, a cylinder of 10 cm diameter containing a friction-less piston attached to a spring having spring constant 500 N/m is connected. The cross-section diameter of the channel at A and B is 2 m and 1 m respectively. Due to the flow the spring is compressed by an amount of
Question 4
Consider laminar flow of water over a flat plate of length 1 m. The ratio of boundary layer thickness at point B and A is 
. Moreover the sum of the distances of points A and B from the leading edge is equal to length of the plate. The distances 
and 
from leading edge will be Moreover, Also,
Question 5
A centrifugal pump is designed to handle a head of 60m under atmospheric condition. If vapour pressure of the water is 4.25 kPa at atmospheric condition and Thoma’s cavitation factor is 0.12, then NPSH will be (in m)
Question 6
The Newtonian fluid has the following velocity fields: 
. The rate of shear deformation at εyz the point X=–3, Y=–2 and Z=3 for the given flow is ___________.
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