yer of coal of thickness L 1 m experiences uniform volumetric A plane la generat

Question

yer of coal of thickness L 1 m experiences uniform volumetric A plane la generation at a rate of q = 40 W/m3 due to slow oxidation of the coal particles. Averaged over a daily period, the top surface of the layer transfers heat by convection to ambient air for which h = 10 W/m2-K and Te = 20 , while receiving solar irradiation in the amount Gs 1360 W/m2. Irradiation from the atmosphere may be neglected. The solar absorptivity and emissivity of the surface are the same, each ,- = 0.90. Ambient air Coal, k, q (a) Write the steady-state form of the 1D Cartesian heat diffusion equation (HDE) for the layer of coal. Using the HDE, determine the temperature distribution as a function ofx and constants given above. Sketch the temperature distribution and label key features. (b) Obtain an expression for the rate of heat transfer by conduction per unit area at xL. Applying an energy balance to a control surface about the top surface of the layer, obtain an expression for T,. Evaluate T, and T(0) for the prescribed conditions

Explanation / Answer

(a)&(b) Same as solved problem in the following link, only the numerical values are different

http://maecourses.ucsd.edu/~kseshadr/mae101c-s108/sm2_31.pdf

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