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- W1966678516 abstract "The non-Darcy effects on the vortex instability of natural convection e ow over a horizontal e at plate embedded in a high-porosity medium are examined. These effects include the form-drag, viscous diffusion, and convective terms in the conservation equations. The instability analysis is conducted by employing the linear theory in conjunction with a nonparallel e ow model, which takes into account both the streamwise and transverse variations of thedisturbanceamplitude functions. Theresulting system of partial differential equations forthedisturbance amplitudefunctionsisconverted to asystemofhomogeneouslinearordinary differentialequationswithhomogeneous boundary conditions by the local nonsimilarity method. This results in an eigenvalue problem that is solved by an implicit e nite difference method. The numerical results indicate that all of the three non-Darcy effects examined in the present study reduce the surface heat transfer rate as compared to the case of pure Darcy e ow. These effects also renderthee ow to become more stable to the vortex mode ofinstability. Representative neutral stability curves and critical Grashof numbers are presented. It is found that the parallel e ow model underpredicts the onset of thermal instability, that is, it provides lower critical Grashof numbers than the nonparallel e ow model." @default.
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- W1966678516 date "2003-04-01" @default.
- W1966678516 modified "2023-10-14" @default.
- W1966678516 title "Non-Darcy Effects on Nonparallel Thermal Instability of Horizontal Natural Convection Flow" @default.
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- W1966678516 doi "https://doi.org/10.2514/2.6770" @default.
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