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5-Regular Member
September 27, 2013
Question

3D Plots of a summation of infinite series - Heat Transfer

  • September 27, 2013
  • 2 replies
  • 1856 views

Hello,

I recently purchased the eduacation edition to assist me through graduate school. As such, I have had an interest in re-solving my heat transfer problems from last semester. However, I am having difficulties in solving Theta and plotting Theta for a given boundary conditions.

Attached is my MathCAD sheet along with an execl file which calculates the correct distribution. I have also attached a finite elements excel sheet which correctly predicts the temperature distribution as well. Additionally, I have also attached a MatLab sheet (including jpegs) of the plots I am required to make.

I am mainly focused on the Theta plots right now, and will follow up with the heat flux plots.

I would appreciate any imput in what is wrong with the MathCAD sheet and what I am over looking. The main problem appears to be the theat calculation when given a set of number and that the plot will not occur until this is fixed.

Jake

2 replies

19-Tanzanite
September 27, 2013

a and b are lengths - you don't really want to set them both to zero! Also, best just to consider one pair at a time.

The calculations will take forever if you sum to infinity! 10 is a pretty good stand in for infinity here! You can play with this limit until you are satisfied you have convergence.

See attached.

Alan

PS Don't confuse x and y values, which will run from 0 to a and 0 to b, with the values of a and b themselves.

jroth5-Regular MemberAuthor
5-Regular Member
September 27, 2013

Thank you. That greatly helped.