Reacting chemicals are stored in a spherical stainless steelcontainer of outer radius ro = 6 cm and of inner radius is 5 cm.The chemicals generate a uniform heat at a constant rate of ???? ̇= 8 × 107 W m3 ℠. The outer surface of the container is maintainedat a uniform temperature of 100 °C. Consider a steadyone-dimensional heat transfer and
a. Write an appropriate form of heat conduction equation for thesphere.
b. Express the boundary conditions.
c. Obtain a relation for the variation of temperature by solvingthe differential equation.
d. Calculate the temperature at the center of the sphere.