Question 6 A slab of semitransparent material of thickness L has one surface irr

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Question 6 A slab of semitransparent material of thickness L has one surface irradiated by a radiant energy flux G [W/m2] from a high-temperature source. The rate of absorption of the radiation decays exponentially into the material and the resulting volumetric heating can be expressed as: Qu KGe-kx [W/m3], where k [m 11 is the absorption coefficient. The front and back surfaces are main- tained at temperatures T and T2 respectively, with Ti> T2. Consider the front of the slab to be an x location of 0 and the back of the slab to be x = L. a) Draw a schematic of the setup and identify and front and back surfaces. b) Derive an expression for the steady state temperature profile T(x). State any necessary assumptions c Determine the location of the maximum temperature, and show how it depends on the problem parameters. State any necessary assumptions.

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Here's the link of google drive to which the solution has been uploaded.

https://drive.google.com/file/d/1BzWMm09d2j43c4VMY5F1s0FzU8Bw0-Hg/view?usp=sharing.

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