Thursday 20 Mar 2014The onset of thermal convection in a rectangular container

Prof Funakoshi - Kyoto University

Harrison 103 15:00-16:00

The widely known problem of onset of thermal convection
in a container is examined in detail with high accuracy.
That is, the onset of three-dimensional thermal convection
of a fluid in a rectangular cavity is examined for various
values of its aspect ratios under the assumption of rigid walls
with perfect thermal conductance.
The critical Rayleigh number, at which a motionless state
becomes unstable, and the flow patterns of most unstable modes
are calculated numerically with high accuracy using a Galerkin
spectral method.
A few interesting results on the dependences of critical Rayleigh
number and flow patterns of most unstable modes on the aspect
ratios are reported in this talk.

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