Nonlinear oscillatory convection in rotating mushy layers

Riahi, Daniel N.

Permalink

https://hdl.handle.net/2142/1710 Copy

Description

Title

Nonlinear oscillatory convection in rotating mushy layers

Author(s)

Riahi, Daniel N.

Issue Date

2006

Keyword(s)

Convection

Abstract

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.

Publisher

Cambridge University Press

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/1710

DOI

https://doi.org/10.1017/S0022112006009037

Copyright and License Information

Copyright owned by Cambridge University Press 2006.

Owning Collections