Answer Happy

Problem 1 (20 pts) Superheated steam at 350 °C flows through a pipe whose thermal conductivity is kp = 16 W/m.K. The inner diameter and thickness of the pipe are 26 cm and 1 cm, respectively. The surrounding temperature is 28 °C. The convective heat transfer coefficient at the steam side and the outside of the pipe is 90 W/m².K and 15 W/m².K, respectively. Derive an expression for the temperature profile across the pipe thickness as a function of the radial position r. Too = 28 °C, ho = 15 W/m2.K = Ts = 350 °C h; = 90 W/m2.K = Cross-sectional view of the pipe
Problem 2 (20 pts) Consider the steam pipe of Problem 1. The objective is to reduce the heat losses from the steam pipe by 90% using a layer of glass fiber as the insulation. Determine the required thickness of the insulation. The thermal conductivity of the glass fiber is 0.04 W/m.K. Insulation