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GATE ME: Fluid Mechanics & Fluid Machinery Champion Quiz 2

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Question 1

A fluid is undergoing "incompressible" flow. Which among the following is correct?

Question 2

For a floating body, buoyant force acts at the

Question 3

The stream function in a flow field is given by In the same flow field, what is the velocity at a point (2, 1)?

Question 4

A smooth flat plate with a sharp leading edge is placed along a gas stream flowing at U=10 m/s. The thickness of the boundary layer at section r-s=10 mm, the breadth of the plate is 1m (onto the paper) and the density of the gas . Assume that the boundary layer is thin, two dimensional, and follows a linear velocity distribution, at the section r-s, where y is the height from plate.
The integrated drag force (in N) on the plate, between point p & s is:

Question 5

A fluid flow is represented by the velocity field Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image074.png where a is a constant. The equation of streamline passing through a point (1,2) is

Question 6

An object having a volume of 5 x 10-3 mfloats in a liquid having density of 1500 kg/m3.  if its 60%  volume is above liquid surface level, Then calculate the weight of the object. (g=10m/s2)

Question 7

For stability of a floating body
(M = metacentre, G = centre of gravity and B = centre of buoyancy)

Question 8

A wooden rectangular block with one face horizontally in liquid has a density of 450 kg/m3. Find the percentage of block which is not submerged in liquid. Assume the specific gravity of fluid as 0.6.

Question 9

A hydrometer weighs 0.03 N and has a stem at the upper end which is cylindrical and 3 mm in diameter. It will float deeper in oil of specific gravity 0.75, than in alcohol of specific gravity 0.8 by how much amount?

Question 10

At a distance of 20 cm from the axis of a whirlpool in an ideal liquid, the velocity is 10 m/s. At a radius of 50 cm, what will be the depression of the free surface of the liquid below that at a very large distance?
(Take 11g = 0.102 s2/m)
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