Bifurcation phenomena and chaos in thermal convection: presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, California, November 8-13, 1992
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Bifurcation Phenomena for the Damped Bubble Oscillations in Periodically Driven Pressure Fields
The Breakdown of Laminar Buoyant Plume Flows Around Heated Horizontal Cylinders
Flow Multiplicity in Natural Convection in Cylindrical Annuli
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amplitude aspect ratios attractor Aubry axis behavior bifurcation diagram Bifurcation Phenomena boundary conditions Boussinesq approximation buoyancy force cell chaotic chaotic advection coefficient coil component computations constant convection rolls corresponding critical Rayleigh number cylinder decomposition dimensional dislocations dispersive chaos dynamics energy entropy evolution experimental experiments Figure finite Fluid Mech four-eddy solution function governing equations grid heat flux heat transfer horizontal increases initial conditions instability isothermal Kolodner large-scale layer linear longitudinal rolls low frequency magnetic field mass fraction mixed mode moderate size containers motion Navier-Stokes equations non-dimensional nonlinear Nusselt observed obtained oscillation parameter period period-doubling phase plane pitchfork bifurcation plane Prandtl number radius Rayleigh number Rayleigh-Benard convection Reynolds number Riahi RLO sequences scale secondary bifurcation segregation coefficient separatrix separatrix loop shown sidewalls small-scale spatial stability stream function symmetry temporal Thermal Convection turbulence two-eddy variable density formulation vector velocity vertical wave wavenumber