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GATE ME 2019: Fluid Mechanics Rapid Quiz-3
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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
Consider two hydraulic turbines having identical specific speed and effective head at the inlet. If the speed ratio (N1/N2) of the two turbines is 2, then the respective power ratio (P1/P2) is ________
Question 3
For Laminar flow of an oil having dynamic viscosity μ = 1.67 Pa.s in a 0.2m diameter pipe, the velocity distribution is parabolic with a maximum point velocity of 2.5 m/s at the centre of the pipe. Calculate the shearing stresses at the pipe wall.
Question 4
1.80 m wide and 5 m long plate moves through a stationary air of density 1.22 kg/m3 and viscosity 1.8×10-4 Poise at a velocity of 1.75 m/s parallel to its length. The drag force on one side of the plate assuming turbulent flow conditions is_______?
Question 5
The gap between a moving circular plate and a stationary surface is being continuously reduced, as the circular plate comes down at a uniform speed V towards the stationary bottom surface, as shown in the figure. In the process, the fluid contained between the two plates flows out radially. The fluid is assumed to be incompressible and inviscid.
The radial velocity vr at any radius r, when the gap width is h, is
Question 6
Consider steady, incompressible and irrotational flow through a reducer in a horizontal pipe where the diameter is reduced from 20 cm to 10 cm. The pressure in the 20 cm pipe just upstream of the reducer is 150 kPa. The fluid has a vapour pressure of 50 kPa and a specific weight of 5 kN/m3. Neglecting frictional effects, the maximum discharge (in m3/s) that can pass through the reducer without causing cavitation is
Question 7
A venturimeter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa then, neglecting frictional losses, the flow velocity is
Question 8
The arrangement shown in the figure measures the velocity V of a gas of density 1 kg/m3 flowing through a pipe. The acceleration due to gravity is 9.81 m/s2. If the manometric fluid is water (density 1000 kg/m3) and the velocity V is 20 m/s, the differential head h (in mm) between the two arms of the manometer is _____
Question 9
The velocity profile in fully developed laminar flow in a pipe of diameter D is given by u = u0(1 − 4r2/ D2) , where r is the radial distance from the center. If the viscosity of the fluid is F, the pressure drop across a length L of the pipe is:
Question 10
A smooth pipe of diameter 200mm carries water. The pressure in the pipe at section S1 (elevation: 10m) is 50kPa. At Section S2 (elevation: 12m) the pressure is 20kPa and velocity is 2ms-1. Density of water is 1000kgm-3 and acceleration due to gravity is 9.8ms-2. Which of the following is TRUE?
Question 11
A pipe of 0.3 m diameter conveying 300 l/s of water has a right-angled bend in a horizontal plane. The resultant force exerted on bend if pressure at inlet and outlet of the bend are 24.525 N/cm2 and 23.544 N/cm2 is ___ N.
Question 12
A 400 m long horizontal pipe is to deliver 1000 kg of oil (s = 0.9, ν = 0.0002 m2/s) per 60 seconds. If the head loss is not to exceed 800 cm of oil, the pipe diameter is _____ m.
[Friction factor for laminar flow : f = 64/Re]
[Friction factor for laminar flow : f = 64/Re]
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