Problem 3) Heat transfer in a hollow sphere Learning Objective: Derivations using spherical coordinates Derive the equations for heat flux and for a temperature profile in a hollow sphere as given in WRF Eqs. 17-15 and 17-16, Start from the general vector form of Fourier's law: q" = kVT In your derivation, explicitly list all simplifications and assumptions to obtain this equation. Show all derivation steps and justify any assumptions made. Note that the textbook outlines the steps and the results in the derivation. This problem is comparable to that for Recitation #2 with a hollow cylinder

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Problem 3) Heat transfer in a hollow sphere Learning Objective: Derivations using spherical coordinates Derive the equations for heat flux and for a temperature profile in a hollow sphere as given in WRF Eqs. 17-15 and 17-16, Start from the general vector form of Fourier's law: q" = kVT In your derivation, explicitly l