Q2. An Aluminum cube 5cm side length (rho=2700,C=0.896 KJ/Kg.C and k-204 (W/m. C) initially at 20 C, two of the boundary surfaces are kept insulated, two are subjected to uniform heat flux at the rate of 10 W/m² and the remaining two surfaces dissipate heat by convection into an ambient at 20 C with heat transfer coefficient of 50 W/m2 K. obtain an expression for the temperature of the cube as a function of time. and Calculate the equilibrium temperature of the cube. Assume very large k for the aluminum cube.

Q2. An Aluminum cube 5cm side length (rho=2700,C=0.896 KJ/Kg.C and k-204 (W/m. C) initially at 20 C, two of the boundary surfaces are kept insulated, two are subjected to uniform heat flux at the rate of 10 W/m² and the remaining two surfaces dissipate heat by convection into an ambient at 20 C with heat transfer coefficient of 50 W/m2 K. obtain an expression for the temperature of the cube as a function of time. and Calculate the equilibrium temperature of the cube. Assume very large k for the aluminum cube.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

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Q2. An Aluminum cube 5cm side length (rho=2700,C=0.896 KJ/Kg.C and k-204 (W/m. C) initially at
20 C, two of the boundary surfaces are kept insulated, two are subjected to uniform heat flux at the
rate of 10 W/m² and the remaining two surfaces dissipate heat by convection into an ambient at 20
C with heat transfer coefficient of 50 W/m² K. obtain an expression for the temperature of the cube
as a function of time. and Calculate the equilibrium temperature of the cube. Assume very large k
for the aluminum cube.

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Q5A) Consider a composite spherical shell comprising an insulating layer of unknown thermal conductivity sandwiched between two layers of steel (k = 45 W/m. °C). The inner shell has 100 mm inner diameter and wall thickness of 5 mm. The outer shell has 150 mm inner diameter and wall thickness of 2 mm. The inner surface of inner spherical shell was experimentally found 120 °C while outer surface of outer spherical shell was at 67 °C. The ambient air was at 30 °C with heat-transfer coefficient at outer surface 6 W/m². °C. Determine thermal conductivity of insulating material. Then, experiment was repeated on another day when ambient air temperature was 13 °C. The inner surface temperature of inner shell and convection coefficient remained unchanged. Calculate temperature of outer surface of outer shell in this case.
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