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A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/m °C. The prism is connected on the left-hand side to a molten metal tank with temperature To=2000 °C. The periphery of the prism is cooled by a slow air stream at T=30 °C with heat transfer coefficient h=10W/m² C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m).

A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/m °C. The prism is connected on the left-hand side to a molten metal tank with temperature To=2000 °C. The periphery of the prism is cooled by a slow air stream at T=30 °C with heat transfer coefficient h=10W/m² C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m).

Elements Of Electromagnetics
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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A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/m C. The prism is connected on the left-hand side to a molten metal tank with temperature To=2000 °C. The periphery of the prism is cooled by a slow air stream at T=30°C with heat transfer coefficient h=10W/m² C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m).
Transcribed Image Text:A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/m C. The prism is connected on the left-hand side to a molten metal tank with temperature To=2000 °C. The periphery of the prism is cooled by a slow air stream at T=30°C with heat transfer coefficient h=10W/m² C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m).
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