Transient Heat Conduction in Semi-Infinite Solid - Constant Heat Flux
Transient Heat Conduction in Semi-Infinite Solid - Constant Heat Flux
(OP)
Every book I read regarding this topic reports just the final equation in attachment.
Is there anyone who can help me to understand the analytical steps to achieve the final equation in attachment.
Thanks in advance.
Is there anyone who can help me to understand the analytical steps to achieve the final equation in attachment.
Thanks in advance.





RE: Transient Heat Conduction in Semi-Infinite Solid - Constant Heat Flux
RE: Transient Heat Conduction in Semi-Infinite Solid - Constant Heat Flux
Because if you don't, the full derivation won't be of much help.
RE: Transient Heat Conduction in Semi-Infinite Solid - Constant Heat Flux
in Appendix II I found what I was looking for:
what I missed was that the final equation has to be achieved by analytical solution of ierfc,
instead of developing the thermal differential equations of the heat transfer.
I am going to study this point better.
Thanks again
RE: Transient Heat Conduction in Semi-Infinite Solid - Constant Heat Flux
thank you for your reply.
Answering your question, yes I do, though maybe not very much skilled.
Anyway, there is something you could help me to understand.
Talking againg about transient heat conduction,
consider, for instance, the simple case of the constant temperature at the surface.
The heat flux through the body could be obtained:
1) calculating the partial derivative of the temperature function respect the considered direction
2) and using the Leibniz's rule for the derivative of integrals
How to express correctly the error function in terms of differentials of distance and time instead of differential of temperature penetration only?
Well, please find in attachment the exposition of the problem.
A comment from you, or from anyone else interested in this topic, would be very much appreciated.
Many thanks in advance