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- Abstract
- In this talk we elaborate on the structure of the hydrodynamic and thermal boundary layers that are developed during forced flow in a porous domain situated above a flat plate. The main feature of these layers is that are not self-similar. The porous medium is treated as a continuum with a given porosity. The flow model incorporates a Darcy-Forchheimer law for the interphasial drag and takes into account the thermal non-equilibrium between the two phases. First we derive the boundary-layer equations for the problem in hand and elaborate on the profile of the free-stream velocity. Then we present numerical results for both hydrodynamic and thermal boundary layers, obtained via the local non-similarity numerical method. For sufficiently small external forcing, the thickness of the hydrodynamic boundary layer initially increases, reaches a peak and then decreases towards its terminal value. This unusual feature is attributed to the rapid decrease of the free-stream velocity due to the interphasial drag. With regard to the thermal layers, our computations show that the temperature difference between the two phases is substantial, especially at short and moderate distances from the edge of the flat plate. Also, thermal non-equilibrium results in significant difference between the thicknesses of the thermal layers of the two phases.
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Papalexandris, M. (2023). Boundary-layer analysis for forced convection in a porous domain above a flat plate. 76th Annual Meeting of the Division of Fluid Dynamics, APS, Washington DC. https://hdl.handle.net/2078.5/101612