Abstract
Thermally driven flows in a two-dimensional rectangular cavity filled with a fluid-saturated porous medium are considered when the applied temperature difference is perpendicular to the gravity vector. The flow depends on two non-dimensional parameters, the Darcy–Rayleigh number A and the cavity aspect ratio h (height/length). Steady motion is generated by maintaining the vertical sidewalls at different constant temperatures and the present study is concerned with the limit of large aspect ratio, h –> ∞, where nonlinear convective flow occurs near each end of the cavity. This flow is analysed by asymptotic methods for small and large values of A and is computed numerically for other values of A . Predictions of the heat transfer across the cavity are obtained and are compared with the results of full numerical simulations.
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
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