Consider a one-dimensional plane wall of thickness 2L that experiences uniform volumetric heat generation. The surface temperatures of the wall are maintained at T₁1 and T,2 as shown in the sketch. Verify, by direct substitution, that an expression of the form T(x) = qL² 2k x² T₁2-T₁.1 XT₁1 + T5.2 2 L 1² 2 Ist satisfies the steady-state form of the heat diffusion equation. Determine an expression for the heat flux dis- tribution, q"(x). + -L +L IS2

Consider a one-dimensional plane wall of thickness 2L that experiences uniform volumetric heat generation. The surface temperatures of the wall are maintained at T₁1 and T,2 as shown in the sketch. Verify, by direct substitution, that an expression of the form T(x) = qL² 2k x² T₁2-T₁.1 XT₁1 + T5.2 2 L 1² 2 Ist satisfies the steady-state form of the heat diffusion equation. Determine an expression for the heat flux dis- tribution, q"(x). + -L +L IS2

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.

Chapter3: Transient Heat Conduction

Section: Chapter Questions

Problem 3.13P

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