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ps6 - The medium in between the spheres is gray and...

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2.58J Homework No. 6 1. Solve Eq. (13.41) numerically to obtain temperature distribution between a parallel plates for τ L =0.1, 0.4, 1.5, and 10. Make sure to compare your results with Fig. 13.3. 2. (a) Derive an expression for the heat flux based on the diffusion approximation for radiation heat transfer between two concentric spheres of radius R 1 and R 2 , with emissivity ε 1 and ε 2 , and temperature T 1 and T 2 , respectively.
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Unformatted text preview: The medium in between the spheres is gray and isotropically scattering with an extinction coefficient K e . (b) Derive first-order temperature slip boundary conditions at both surfaces. (c) Obtain an analytical solution for the temperature distribution in the spherical shell. (d) Obtain an analytical solution for the heat flux between the two spheres, compare your results with that of Fig. 14-1. 3. Problem 15.20....
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