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Pattern formation in inclined layer convection

Daniels1, Plapp, Bodenschatz

  • 1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.

Physical Review Letters
|September 16, 2000
PubMed
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Experiments reveal new chaotic states in inclined fluid convection. Diverse nonlinear phenomena, including rolls and oscillations, emerge across various angles and instability transitions.

Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics
  • Heat Transfer

Background:

  • Thermally driven convection is fundamental in many natural and industrial processes.
  • Understanding complex fluid behaviors, especially in inclined systems, remains a challenge.
  • Previous studies often focused on simpler geometries or different fluid properties.

Purpose of the Study:

  • To investigate nonlinear phenomena in thermally driven convection.
  • To characterize new spatiotemporally chaotic states in inclined fluid layers.
  • To explore the transition between buoyancy- and shear-driven instabilities.

Main Methods:

  • Experimental setup involving an inclined fluid layer with a large aspect ratio.
  • Utilized a fluid with a Prandtl number (sigma) close to 1.

Related Experiment Videos

  • Systematic variation of inclination angles and observation of resulting flow patterns.

    • Main Results:

    • Observed diverse nonlinear states, including longitudinal rolls, subharmonic oscillations, Busse oscillations, undulation chaos, and crawling rolls at small inclination angles.
    • Identified drifting transverse rolls, localized bursts, and drifting bimodals near the buoyancy- to shear-driven instability transition.
    • Documented drifting transverse rolls and switching diamond panes for angles past vertical with heating from above.

    Conclusions:

    • Inclined fluid layers exhibit rich nonlinear dynamics and complex chaotic states.
    • The transition from buoyancy- to shear-driven instability leads to distinct flow regimes.
    • New nonlinear phenomena were discovered, expanding the understanding of convective instabilities.