Rayleigh-Benard Convection

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ChaosSystem is truly chaotic in the sense of a positive Lyapunov exponentδu = separation of two initially nearby trajectories, t = time10 30 λ = slope =0.078t10 20δ u10 1010 0200 400 600 800Jayaraman, Scheel, Greenside and Fischer, PRE, 74
Visualization of temperature fieldcolor density plotNo rotation, smaller cell
Page 2: What is pattern formation?• Many
Page 6 and 7: Examples from the laboratory• Bel
Page 8 and 9: Examples from the laboratory• Bel
Page 11 and 12: Rayleigh-Bénard Convectionphotos c
Page 13 and 14: Stability DiagramFor Rayleigh-Béna
Page 15 and 16: Domain ChaosSupercomputer solutions
Page 17 and 18: Domain chaosParameters are exactly
Page 19 and 20: Centrifugal Force cannot be neglect
Page 21: Other work-Lyapunov Exponents• Ch
Page 25 and 26: Visualization of temperature pertur
Page 27 and 28: Future work• Short Term- Incorpor

Rayleigh-Benard Convection

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