Discuss the below in detail:
Q: The heat conduction equation in cylindrical coordinates is
(a) Simplify this equation by eliminating terms equal to zero for the case of steady -state heat flow without sources or sinks around a right-angle corner such as the one in the accompanying sketch. It may be assumed that the corner extends to infinity in the direction perpendicular to the page.
(b) Solve the resulting equation for the temperature distribution by substituting the boundary condition.
(c) Determine the rate of heat flow from T1 to T2. Assume k = 1 W/(m K) and unit depth perpendicular to the page.
GIVEN
Steady state conditions
Right-angle corner as shown below
No sources or sinks
Thermal conductivity (k) = 1 W/(m K)
ASSUMPTIONS
Corner extends to infinity perpendicular to the paper
No heat transfer in the z direction
Heat transfer through the insulation is negligible
