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Please use this identifier to cite this item:
http://hdl.handle.net/2142/1710
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| Title: |
Nonlinear oscillatory convection in rotating mushy layers |
| Authors: |
Riahi, Daniel N. |
| Keywords: |
Convection |
| Issue Date: |
2006 |
| Publisher: |
Cambridge University Press |
| Citation Information: |
D.N. Riahi (2006) Nonlinear oscillatory convection in rotating mushy layers. Journal of Fluid Mechanics 553, 389–400. |
| Abstract / Summary: |
We consider the problem of nonlinear oscillatory convection in a horizontal mushy
layer rotating about a vertical axis. Under a near-eutectic approximation and the
limit of large far-field temperature, we determine the stable and unstable oscillatory
solutions of the weakly nonlinear problem by using perturbation and stability analyses.
It was found that depending on the values of the parameters, supercritical simple
travelling modes of convection in the form of hexagons, squares, rectangles or rolls
can become stable and preferred, provided the value of the rotation parameter τ is
not too small and is below some value, which can depend on the other parameter
values. Each supercritical form of the oscillatory convection becomes subcritical as τ
increases beyond some value, and each subcritical form of the oscillatory convection
is unstable. In contrast to the non-rotating case, qualitative properties of the left travelling
modes of convection are different from those of the right-travelling modes,
and such qualitative difference is found to be due to the interactions between the
local solid fraction and the Coriolis term in the momentum-Darcy equation. |
| URI: |
http://hdl.handle.net/2142/1710 |
| DOI: |
10.1017/S0022112006009037 |
| Type of Resource: |
text |
| Genre of Resource: |
article |
| Publication Status: |
published or submitted for publication |
| Peer-Reviewed: |
is peer reviewed |
| Appears in Collections: |
Theoretical and Applied Mechanics (TAM) Published Papers
|
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