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5-Regular Member
November 10, 2014
Solved

Solving Differential Equations as functions - Combined Heat Transfer

  • November 10, 2014
  • 7 replies
  • 5888 views

Hello,

I am currently looking at combined heat transfer (radiation - convection - conduction). When radiation is considered, the differential equation becomes non-linear, and thus I figured using MathCad would be great for solving the DEQ as a function of parameters.

As a note, the text I am using/refering to is: Thermal Radiation Heat Transfer 5th Ed. by Howell & Siegel, Chapter 7.

This chapter is mainly dealing with numerical solutions and setting up the equations, but I would like to know how to solve them using MathCad.

Attached is a worksheet and a few pictures of the example problems I am trying to solve, in which there is a graph showing the solutions. I am hoping I can get Mathcad to solve the equations as a function of parameters.

Best answer by Werner_E

The attached shet should help!

7 replies

Werner_E
Werner_E25-Diamond IAnswer
25-Diamond I
November 10, 2014

The attached shet should help!

jroth5-Regular MemberAuthor
5-Regular Member
November 11, 2014

Werner,

Thank you for the response. It was exactly what I was looking for. I assumed it would take a long time to calculate as we have to solve the ODE for each plot.