Abstract
Boundary layer convection induced by heating uniformly a semi-infinite surface embedded in a fluid-saturated porous medium is considered. Numerical simulations of the full two-dimensional governing equations are described for the case of a horizontal heated surface. Two-dimensional waves are generated continuously near the leading edge and the flow there is essentially periodic. Further downstream cell-merging serves to make the evolving waves comparable in size with the basic boundary layer width. Occasionally hot fluid is ejected from the boundary layer as a result of cellular collision. The long-term dynamics seems to be chaotic as the Lyapunov exponent is positive. Three-dimensional effects are discussed briefly as are the separate effects of different angles of inclination and mixed convection.
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© 1994 Springer-Verlag, Berlin Heidelberg
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Rees, D.A.S. (1994). Numerical Simulation of Thermal Boundary Layer Instabilities in Porous Media. In: Lin, S.P., Phillips, W.R.C., Valentine, D.T. (eds) Nonlinear Instability of Nonparallel Flows. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85084-4_21
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DOI: https://doi.org/10.1007/978-3-642-85084-4_21
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