Question

Problem 1 (8 marks)-2D heat transfer Solve problem 9.11 from the Moaveni textbook (3rd ed.), pg. 496-497. 20 mm Triangular Al fins are used to remove heat from a surface which is kept at 150°C. The surrounding air is kept at 20°C. The natural heat transfer coefficient associated with the surrounding air is 30 W/m2.K. The thermal conductivity of aluminum is k-168 L W/m.K. Determine the temperature distribution along one fin and determine the total heat loss for one such fin 90 mm Use Matlab/Mathematica or any other program to assemble all the matrices and solve, rather than by hand. Show results during the intermediate steps, as well as outputs of the program as relevant.

Answer 1

The above problem is related to heat transfer through fins with finite length.

As we have formulas regarding fins of finite we use those formulas to obtain the final answer.

These methods can be used for further solving fin problems.

The above mentioned methods are shown in the image below:

hiom given, 150"С lettbonskr co-efficient (h) : 30 w_.k in o It- tip tionle KAAs onle Sinte given ǐn is tle sta Sultituhing P y A values in M t Ge lo 68 X 1800 Abus Substitute the above in beak oss eawation Thk h,h.emreathae encl Ae tosh (mL coshCo.149 (90-10) 1.30