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GATE 2019 National Champion Test: Fluid Mechanics & Hydraulics (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

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 7

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 8

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 9

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 ____________.

Question 10

A non-Newtonian fluid is flowing in a floor having height 5mm and with a free stream velocity of 0.5 m/s. For such a fluid the yield stress is 38 Mpa. The exponent index n=1.32 and fluid coefficient A=1.6. The shear stress of the fluid in Mpa is

Question 11

An overflow spillway has its crest at an elevation 140.00 m and a horizontal apron at an elevation of 105.00 m on the downstream side. The prejump depth required to form a hydraulic jump when the elevation of the energy line just upstream of the spillway crest is 143.00 m is _________m.
[Assume Cd = 0.735 for the spillway and neglect energy loss due to flow over the spillway]

Question 12

A ship's model of scale 1 : 100 had a wave resistance of 1 kg at its design speed. The corresponding wave resistance in prototype will be
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Jan 3ESE & GATE CE