MIE 154 - Heat Transfer Professor Rothstein Hooks Doe on Moodle - March 22 Midnight Semi-Infinite Body Transit Connection Matlab Assignment In this assignment, all work must be done in Matlab. In Part A. you can assume the ground is a semi-infinite body and you can explicitly solve the equations from the book (Eq. 5.63) for a semi-infinite body with a convective boundary condition. In Part B. you will need to develop a Matlab code to solve the heat diffusion equations explicitly because the ground will no longer he semi-infinite. Your final report should include answers to all the questions asked along with plots of temperature and heat flux as a function of time and depth. You will need to turn in both your written report and your code through Moodle. To insure that everyone develops their own code we will be using turn it in to check the originality of each of your submissions. Here is the problem Part: The crisp fall has just ended, and the ground has adjusted to the average temperature of T-290K. A mole called Vader needs to prepare for winter by burrowing underground to stay warm. The last few years, the winds reached T. -20°C with a convective heat transfer coefficient of h-50 W/m K), Vader doesn't want to get caught in that. The thermal conductivity of soil is -0.5*10mis 1) Assuming the initial surface temperature was T-290K and the winds started blowing suddenly, what is the initial heat transfer per unit area through the surface ato ? Which way is it going? 2) If the ground has a thermal conductivity of k -2,0 W/(mK) a. What is the temperature distribution over the first I meters underground after the following amounts of time i 1 day in 2 days Sdays in 7 days b. How long can Vader stay at this depth before he's encased in frozen solat O'C? 3) After a week of the blistering cold. What is the temperature distribution at the following depths? LSO cm iv. Sm b. What is the minimum depth Vader would need to dig to stay cozy at a minimum of 10'C for the duration of this weeklong cold spell?