I have a cubical system that includes many nanoparticles in the center those produces heat in transient state. And the system is kept in the normal environment with stationary air at the boundaries that help in the convective heat transfer. For my simplification, I want to solve this problem in the semi1-D cartesian coordinate system with heat flux at boundary and convection at the other boundary. How can I consider the heat flux? As the generated heat is distributed in 6 different direction, for solving in 1D, can I divided the flux by 6, to consider only in 1-D, or what should I do. Kindly your suggestions are highly appreciated.
Thank you very much.
I suggest you look at the problem a little differently. Assume that the sphere generating heat is enclosed by another sphere that has its outer surface maintained at some temperature. This problem can be solved analytically. What you find is the temperature distribution in the outer shell, from which you can compute the heat flux. This is a problem that is taught to UG Chem Eng. I have attached the lecture notes. Obviously as the radius of the outer shell is increases, the temperature gradient at the outer surface decreases and hence the heat flux. I have attached the notes from my lecture on this subject.
Sir Brian G Higgins Thanks for kind response, I checked the notes you uploaded, actually my problem is transient state problem not a steady satate problem. Thansk for inticipation.
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