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. GIVENSteady state conditionsRight-angle corner as shown belowNo sources or sinksThermal conductivity (k) = 1 W/(m K)ASSUMPTIONSCorner extends to infinity perpendicular to the paperNo heat transfer in the z directionHeat transfer through the insulation is negligible

' 1 r? 1 ? ? =k r - r p? -