GATE MT Heat transfer PYQs & Answers — Page 2

Questions 11–13 of 13. Imported answers require independent review unless marked reviewed.

Steady state radial heat conduction through a hollow, infinitely long zirconia cylinder is governed by the following ordinary differential equation:

Here, T is the temperature and r is the radial distance. The inner surface of the hollow cylinder is maintained at 1473 K and the outer surface at 973 K. The rate of heat loss per unit length through the outer surface of the hollow cylinder (in W.m⁻¹, rounded off to the nearest integer) is _____________.

Given: Inner radius of cylinder = 0.05 m; outer radius of cylinder = 0.07 m and thermal conductivity of zirconia (k) = 2 W.m⁻¹.K⁻¹.

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As shown in schematic below, an alloy is cast as a rectangular slab between two thick mould walls that differ in their thermal conductivities. Shrinkage defects are found at a distance L1 from Mould-1 with thermal conductivity

and distance L2 from Mould-2 with thermal conductivity

. If the ratio L1:L2 = 3:2, and assuming 1-D heat transfer, the ratio

is ______ (to two decimal places)

Diagram for Metallurgical Engineering question 43

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A continuous cast steel slab, 1 m × 1 m × 0.1 m, at 1298 K cools in air. The initial rate of heat loss (in kW) from the top surface of slab by radiation and convection is __________ (answer up to two decimal places)

Given: (i) Ambient temperature = 298 K, (ii) emissivity of steel = 0.8, (iii) convective heat transfer coefficient = 4.6 W m

, (iv) Stefan-Boltzmann constant (

) =

W m

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GATE MT Heat transfer PYQs

Question 41

Question 43

Question 32