Problem 1: Air at 20C and approximately 1 atm flows at an average velocity of 1.7 m/s through a rectangular 1 cm by 4 cm duct. Please calculate the pressure drop (Pa/m) using the following three methods: (a) Through the exact solution for rectangular duct, Eqn. (3-48). (b) Use Figure 3-13. (c) By the hydraulic diameter approximation, assuming you can use the circular duct relations. Please compare your answers from three different routes. You may acquire air properties from Table A-2 on textbook. Problem 2: Slug flow is an idealized tube flow condition for which the velocity is assumed to be uniform over the entire tube cross section. For the case of laminar slug flow with a uniform surface heat flux, determine the form of the fully developed temperature distribution 7(r). u(r)=407 25=const