caa a22 4500 463162900 CHVBK 20180406164753.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11242-006-9078-z doi (NATIONALLICENCE)springer-10.1007/s11242-006-9078-z Flow instability in a curved porous channel formed by two concentric cylindrical surfaces [Elektronische Daten] [A. Avramenko, A. Kuznetsov] Stability of laminar flow in a curved channel formed by two concentric cylindrical surfaces is investigated. The channel is occupied by a fluid saturated porous medium; the flow in the channel is driven by a constant azimuthal pressure gradient. The momentum equation takes into account two drag terms: the Darcy term that describes friction between the fluid and the porous matrix, and the Brinkman term, which allows imposing the no-slip boundary condition at the channel walls. An analytical solution for the basic flow velocity is obtained. Numerical analysis is carried out using the collocation method to investigate the onset of instability leading to the development of a secondary motion in the form of toroidal vortices. The dependence of the critical Dean number on porosity and the channel width is analyzed. Springer Science+Business Media, Inc., 2006 Curved channel nationallicence Laminar flow nationallicence Dean vortex nationallicence Centrifugal instability nationallicence Avramenko A. Institute of Engineering Thermophysics, National Academy of Sciences, 03057, Kiev, Ukraine aut Kuznetsov A. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, 27695-7910, Raleigh, NC, USA aut Transport in Porous Media Kluwer Academic Publishers 69/3(2007-09-01), 373-381 0169-3913 69:3<373 2007 69 11242 https://doi.org/10.1007/s11242-006-9078-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9078-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Avramenko A. Institute of Engineering Thermophysics, National Academy of Sciences, 03057, Kiev, Ukraine aut NATIONALLICENCE 700 1- Kuznetsov A. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, 27695-7910, Raleigh, NC, USA aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 69/3(2007-09-01), 373-381 0169-3913 69:3<373 2007 69 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer