GATE ME topic:fluid-mechanics PYQs & Answers — Page 7

Questions 61–70 of 76. Imported answers require independent review unless marked reviewed.

In a Lagrangian system, the position of a fluid particle in a flow is described as

and

where t is the time while

, and k are constants. The flow is

Your answerChoose one option.

unsteady and one-dimensional

steady and two-dimensional

steady and one-dimensional

unsteady and two-dimensional

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Air flows at the rate of 1.5 m

/s through a horizontal pipe with a gradually reducing cross-section as shown in the figure. The two cross-sections of the pipe have diameters of 400 mm and 200 mm. Take the air density as 1.2 kg/m

and assume inviscid incompressible flow. The change in pressure

(in kPa) between sections 1 and 2 is

Diagram for Mechanical Engineering question 34

Your answerChoose one option.

−1.28

2.56

−2.13

1.28

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A frictionless circular piston of area

and mass 100 kg sinks into a cylindrical container of the same area filled with water of density 1000 kg/m

as shown in the figure.

Diagram for Mechanical Engineering question 40

The container has a hole of area

at the bottom that is open to the atmosphere. Assuming there is no leakage from the edges of the piston and considering water to be incompressible, the magnitude of the piston velocity (in m/s) at the instant shown is ______ (correct to three decimal places).

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A sprinkler shown in the figure rotates about its hinge point in a horizontal plane due to water flow discharged through its two exit nozzles.

Diagram for Mechanical Engineering question 42

The total flow rate Q through the sprinkler is 1 litre/sec and the cross-sectional area of each exit nozzle is 1 cm

. Assuming equal flow rate through both arms and a frictionless hinge, the steady state angular speed of rotation (in rad/s) of the sprinkler is _____ (correct to two decimal places).

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A solid block of 2.0 kg mass slides steadily at a velocity V along a vertical wall as shown in the figure below. A thin oil film of thickness h = 0.15 mm provides lubrication between the block and the wall. The surface area of the face of the block in contact with the oil film is 0.04 m

. The velocity distribution within the oil film gap is linear as shown in the figure. Take dynamic viscosity of the oil as

Pa-s and acceleration due to gravity as 10 m/s

. Neglect weight of the oil. The terminal velocity V (in m/s) of the block is ________ (correct to one decimal place).

Diagram for Mechanical Engineering question 43

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For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?

Your answerChoose one option.

It increases until the flow is fully developed.

It is constant and is equal to the average velocity in the fully developed region.

It decreases until the flow is fully developed.

It is constant but is always lower than the average velocity in the fully developed region.

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Consider the two-dimensional velocity field given by

, where

and

are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible?

Your answerChoose one option.

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Water (density = 1000 kg/m

) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of 1 kg/s. If the pressure drop across the pipe is 100 kPa, the minimum power required to pump the water across the pipe, in watts, is ______

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For the stability of a floating body the

Your answerChoose one option.

centre of buoyancy must coincide with the centre of gravity

centre of buoyancy must be above the centre of gravity

centre of gravity must be above the centre of buoyancy

metacentre must be above the centre of gravity

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Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is denoted by

. The axial positions

and

on the plate are measured from the leading edge in the direction of flow. If

, then

Your answerChoose one option.

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GATE ME topic:fluid-mechanics PYQs

Question 34

Question 34

Question 40

Question 42

Question 43

Question 6

Question 7

Question 8

Question 16

Question 17