Tanny, J., and Tsinober, A.(1989)
On the Behavior of a System of Double-Diffusive Layers during its Evolution, Physics of Fluids A, 1(3), pp. 606-609
ABSTRACT
Double diffusive layers, formed by heating a linear stable solute gradient
from one vertical sidewall, undergo a merging process from their initial to
final thickness. This process, excluding the initial and final states, is
different in each of several almost identical experiments, and in this sense
it is said to be chaotic. The variation of the layer thickness during this
process is analyzed and a simple quantitative measure for the level of
chaotic behaviour is suggested and applied for two different sets of
experiments. Each set consists of several almost identical experiments,
and the two sets differ in the wall tempearture rise curve. The results
for the two rise curves considered, namely, linear and exponential, show
a higher level of chaotic behaviour for the exponential curve. The
influence of the heating rate on the thickness variation is also discussed.
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