Consider a homogeneous spherical piece of radioactive material of radius r0 = 5 cm that is generating heat at a constant rate of q.= 3.8x107 W/m3
Consider a homogeneous spherical piece of radioactive material of radius r0 = 5 cm that is generating heat at a constant rate of q.= 3.8x107 W/m3 The heat generated is dissipated to the environment T∞
= 27°C and h = 110 W/m2°C steadily. The outer surface of the sphere is maintained at a uniform temperature
(Ts) and the thermal conductivity of the sphere is k = 25 W/m°C. Assuming steady one-dimensional heat transfer,
(a) express the differential equation and the boundary conditions for heat conduction through the sphere,
(b) obtain a relation for the variation of temperature in the sphere by solving the differential equation,
and (c) determine the temperature at the center of the sphere
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
