Recent content by huangdaiyu

Thank you. That is very interesting. I will look into that. Going back to the example of Rayleigh convection, is there a way to predict convection cells without having to solve the equations of motion? That was what I was hoping for in guessing that the steady flow solutions for a confined...

Wow that is an interesting counterexample. Is it from a textbook by chance? I would like to look it up to visualize and understand it better.

Correct, I did not think about turbulent flow. And yes those are my assumptions. Whatever is necessary to make the velocity, pressure, and density fields independent of time.

No, I suppose it would not be. So that is a third option I did not consider. What if we restrict to non-chaotic flow regime? Is my assumption true then? Can it be "proved" (like in physics textbooks, not necessarily very rigourous)? All I can give so far is informal arguments. Such as, a...

For a fluid that is confined to a finite region with no sources and sinks, are the only options for the flow field a) static, and b) cyclic? The example I have in mind is Rayleigh convection in a shallow dish heated from below, where convection cells are formed beyond a certain temperature...