A heated rod of length L is subject to a volumetric heating h(x) = hož in units of [Wm3], as shown in the figure below. Under the heat supply the temperature of the rod changes along x with the temperature function T(x). The temperature T(x) is governed by the following equations: (−d (9(x)) + h(x) = 0 PDE dx \q(x) = − k dT dx Fourier's law of heat conduction (3) where q(x) is the heat flux through the rod and k is the (constant) thermal conductivity. The left end of the bar is in contact with a heat reservoir at zero temperature, while the right end of the bar is thermally insulated. T(x) h(x) L X

A heated rod of length L is subject to a volumetric heating h(x) = hož in units of [Wm3], as shown in the figure below. Under the heat supply the temperature of the rod changes along x with the temperature function T(x). The temperature T(x) is governed by the following equations: (−d (9(x)) + h(x) = 0 PDE dx \q(x) = − k dT dx Fourier's law of heat conduction (3) where q(x) is the heat flux through the rod and k is the (constant) thermal conductivity. The left end of the bar is in contact with a heat reservoir at zero temperature, while the right end of the bar is thermally insulated. T(x) h(x) L X

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.52P

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