{
  "id": "0806.4546",
  "version": "v1",
  "published": "2008-06-27T15:21:35.000Z",
  "updated": "2008-06-27T15:21:35.000Z",
  "title": "Inverse kinetic theory for incompressible thermofluids",
  "authors": [
    "C. Cremaschini",
    "and M. Tessarotto"
  ],
  "comment": "Contributed paper at RGD26 (Kyoto, Japan, July 2008)",
  "doi": "10.1063/1.3076471",
  "categories": [
    "physics.flu-dyn",
    "physics.class-ph"
  ],
  "abstract": "An interesting issue in fluid dynamics is represented by the possible existence of inverse kinetic theories (IKT) which are able to deliver, in a suitable sense, the complete set of fluid equations which are associated to a prescribed fluid. From the mathematical viewpoint this involves the formal description of a fluid by means of a classical dynamical system which advances in time the relevant fluid fields. The possibility of defining an IKT for the 3D incompressible Navier-Stokes equations (INSE), recently investigated (Ellero \\textit{et al}, 2004-2007) raises the interesting question whether the theory can be applied also to thermofluids, in such a way to satisfy also the second principle of thermodynamics. The goal of this paper is to prove that such a generalization is actually possible, by means of a suitable \\textit{extended phase-space formulation}. We consider, as a reference test, the case of non-isentropic incompressible thermofluids, whose dynamics is described by the Fourier and the incompressible Navier-Stokes equations, the latter subject to the conditions of validity of the Boussinesq approximation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-27T15:21:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "52.25.Dg",
      "47.10.ad",
      "47.40.-x",
      "51.10.+y"
    ],
    "keywords": [
      "inverse kinetic theory",
      "3d incompressible navier-stokes equations",
      "relevant fluid fields",
      "phase-space formulation",
      "second principle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 846032,
      "adsabs": "2008AIPC.1084..188C"
    }
  }
}