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A group analysis of the 2D Navier–Stokes–Fourier equations

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  • Grassi, V.
  • Leo, R.A.
  • Soliani, G.
  • Tempesta, P.

Abstract

We study a (2+1)-dimensional model of an incompressible thermoconducting fluid named Navier–Stokes–Fourier system. We apply a group-theoretical analysis. In correspondence of the generators of the symmetry group allowed by this model, exact solutions are found. Some of them show possible interesting physical interpretations. In our first exploration, this feature is illustrated by dealing with simple special cases.

Suggested Citation

  • Grassi, V. & Leo, R.A. & Soliani, G. & Tempesta, P., 2001. "A group analysis of the 2D Navier–Stokes–Fourier equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(3), pages 421-434.
    • Handle: RePEc:eee:phsmap:v:293:y:2001:i:3:p:421-434
    DOI: 10.1016/S0378-4371(00)00628-2
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    1. Grassi, V. & Leo, R.A. & Soliani, G. & Tempesta, P., 2000. "Vortices and invariant surfaces generated by symmetries for the 3D Navier–Stokes equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 79-108.
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    Cited by:

    1. Razafindralandy, D. & Hamdouni, A. & Al Sayed, N., 2012. "Lie-symmetry group and modeling in non-isothermal fluid mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4624-4636.

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    1. Razafindralandy, D. & Hamdouni, A. & Al Sayed, N., 2012. "Lie-symmetry group and modeling in non-isothermal fluid mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4624-4636.

    More about this item

    Keywords

    Lie groups; Fluid dynamics;

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