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Theoretical Project nos.  
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20. Topics in turbulence (MPhil or PhD)

Prof. Ching, E.S.C. , Room 344, 2609 6305, E-mail: ching@phy.cuhk.edu.hk

One or two students may be admitted to work on projects in turbulence. We are currently interested in various issues in turbulent thermal convection confined in a closed box. These include (i) scaling behavior (see, for example, [1] for a review), the aspect-ratio dependence of heat transport [2], and the possible existence of a so-called ˇ§ultimate stateˇ¨ at high Rayleigh number [3]. We are also interested in understanding the similarities and differences of drag reduction by flexible and rodlike polymers [4,5].

References:
  1. E.S.C. Ching, "Intermittency and scaling in turbulent convection", Acta Mechanica Sinica 19, pp. 385-393 (2003).
  2. E.S.C. Ching and W.S. Tam, "Aspect-ratio dependence of heat transport by turbulent Rayleigh-B?nard convection", Journal of Turbulence 7, pp. 072(1-10) (2006).
  3. D. Lohse and F. Toschi, "Ultimate state of thermal convection", Physical Review Letters 90, pp. 034502(1-3) (2003).
  4. R. Benzi, E.S.C. Ching, T.S. Lo, V.S. L'vov and I. Procaccia, "Additive equivalence in turbulent drag reduction by flexible and rodlike polymers", Physical Review E 72, pp. 016305(1-8) (2005).
  5. E.S.C. Ching, T.S. Lo and I. Procaccia, "Turbulent drag reduction by flexible and rodlike polymers: Crossover effects at small concentrations", Physical Review E 74, pp. 026301(1-6) (2006).