# Non-Isothermal Flows

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 November 21, 2001, 17:31 Non-Isothermal Flows #1 Juliana Guest   Posts: n/a Hi, Could anyone suggest some reference about free surface non-isothermal flows? Thanks very much, Juliana.

 November 27, 2001, 11:32 Re: Non-Isothermal Flows #2 Patrick Godon Guest   Posts: n/a Hi Juliana, I see nobody answered your posting, so I can try to help, mainly with the non-isothermal part of the question and the physical aspect of all that. I am not quite sure what kind of free surface flow you are dealing with, though I did some work on flows like atmospheres/oceans types, where the free surface of the flow is subject to 'gravity' waves. Back to non-isothermal, are you interested in other approximation like polytropic, barotropic, or ideal gas equations with energy equations, etc..?? Cheers, Patrick

 November 29, 2001, 06:02 Re: Non-Isothermal Flows #3 Juliana Guest   Posts: n/a Hi Patrick, Thanks for you answer, but I work with incompressible non-isothermal free-surface. Do you know some reference about this problem ? Cheers, Juliana.

 November 29, 2001, 10:45 Re: Non-Isothermal Flows #4 Patrick Godon Guest   Posts: n/a Hi, I have been working in the 'long'wave' approximation using the shallow water equations to model free surface non-isothermal incompressible flow. On a large scale, the ocean and the atmosphere can be modeled as free surface incompressible and they are non-isothermal. In this regime the three dimensional incompressible flow (of the atmosphere for example) can be modeled with a compressible two-dimesional model, since the pressure adds an extra degree of freedom. This extra degree of freedom can be used to model the heigth of the flow for example. So I am not sure under which conditions you are working, but most probably on a smaller scale, like modeling boats on the water, etc..? If the shallow water approximation is not for you, then you can try make a seach on the web, on yahoo or whatsover, or maybe someone here has more to say. Anyhow, check also this web site on free-surface flow: http://dmawww.epfl.ch/rappaz.mosaic/animations/dam.html Cheers, Patrick

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