Problem 1: A hollow cylinder (k = 20 W/m-K) of unit length has inner and outer radii r 100 mm and ro = 150 mm. Heat generation within the annular cylinder is ag = +105 W/m. Inner and outer cylinder surface temperatures are T = 100 C and T = 30 C. Convection heat transfer coefficient of fluid flowing within the hollow portion of the cylinder is h 1000 W/m-K. The cylinder is clad with insulating material of thermal conductivity 1 W/m-K. The thickness of the insulating ring is to be determined. Contact resistance at the outer radius r, between the cylinder and insulation material is 0.5 x 102 m2K/W. Convection heat transfer coefficient of ambient fluid surrounding the insulating ring is 5 W/m-K. = a. Draw a net schematic of the problem, and label all given data clearly b. Obtain the numerical value of all constants in the temperature profile of the hollow cylinder. C. If the radius of the insulating ring is equal to the critical radius of insulation, determine the temperature at all interfaces, as well as temperature of ambient fluid surrounding the insulating ring. d. Sketch temperature and conduction flux profiles across all the radii. Label axes and nature of curves.