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GATE (CE) 2022: Fluid Mechanics and Hydrauics

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Question 1

A fluid flowing steadily in a circular pipe of radius R, the relation between maximum velocity U, and average velocity is

Question 2

A rectangular body of dimension 4m × 6m × 10m, where 10m is height of body. If specific gravity is 0.4, find the depth of metacentre from water surface if the body is placed on water surface.

Question 3

If velocity vector in a flow is given by

Then equation of streamline is

Question 4

Consider same fluid is carried at equal rate in two pipes of equal length. 1^st pipe of 200mm dia and 2^nd pipe of 300mm diameter and both having same roughness = 0.1mm. Assume very high Reynold’s no, then ratio of power required to flow, i.e.,

will be — (Use Nikuradse formula)

Question 5

In a 90° elbow which has diameter of 30 cm. The average velocity of water flow inside the elbow is 5 m/s with a pressure intensity of 4 kPa. The magnitude of vertical reaction (in kN) needed to keep the elbow in equilibrium is

Question 6

A cylinder (2.0 m diameter, 3.0 m long and 25 kN weight) is acted upon by water on one side and oil (specific gravity = 0.8) on other side as shown in the figure.

The absolute ratio of the net magnitude of vertical forces to the net magnitude of horizontal forces (round off to two decimal places) is _____.

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ESE & GATE CE Fluid Mechanics

May 19ESE & GATE CE