Some Provocative Unresolved Problems
in Rayleigh-Benard Convection: Guenter Ahlers, University of
California, Santa Barbara
This talk will address a number of experimental
observations or measurements pertaining to pattern formation in Rayleigh-B\'enard
convection (RBC) which fall into one or both of the following categories:
1.) They seem interesting but have never
been addressed theoretically
2.) They disagree with theoretical predictions.
Included are:
a.) the re-emergence of relatively simple
patterns in cylindrical samples at large Rayleigh numbers
b.) Unorthodox correlation-length scaling
and defect formation in domain chaos, i.e. in RBC with rotation
c.) Formation of "squares" where K\"uppers-Lortz-unstable
rolls are predicted in RBC with rotation
d.) A subcritical bifurcation without hysteresis
in RBC with rotation
e.) Absence of convection above a predicted
Hopf bifurcation in RBC with rotation