Metallurgical Engineering
2024 · Paper 1
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Complete GATE MT 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.
Question 37
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If
,
, thenYour answerChoose one option.
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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. 
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Match the dimensionless numbers listed in Column I with their applications to transport phenomena listed in Column II. Column I: P. Reynolds number; Q. Schmidt number; R. Prandtl number; S. Biot number. Column II: 1. Momentum and mass transfer; 2. Momentum and heat transfer; 3. Convective and conductive heat transfer; 4. Laminar to turbulent flow.
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