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GATE 2019 Mechanical National Champion Quiz: Fluid Mechanics (App update required to attempt this test)

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Question 1

In this curve axis X and Y represents (based on the usual standards)

Question 2

The pressure gradient (in N/m2 per m) for the laminar flow of oil with a maximum velocity of 4 m/s between two horizontal parallel fixed plates which are 100 mm apart is ____.
[Given .]

Question 3

The velocity components in x and y direction are given by u = λxy3 - x2y; v = xy2 – 3/4 y4. The value of λ for a possible flow field involving an incompressible fluid is:

Question 4

The barometric pressure at height when measured is 725 mm of Hg. If the pressure at sea level is 760mm of Hg, what should be the height above sea-level in meters? take density of air = 1.2 kg/m2 .

Question 5

Consider the following statements regarding streamline(s):
(i) It is a continuous line such that the tangent at any point on it shows the velocity vector at that point
(ii) There is no flow across streamlines
(iii) is the differential equation of a streamline, where are velocities in directions , respectively
(iv) In an unsteady flow, the path of a particle is a streamline
Which one of the following combinations of the statements is true?

Question 6

In a simple concentric shaft-bearing arrangement, the lubricant flows in the 2 mm gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradients. The diameter of the shaft is 100 mm and its tangential speed is 10 m/s. The dynamic viscosity of the lubricant is 0.1 kg/m.s. The frictional resisting force (in newton) per 100 mm length of the bearing is ______

Question 7

A Prandtl tube (Pitot-static tube with Cv=1) is used to measure the velocity of water. The differential manometer reading is 10 mm of liquid column with a relative density of 10. Assuming g = 9.8 m/s2, the velocity or water (in m/s) is ________.

Question 8

An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is 2 mm at a particular location. In an another case when location is at 50% more distance from the leading edge as compared to previous one, density of fluid is decreased by 20%, dynamic viscosity increases by 40% and velocity of fluid increased by 30%, what will be the boundary layer thickness?
[Consider flow to be laminar in both cases]

Question 9

Water flows through a pipe having an inner radius of 10 mm at the rate or 36 kg/hr at 25 °C The viscosity of water at 25 °C is 0.001 kg/m.s. The Reynolds number of the flow is ______

Question 10

For the inverted manometer, as shown, all fluids are at 20 °C. If P- P= 97 kPa What must be the height H?
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Question 11

A siphon draws water from a reservoir and discharges it out at atmospheric pressure. Assuming ideal fluid and the reservoir is large, the velocity at point P in the siphon tube is:

Question 12

A sphere of 609.5 mm radius floats half submerged in salt water (ρ = 1025 kg/m3). The minimum mass (in kg) of concrete ρ = 2403 kg/m3 that has to be used as an anchor to submerge the sphere completely will be ____________.
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