For this Assignment, use the template in this week’s Learning Resources to complete your own PDP. Keep in mind that as you progress academically and professionally, it might be necessary to m

ME 6180 – Additive Manufacturing Summer 2018 Homework 4 Due date : July 6 , Fri day 5:00 pm in PILOT dropbox 1. Consider that you are using an extrusion based ABS printer . Calculate the required heater power, total pressure drop in liquefier , and motor power for extrusion at steady state condition for deposition speed of 0. 5, 1, 1.5, 3, 5, 10, and 50 mm/s and plot them on three separate graphs. Use the following data: m = 2.16  = 7.4 x 10 -5 (kPa) -m s-1  = 900 kg/m 3 cp = 1500 J/ kg -K D1 = 1.8 mm L1 = 10 mm Some required data is missing that can be found from literature. 2. The generalized heat equation for laser melting is given by = [ ]+ [ ]+ [ ]+ ( + + )+ where Reduce the above equation for steady -state thermal analysis of a system having a stationary heat flux and no -heat generation. Then solve the following problem: Consider a case where the surface of a metal plate is irradiated by a stationary laser so that the steady -state temperature near the laser -irradiated region of the top surface is defined by an exponential function given in the figure below. The remaining boundaries are maintained room temperature (23 oC). Consider k x = 50 W/m 2-K, k y = 60 W/m 2-K, and grid sizes x = 0.6 mm , y = 0.5 mm. 1. Derive finite difference equations for all the interior nodes. 2. Develop a MATLAB code, and determine temperatures at all interior nodes .