Timeline for How to modify single phase fluid/solid coupled PDEs to account for a phase change?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 3, 2021 at 15:50 | vote | accept | casualguitar | ||
| Oct 31, 2021 at 20:40 | comment | added | casualguitar | Initial thoughts - it seems like the assumptions made to simplify the right hand side of both equations will remain the same. The difference is that we have a dH/dt term on the left rather than a dT/dt term. Actually, the solid equation will possible be exactly the same (no changing to an enthalpy term). So really we just have to deal with the enthalpy term on the left for the fluid. We can directly sub your equation below for the enthalpy per unit mass in for H in the energy equation. Dealing with simplifying the left hand side here doesnt seem straightforward, so I'll need to think some more | |
| Oct 31, 2021 at 20:31 | comment | added | casualguitar | Ok I've read your solution to the limiting case, and I now understand it (!!). I can see you use the energy conservation equation to get your two starting equations. The manipulation from that point is fine. This is really (and probably still will be for the more complex cases) my biggest point of difficulty - how do you correctly take the mass/momentum/energy equations and get to these starting equations. In regards to somehow including the enthalpy and f in the energy equations, I will spend tomorrow morning looking into this. Any hints appreciated! | |
| Oct 31, 2021 at 19:58 | comment | added | casualguitar | Hi Chet, just checking if you're still getting notifications for this post. If you are, then I'd like to discuss this model some more if this is ok with you. I've read Bird and have taken an initial look at another paper that models flow like this. I'm now at a point that I can begin to discuss the equations above. I'll aim to post a comment tomorrow with my updated understanding of the problem | |
| Oct 18, 2021 at 13:25 | comment | added | casualguitar | Understood. Thank you for the in depth explanation. We should also add that this is valid for T < Tsat I think, given that we don't have a phase change term yet. My initial thought is that if we were to add a phase change term, we would have to include some mechanism to make that term = 0 at everywhere except the point of phase change. So either there is a way to to do this with your equation above, or we need to have an 'if statement' of sorts in the model that says 'use the phase change equation if T=Tsat'. Does this sound right? I'm currently working my way through Transport Phenomena | |
| Oct 15, 2021 at 14:23 | history | answered | Chet Miller | CC BY-SA 4.0 |