Influence of boundaries on pattern selection in through-flow

D. Roth; P. Buechel; M. Luecke; H. W. Mueller; M. Kamps; R. Schmitz

doi:10.1016/0167-2789(96)00081-4

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Influence of boundaries on pattern selection in through-flow

D. Roth·P. Buechel·M. Luecke·H. W. Mueller·M. Kamps·R. Schmitz

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Abstract

The problem of pattern selection in absolutely unstable open flow systems is investigated by considering the example of Rayleigh-Bénard convection. The spatiotemporal structure of convection rolls propagating downstream in an externally imposed flow is determined for six different inlet/outlet boundary conditions. Results are obtained by numerical simulations of the Navier-Stokes equations and by comparison with the corresponding Ginzburg-Landau amplitude equation. A unique selection process is observed being a function of the control parameters and the boundary conditions but independent of the history and the system length. The problem can be formulated in terms of a nonlinear eigen/boundary value problem where the frequency of the propagating pattern is the eigenvalue. PACS: 47.54.+r, 47.20.Bp, 47.27.Te, 47.20.Ky

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D. Roth, P. Buechel, M. Luecke, H. W. Mueller, M. Kamps, R. Schmitz. 1997-02-12. Influence of boundaries on pattern selection in through-flow. https://doi.org/10.1016/0167-2789(96)00081-4

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