GATE MT Heat transfer PYQs & Answers

Questions 1–10 of 13. Imported answers require independent review unless marked reviewed.

Which one of the following options is correct?

In a convective heat transfer for laminar flow over a flat plate, Nusselt number is a function of Reynolds number and Prandtl number. Similarly, in a convective mass transfer for laminar flow over a flat plate, Sherwood number is a function of:

Your answerChoose one option.

Schmidt number and Reynolds number

Weber number and Reynolds number

Schmidt number and Weber number

Weber number and Prandtl number

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Which one of the following options is correct?

For a solid immersed in a fluid, the convective heat transfer coefficient across the solid-fluid interface is NOT dependent on:

Your answerChoose one option.

Solid-fluid interfacial area

Thermal conductivity of solid

Roughness of solid surface

Viscosity of fluid

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Temperatures at two sides of a 0.4 m thick copper plate are 100 and 500 °C.

Assuming steady state, one-dimensional conductive heat transfer through the wall and ignoring end-effects, the magnitude of the heat flux through the wall is _____ × 10

W m

(in integer).

Given: Thermal conductivity of copper is 400 W m

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As shown in the figure, two rods of different metals of equal lengths,

, diameter

(

), and constant thermal conductivities

and

(with

) are connected perfectly (i.e., zero interface thermal resistance). The left and right ends of the connected rod are maintained at temperatures

and

(

). Assume that the rods are insulated from the environment, apart from the two flat ends. Which one of the following graphs represents the temperature distribution at steady-state? The thick line shows the temperature profile. The horizontal axis shows the distance from the left end of the rod to the right and the vertical axis denotes temperature.

Diagram for Metallurgical Engineering question 15

Your answerChoose one option.

Diagram for Metallurgical Engineering question 15 (figure 2)

Diagram for Metallurgical Engineering question 15 (figure 3)

Diagram for Metallurgical Engineering question 15 (figure 4)

Diagram for Metallurgical Engineering question 15 (figure 5)

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Match the laws listed in Column I with the corresponding material properties listed in Column II

Column I (P) Hooke’s law (Q) Fick’s law (R) Fourier’s law (S) Darcy’s law

Column II (1) Thermal conductivity (2) Young’s modulus (3) Permeability (4) Diffusivity

Your answerChoose one option.

P – 2, Q – 1, R – 4, S – 3

P – 4, Q – 3, R – 1, S – 2

P – 2, Q – 4, R – 1, S – 3

P – 4, Q – 3, R – 2, S – 1

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As shown in the figure, the right end of a slender, long solid cylindrical metal rod of thermal conductivity

, length

and diameter

(

) is in contact with an infinite liquid heat sink. At steady-state, the temperatures of the right end of the rod and the heat sink are

and

, respectively. If the convection heat transfer coefficient between the liquid heat sink and the right end of the rod is

, then what would be the temperature of the left end of the rod,

, at steady-state? Assume that there is no other heat loss.

Diagram for Metallurgical Engineering question 38

Your answerChoose one option.

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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 rectangular block made of Material I and Material II of identical cross sections (as shown in the figure) has a temperature (T) of 435 K and 400 K at the bottom and top surfaces, respectively. Assuming purely steady state conductive heat transfer, the temperature at the interface is ______ K (round off to nearest integer).

(Given: The two parts of the block made of Material I and Material II have equal thickness of 25 mm each. The thermal conductivities of Material I and Material II are 50 W·m⁻¹·K⁻¹ and 200 W·m⁻¹·K⁻¹, respectively.)

Diagram for Metallurgical Engineering question 54

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One-dimensional steady-state temperature distribution in two adjacent refractory blocks (with thermal conductivities, k₁ and k₂) of unit cross-sectional area are shown below. The temperature T₁ and thermal contact resistance of the interface, respectively, are:

Diagram for Metallurgical Engineering question 33

Your answerChoose one option.

200 K, 0.5 K W⁻¹

400 K, 1.0 K W⁻¹

200 K, 0.25 K W⁻¹

500 K, 0.5 K W⁻¹

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Two solid spheres X and Y of identical diameter are made of different materials having thermal diffusivities

and

respectively. Both spheres are heated in a furnace maintained at 1000 K. If the center of the sphere X reaches 800 K in 1 hour, time required for the center of sphere Y to reach 800 K is

Your answerChoose one option.

1 hour.

2 hours.

4 hours.

16 hour.

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GATE MT Heat transfer PYQs

How to practice Heat transfer

Question 27

Question 28

Question 59

Question 15

Question 16

Question 38

Question 37

Question 54

Question 33

Question 11