A bar of thermal conductivity k = 140 W/m ⋅ K is of a trapezoidal cross section as shown in the schematic. The left and right faces are at temperatures Th = 100°C and Tc = 0°C, respectively. Determine the heat transfer rate per unit bar length using a finite difference approach with ∆X = ∆y = 10 mm. Compare the heat rate to that of a bar of a 20 mm × 30 mm rectangular cross section where the height of the domain is 20 mm.
A bar of thermal conductivity k = 140 W/m ⋅ K is of a trapezoidal cross section as shown in the schematic. The left and right faces are at temperatures Th = 100°C and Tc = 0°C, respectively. Determine the heat transfer rate per unit bar length using a finite difference approach with ∆X = ∆y = 10 mm. Compare the heat rate to that of a bar of a 20 mm × 30 mm rectangular cross section where the height of the domain is 20 mm.
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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Question
A bar of thermal conductivity k = 140 W/m ⋅ K is of a trapezoidal cross section as
shown in the schematic. The left and right faces are at temperatures Th = 100°C
and Tc = 0°C, respectively. Determine the heat transfer rate per unit bar length
using a finite difference approach with ∆X = ∆y = 10 mm. Compare the heat rate to
that of a bar of a 20 mm × 30 mm rectangular cross section where the height of the
domain is 20 mm.

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