a) Simplify the energy balance (Eq 1) justifying all the assumptions and derive an expression for the steady state radial temperature distribution in the element. b) Use the steady state radial temperature distribution to calculate the heat transfer rate per 1m of the element. The volumetric energy generation rate S=S0(1+b(Rr)2) where S0[Wm3] (the rate of generation in the cylinder axis) and b are positive constant. You can assume that temperature at the surface of the cylinder T1 is also constant. cpDtDT=k2T+S2T=(r1r(rrT)+r2122T+z22T)DtDT=tT+vrrT+rvT+vzzT