Select language: En
0
2013
Impact Factor

    About qualitative difference of solutions of two-dimensional and three-dimensional convection

    2009, Vol. 5, No. 2, pp.  183-203

    Author(s): Palymskiy I. B.

    The problem of 2-D and 3-D convection of viscous and incompressible fluid between two horizontal stress-free isothermal planes at heating from below has been considering. It is received that in 3-D turbulent convection the mean vorticity scale decreases at growing supercriticality, but in 2-D convection the mean vorticity scale grows and it does the 2-D convection more large-scale and smooth. The growing of the mean vorticity scale at increasing supercriticality $r$ in 2-D convection is conditioned by the red (inverse) energy cascade formed at $r > 4000$ and transferring the kinetic energy from generation scale to the large scales. The appearance of the red cascade is conditioned by additional conservation law for enstrophy in 2-D flows.



    Keywords: simulation, hydrodynamics, convection, energy, cascade
    Citation: Palymskiy I. B., About qualitative difference of solutions of two-dimensional and three-dimensional convection, Rus. J. Nonlin. Dyn., 2009, Vol. 5, No. 2, pp.  183-203
    DOI:10.20537/nd0902003


    Download About qualitative difference of solutions of two-dimensional and three-dimensional convection
    PDF, 1004.25 Kb