Answer Happy

i need just Part F solution in 40 mins i will give upvote
Problem Statement: (100 points) A square-shaped piece of solid has a size of 1m x 1m, which is shown in the following figure. The thermal conductivity k= 100 W/m · K. The top side of the solid is kept with a constant temperature T2 = 300K, while all other sides are kept with another constant temperature Ti = 150K. = T2=300K L=1m A B T1=150K L=1m T1=150K L=1m D с T1=150K L=1m (a) ) What is the analytic/exact solution of this problem? Plot the analytic/exact solution with 20 nodes in both x and y directions. (Hint: n=1000) (b) Solve this problem in Matlab with the iterative finite difference (FD) method with 20 nodes in x and y directions and plot the temperature distribution in contour plot. (c) Quantify the error of your numerical solution in (b) using the exact solution you have in (a) as the benchmark (d) Starting from the nodal network (we call it mesh) you used in (b), double the mesh resolution 4 times (each time you halve the size of Ax and Ay). Similar to what you did in (c), obtain the error of your new solution after you double the mesh resolution each time and discuss such errors. Do you see some pattern or trend while increasing the mesh resolution? If you see some pattern or trend, discuss why it exists. (e) Measure and compare the runtimes for getting each new solution in (d) and discuss the comparison. Do you see some pattern or trend while increasing the mesh resolution? If you see some pattern or trend, discuss why it exists. Use the boundary conditions for the problem in HW3, in which the left side (AD) is subjected to a constant temperature Tz = 200K, the bottom side (DC) is subjected to an incoming heat flux q”=5000 W/m², and the right side (CB) is subjected to the convection that To=150K and h = 200 W/m². (1)