Topic
Darcy number
About: Darcy number is a research topic. Over the lifetime, 1518 publications have been published within this topic receiving 37534 citations.
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TL;DR: In this article, the effects of a solid boundary and the inertial forces on flow and heat transfer in porous media were analyzed, and a new concept of the momentum boundary layer central to the numerical routine was presented.
1,427 citations
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TL;DR: In this article, a generalised non-Darcian porous medium model for natural convective flow has been developed taking into account linear and non-linear matrix drag components as well as the inertial and viscous forces within the fluid.
498 citations
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TL;DR: In this paper, a systematic analysis of the variances among diAerent boundary conditions establishes the convergence or divergence among competing models, and a set of correlations are given for interchanging the interface velocity and temperature as well as the average Nusselt number among various models.
435 citations
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TL;DR: In this paper, the free convection of magnetic nanofluid in a porous curved cavity is investigated, and an innovative numerical approach, namely CVFEM, is applied to evaluate the effect of Darcy number (Da ), Rayleigh ( Ra ), Hartmann ( Ha ) numbers and volume fraction of Fe 3 O 4 ( ϕ ) on hydrothermal characteristics.
331 citations
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TL;DR: In this paper, experimental observations of liquid microchannel flows are reviewed and results of computer experiments concerning channel entrance, wall slip, non-Newtonian fluid, surface roughness, viscous dissipation and turbulence effects on the friction factor are discussed.
Abstract: Experimental observations of liquid microchannel flows are reviewed and results of computer experiments concerning channel entrance, wall slip, non-Newtonian fluid, surface roughness, viscous dissipation and turbulence effects on the friction factor are discussed. The experimental findings are classified into three groups. Group I emphasizes 'flow instabilities' and group II points out 'viscosity changes' as the causes of deviations from the conventional flow theory for macrochannels. Group III caters to studies that did not detect any measurable differences between micro- and macroscale fluid flow behaviors. Based on numerical friction factor analyses, the entrance effect should be taken into account for any microfluidic system. It is a function of channel length, aspect ratio and the Reynolds number. Non-Newtonian fluid flow effects are expected to be important for polymeric liquids and particle suspension flows. The wall slip effect is negligible for liquid flows in microconduits. Significant surface roughness effects are a function of the Darcy number, the Reynolds number and cross-sectional configurations. For relatively low Reynolds numbers, Re < 2000, onset to turbulence has to be considered important because of possible geometric non-uniformities, e.g., a contraction and/or bend at the inlet to the microchannel. Channel-size effect on viscous dissipation turns out to be important for conduits with Dh < 100 µm.
300 citations