Can someone please help me get the MATLAB code started on this - doesn't have to be a full answer just need a bit of help.

The following problem will test the accuracy of the assumption that the heat flow in a fin is one- dimensional. A plate having a thermal conductivity of k- 10 W/mK is stiffened by a series of longitudinal ribs having a rectangular cross section with length L 8mm and width w - 4mm. The ribs run for100mm in the z-direction. A schematic diagram of the rib is shown below. The base of the plate is fixed at a temperature of T-45C, while the surface is exposed to air at a temperature of T 25C with a heat transfer coefficient of h 600 W/mK o 25 ac h600 W/m2 K | Tb =45C 9 102 Ay 2mm a)What is the Biot Number? Is t advisable to assume that the temperature is uniform across the fin and the heat transfer is only in the x-direction? b)Using the resistance formulation developed in class, break up the geometry into a total of 5x3 nodal points numbered as shown in the above diagram with spacing of Ax 2mm and Ay-2mm. Determine the temperature at each node through the iteration technique discussed in class and compare with the temperatures obtained assuming the heat transfer in the fin is one-dimensional. To help you get started, show that for nodes 2, 6 and 12 the resistance formulation can be T-T T-T T-T T -T T, -T To -T, T-T T-T. Notice the 's that are floating around. They pop up because for the nodes on the edge of the rib, the heat is conducting though half the area of the fin. Now show that you can rearrange the above equations to isolate the temperature at nodes 2, 6 and 12 to get T, If you were able to solve for the above formulas then you should be able to write down an expression for the temperature at each node. You could of course simplify this expression by assuming x- y, but let's leave it general because in part c) Ax y Now, take these expressions and, using Matlab, solve for the different temperatures using the iteration technique described in class. (Note: You will be required to turn in your code and it will be compared to the submissions of everyone else in the class so be sure to do your own work or risk getting no credit for the assignment.) Present a surface plot of temperature as a function of x and y and compare to the ID solution which is only a function ofx. How much variation in temperature do you observe across the fin in the y- direction? Is the ID assumption reasonable? Explain why or why not. Compare the temperature of the tip of the fin with the solution assuming one-dimensional heat transfer What is the error in assuming 1D heat transfer? c Now let's determine under what conditions the 1D approximation to heat flow in the rib is valid. To do this, extend your analytical solution to a range of aspect ratios 2 L/w