Bifurcation, period dubling and hysteresis in mixed convection in a cavity

Deshpande, MD and Srinidhi, BG (2005) Bifurcation, period dubling and hysteresis in mixed convection in a cavity. Technical Report. National Aerospace Laboratories, Bangalore, India.

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    Abstract

    Mixed convection in a cavity formea oy a rectangular parallelepiped of spanwise aspect rhti three has been studied by solving the Navier-Stokes and the energy equations undei on. Buoyancy forces are due to the heating of the bottom wail on of the top lid. Attention is specially paid to the appearance ed convection in a cavity formea oy a rectangular parallelepiped of spanwise aspect rhti three has been studied Boussinesq approximati forcing due to the motic periodic motion which was observed in a narrow band of Kavleigh number Ka for a given value of Reynolds steady upto a increase in Ra ieaas to a small ana smootn increase in the penoa wnlcn suaaeniy aoubies clue to13; a bifurcatioi associated F little bit. This slow ana graauai pnenomenon also resuirs in me nysteresis, the Dounaanes or this domain being difficult to identify. The classical features of a dynamical system like bifurcation,13; hysterisis and period doubling usually observed in the phase mace are seen here in the Dhvsical space of the cavity.d to be :c in timc number Re, which has been selectec bout Ra = 90,000 becoming periodit 2000 for extensive study. Flow remains e for a slightly higher value. A gradual n around a value of Ra = 94,500. vith a smooth and gradual drift of This sudden change in the bifurcation diagram is the periodic solution by alternate cycles drifting a little bit. This slow ana graauai pnenomenon also resuirs in me nysteresis, tne Dounaanes or this domain being difficult to identify. The classical features of a dynamical system like bifurcation,13; hysterisis and period doubling usually observed in the phase mace are seen here in the physical space of the cavity.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Navier-strokes equations;Periodic;Hysteresis;flow symmetry;Nusselt number;Convection.
    Subjects: AERONAUTICS > Aeronautics (General)
    Division/Department: Computational and Theoretical Fluid Dynamics Division, Computational and Theoretical Fluid Dynamics Division
    Depositing User: Ms Indrani V
    Date Deposited: 03 Feb 2009
    Last Modified: 24 May 2010 09:39
    URI: http://nal-ir.nal.res.in/id/eprint/842

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