Welcome to the OpenPNM Discussions Forum

[jgostick]

Github added the Discussions feature earlier this year and it is amazing! This allows us to finally separate bug reports from help requests, which keeps the issue list much cleaner (and less stressful!) ¹. So please go ahead and ask your question. One of the developers will try to answer it in a timely fashion. Also feel free to answer any questions you see too. Just like stackoverflow, anyone can answer a question.

Footnotes

1. The best part is that we can transfer items back and forth, so if you think you have question, but it actually ends up being a bug, we can just move it! ↩

[engphb]

Hello my friend, how are you?
I didn't understand some equations in the following code example.
https://github.com/PMEAL/OpenPNM/blob/dev/examples/simulations/steady_state/continuum_heat_transfer.ipynb

In line 5 you putted this equation: T_in = 30np.sin(np.pipn['pore.coords'][inlets, 1]/5)+50

Could you explain to me the origin of this equation?

And in line 8 you putted this equation: soln = 30np.sinh(np.piX/5)/np.sinh(np.pi/5)np.sin(np.piY/5) + 50

Could you explain to me the origin of this equation?

Regards.

[jgostick]

This is just inputting a sinusoidal boundary condition for the temperature, and the second one is the analytical solution for this case. This is just standard solutions from a conduction heat transfer textbook.

[engphb]

Could you give me the name of this book?

[jgostick]

I don't remember, but any book on heat conduction will have the solution to 2D conduction in a plane.

[engphb]

Ok professor, thank you.