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- W2071520442 abstract "We investigated the dissipative structure of thermomagnetic convection by microgravity experiments and linear and nonlinear numerical simulations. We carried out microgravity experiments of thermomagnetic convection using a dropshaft facility and investigated the effect of the aspect ratio of the magnetic fluid layer on the pattern formations. We also analysed the onset of convection by the linear stability theory. The nonlinear governing equations are introduced and linearised. The critical magnetic Rayleigh number and the critical wave number are obtained solving the eigenvalue equations by harmonic analysis and the finite difference method. The number of rolls obtained by the linear stability theory agreed with that obtained by the microgravity experiments. Furthermore, we carried out nonlinear analysis of pattern formations induced by thermomagnetic convection. The nonlinear equations were solved by the control volume finite difference method. The flow patterns obtained by the nonlinear calculation coincided with those obtained by the microgravity experiments. The relation between the initial wave numbers of perturbations and the final patterns is investigated and a bifurcation diagram is produced. The critical magnetic Rayleigh number obtained by the nonlinear analysis agreed with that obtained by the linear stability analysis and the bifurcations from one pattern to another are clearly demonstrated as a problem of probability." @default.
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- W2071520442 date "1999-06-30" @default.
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- W2071520442 title "Microgravity Experiment and Linear and Nonlinear Analyses of the Dissipative Structure of Thermomagnetic Convection" @default.
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- W2071520442 doi "https://doi.org/10.1142/s0217979299002137" @default.
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