Consider a long solid cylinder of radius r0= 4cm and thermal conductivity k = 25 W/m · k....

Consider a long solid cylinder of radius r0= 4cm and thermal conductivity k = 25 W/m · k. Heat is generated in the cylinder uniformly at a rate of egen = 35W/cm3. The side surface of the cylinder is maintained at a constant temperature of  Ts= 80°C. The variation of temperature in the cylinder is given by

Based on this relation, determine (a) if the heat conduction is steady or transient, (b) if it is one-, two-, or three-dimensional, and (c) the value of heat flux on the side surface of the cylinder at r = r0.