book to help: Heat Conduction, David W. Hahn & M. Necati zisik, 3rd Edition (2012)

Problem 2A To prevent the rover's hemispherical drill head from freezing, your team is asked to model its steady state temperature conditions. The drill radius is also b. Using the following PDE and boundary/initial conditions, derive an analytical solution to the drill's temperature distribution T(r,): 18 PDE: & (7) + 7 28 [(1-12) + ] + G = 0 +Go=0 or dr Domain: 0rsb, 0u1, where =cos OT Or BCs: +H.T(r=b, u)=0, and = 0, where Go and H are constants. dr =0 Problem 2B To maintain the drill above freezing conditions, the following boundary condition must be met: T(r=b=+1)=0 Assuming that b = 1, and H= 80, solve for Go, the constant and uniform heat generation rate in the hemispherical drill head. r=b