I have been justly criticized for having an oversimplified thermal model in
Now I'd like to fix that, but I'm no thermodynamicist. Is it possible to generate, and does anyone have, or have links to, a good example thermal model for something like a solid bar heated at one end and measured at the other, or a stirred flask. Something that has a closed-form, linear differential equation would be nice (but discrete parameters aren't necessary -- I'll probably survive partial differential equations). I need something that I can generate frequency responses and impulse responses from yet is still "nasty" enough to be considered a proper thermal model.
If you guys let me down I'll probably just use a 2nd-order heavily damped lowpass (like in the article) with lots of pure delay added.
Thanks.