Consider the symmetrical section of the flow channel of Problem 4.57, with the prescribed values…

Consider the symmetrical section of the flow channel of Problem 4.57, with the prescribed values of q . , k, T∞,i , T∞,o, hi , and ho. Use the finite-element method of FEHT to obtain the following results.

(a) Determine the temperature distribution in the symmetrical section, and use the View/Temperature Contours command to represent the isotherms. Identify significant features of the temperature distribution, including the hottest and coolest regions and the region with the steepest gradients. Describe the heat flow field.

(b) Using the View/Heat Flows command, calculate the heat rate per unit length (W/m) from the outer surface A to the adjacent fluid.

(c) Calculate the heat rate per unit length from the inner fluid to surface B. 

(d) Verify that your results are consistent with an overall energy balance on the channel section.