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Travelling and standing waves in magnetoconvection

By P.C. Matthews and A.M. Rucklidge


The problem of Boussinesq magnetoconvection with periodic boundary conditions is\ud studied using standard perturbation techniques. It is fbund that either travelling\ud waves or standing waves can be stable at the onset of oscillatory convection,\ud depending on the parameters of the problem. When travelling waves occur, a steady\ud shearing flow is present that is quadratic in the amplitude of the convective flow. The\ud weakly nonlinear predictions are confirmed by comparison with numerical solutions\ud of the full partial differential equations at Rayleigh numbers 10% above critical.\ud Modulated waves (through which stability is transferred between travelling and\ud standing waves) are found near the boundary between the regions in parameter space\ud where travelling waves and standing waves are preferred

Year: 1993
OAI identifier: oai:eprints.whiterose.ac.uk:977

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