A rod length l with the thermally insulated lateral surface is made of a material whose thermal conductivity varies as K = α sin (ln T), where α is a constant. The ends of the rod are kept at temperatures T1 and T2. Find the temperature T(x), where x is the distance from the end whose temperature is T1, and also find the heat flowing per second per unit cross-sectional area.

A rod length l with the thermally insulated lateral surface is made of a material whose thermal conductivity varies as K = α sin (ln T), where α is a constant. The ends of the rod are kept at temperatures T1 and T2. Find the temperature T(x), where x is the distance from the end whose temperature is T1, and also find the heat flowing per second per unit cross-sectional area.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter4: Temperature Effects On Atom Arrangements And Atom Motion

Section: Chapter Questions

Problem 4.10P

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