Onset of convection in a very compressible fluid: The transient toward steady state

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 5, 2002, Pages 8-

  Meyer, Horst ^a   Kogan, Andrei B ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE FLUIDS; FLUID LAYERS; RAYLEIGH NUMBERS; TEMPERATURE GRADIENTS;

BOUNDARY LAYERS; COMPUTER SIMULATION; HYDRODYNAMICS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; THERMAL DIFFUSION; THERMAL GRADIENTS;

FLOW OF FLUIDS;

ARTICLE;

EID: 20444402344     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.056310     Document Type: Article

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28. We are indebted to D. Schaeffer of the Duke U. Mathematics Department for producing an equation expressing the observed (Formula presented) signal in terms of an input signal modified by an instrumental time constant shorter than (Formula presented)
29. The anomalous behavior observed at the highest values of (Formula presented) is not understood and will not be considered further here.
30. This diffusion time is as defined in Ref. 15, and differs from the usual diffusive time (Formula presented) in ordinary fluids by a factor of 4. This is because (Formula presented) is chosen for the situation of a supercritical fluid where (Formula presented) and for relaxation at constant density. Under such conditions, the relaxation time is four times shorter than when (Formula presented) (see Ref. 19).
31. A tabulation of scaled values of (Formula presented) and (Formula presented) is available from one of us (H.M.) for the temperature range (Formula presented) Here the relevant values of (Formula presented) are given for each (Formula presented)