A circular fin of uniform cross section, with diameter of 10mm and length of 50mm is attached to a wall with surface temperature of 350 degrees celcius (350C). The fin is made of material with thermal conductivity of 240 W/m.K and it is exposed to an ambient air condition of 25C and the convection heat transfer coefficient is 250 W/m^2.K. Assume steady one dimension heat transfer along the fin and the nodal spacing to be uniformly 10mm:
a) using the energy balance approach obtain the finite difference equations to determine the nodal temperatures.
b) determine the nodal temperatures along the fin by solving those equations.
c) calculate the heat transfer rate.