A steam pipe covered with 5 cm glass wool insulation is subjected to convection on its surfaces. Inner radius of the pipe is 10 cm and the thickness of the pipe 5 mm. Here, we consider a unit length of the pipe (the length of the pipe is 1 m). Properties The thermal conductivities are given to be k = 15 W/m-C for steel and k = 0.038 W/m-C for glass wool insulation. The convective heat transfer coefficient between the outer surface of the insulation layer and the atmosphere is 20 W/m2 -C and the convective heat transfer coefficient between the inner surface of the pipe and steam is 100 W/ m2 -C. The temperature of the steam is 320 C and the ambient temperature is 5C. Determine the rate of heat transfer per unit length and the temperature drops across the pipe. Assumptions: 1 Heat transfer is steady since there is no indication of any change with time. 2 Heat transfer is one-dimensional since there is thermal symmetry about the center line and no variation in the axial direction. 3 Thermal conductivities are constant. 4 The thermal contact resistance at the interface is negligible