GATE MT topic:momentum-transfer PYQs & Answers — Page 2

Questions 11–19 of 19. Imported answers require independent review unless marked reviewed.

Match the transport processes in Column I with the relationships in Column II.

Column I (P) Molecular momentum transport (Q) Molecular mass transport (R) Molecular energy transport (S) Radiation energy transport

Column II (1) Stefan-Boltzmann law (2) Newton’s law of viscosity (3) Fick’s law (4) Fourier law

Your answerChoose one option.

P – 2, Q – 3, R – 4, S – 1

P – 4, Q – 3, R – 2, S – 1

P – 3, Q – 1, R – 4, S – 2

P – 2, Q – 1, R – 4, S – 3

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A chimney as shown in the figure requires to have natural draft (pressure difference between the furnace and the bottom of chimney,

) of

Diagram for Metallurgical Engineering question 57

Given: acceleration due to gravity,

Assume densities of air and flue do not change along the chimney height. Neglect frictional energy loss and kinetic energy difference at the bottom and top of the chimney.

If the density difference between the air and flue is

, the minimum height (

) of the chimney in meters is __________ (round off to nearest integer).

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A Newtonian incompressible liquid is contained between two parallel metal plates separated by

m (see figure). A stress of 5 Pa is required to maintain the upper plate in motion with a constant speed of 2 m·s

in the horizontal direction relative to the bottom plate.

The viscosity of liquid contained between the plates is _______ ×

Pa·s (answer rounded off to 1 decimal place).

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A non-rotating smooth solid spherical object is fixed in the stream of an inviscid incompressible fluid of density

(see figure). The flow is horizontal, slow, steady, and fully developed far from the object as shown by the stream arrows near point O. Which of the following statement(s) is(are) TRUE?

(Note: B is the center of the sphere and the straight horizontal line OAB intersects the surface of the sphere at the point A.)

Diagram for Metallurgical Engineering question 45

Your answerSelect all correct options. You can choose more than one.

The velocity of the fluid at the point A is zero

The fluid pressure at the point A exceeds that at point O by the amount

, where

is the fluid velocity at point O

Fluid moving precisely along OA will turn perpendicular to OA to circumvent the object

On each side of the central streamline OA, the flow will be deflected round the object

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Water flows over a plate of finite length. At

from the leading edge, the velocity of the flow is

. The thickness,

(in meter) of the boundary layer at

is: ______ (round off to 2 decimal places). Given:

is the free stream velocity.

Diagram for Metallurgical Engineering question 24

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For a fully developed 1-D flow of a Newtonian fluid through a horizontal pipe of radius R (see figure), the axial velocity (v_z) is given by:

where, ΔP is the pressure difference (P₁ − P₂), μ is the viscosity, r is the radial distance from the axis and L is the length of the tube. The shear stress exerted by the fluid on the tube wall is:

Diagram for Metallurgical Engineering question 34

Your answerChoose one option.

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Figure shows schematic of a venturimeter. The cross sectional area is 100 mm

at A and is 50 mm

at B. If air is flowing through the venturimeter at a flow rate of

·s

, the height H in the air-over-water manometer is ______ mm (round off to the nearest integer).

Assume:

Incompressible flow with no friction losses.

Density of air is 1 kg·m

Density of water is 1000 kg·m

Acceleration due to gravity is 9.8 m·s

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Pressure drop in the granular zone of a blast furnace is 300 mm of water per meter of the bed height. The bed permeability is 0.8

. The volumetric flow rate of gas per unit area through the bed [in

, rounded off to the nearest integer] is ________.

Assume Darcy’s law is applicable and

. Density of water = 1000

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A ladle containing molten steel is being discharged. The relevant forces are listed in Column I. Match them with their corresponding expressions in Column II.

Column I	Column II
[P] Pressure force	[1]
[Q] Inertial force	[2]
[R] Gravity force	[3]
[S] Viscous force	[4]

= viscosity, U = characteristic velocity, L = characteristic length,

= density, g = acceleration due to gravity, P = pressure.

Your answerChoose one option.

P-4; Q-3; R-2; S-1

P-1; Q-3; R-2; S-4

P-2; Q-3; R-4; S-1

P-4; Q-3; R-1; S-2

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GATE MT topic:momentum-transfer PYQs

Question 37

Question 57

Question 35

Question 45

Question 24

Question 34

Question 46

Question 44

Question 36