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ORIGINAL PAPER
The Complex Ginzburg Landau Model for an Oscillatory Convection in a Rotating Fluid Layer
1
Department of Mathematics, VFSTR, Guntur Vadlamudi-522213, Andhra Pradesh, India
2
Department of Mathematics, Chaitanya Bharathi Institute of Technology, Gandipet, Hyderabad, Telangana-500075, India
3
Department of Applied Mathematics, Babasaheb Bhimrao Ambedkar University, VidyaVihar, Raebareli Road, Lucknow - 226025, India
Online publication date: 2020-03-12
Publication date: 2020-03-01
International Journal of Applied Mechanics and Engineering 2020;25(1):75-91
KEYWORDS
ABSTRACT
A weakly nonlinear thermal instability is investigated under rotation speed modulation. Using the perturbation analysis, a nonlinear physical model is simplified to determine the convective amplitude for oscillatory mode. A non-autonomous complex Ginzburg-Landau equation for the finite amplitude of convection is derived based on a small perturbed parameter. The effect of rotation is found either to stabilize or destabilize the system. The Nusselt number is obtained numerically to present the results of heat transfer. It is found that modulation has a significant effect on heat transport for lower values of ωf while no effect for higher values. It is also found that modulation can be used alternately to control the heat transfer in the system. Further, oscillatory mode enhances heat transfer rather than stationary mode.
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