1) (25pts) Lumped-Resistance Model - Pipe with Insulation (Concept problem - NO NUMBERS - Simply set-up to solve and answer questions.) System: Mild steel pipe containing flowing hot water with Styrofoam insulation on the outside of the pipe and a fan blowing across the pipe. a) Make an accurate sketch of the problem and label all components (conduction and convection). b) State the assumptions needed to solve this problem using a lumped-resistance model. c) Show the form of each resistance term and how you would calculate the overall heat transfer rate using the lumped-resistance model. d) Sketch the expected temperature profile through the pipe