%0 Journal Article %1 Revnic2009Free %A Revnic, C. %A Grosan, T. %A Pop, I. %A Ingham, D. B. %D 2009 %J International Journal of Thermal Sciences %K 2009-apr-read-list bidisperse natural-convection numerical porous %R 10.1016/j.ijthermalsci.2009.02.016 %T Free convection in a square cavity filled with a bidisperse porous medium %U http://dx.doi.org/10.1016/j.ijthermalsci.2009.02.016 %X The classical problem of steady Darcy free convection in a square cavity filled with a porous medium has been extended to the case of a bidisperse porous medium (BDPM) by following the recent model proposed by Nield and Kuznetsov D.A. Nield, A.V. Kuznetsov, Natural convection about a vertical plate embedded in a bidisperse porous medium, Int. J. Heat Mass Transfer 51 (2008) 1658–1664 and Rees et al. D.A.S. Rees, D.A. Nield, A.V. Kuznetsov, Vertical free convective boundary-layer flow in a bidisperse porous medium, ASME J. Heat Transfer 130 (2008) 1–9. The transformed partial differential equations in terms of the dimensionless stream function and temperature are solved numerically using a finite-difference method for some values of the governing parameters when the Rayleigh number Ra is equal to 10 2 and 10 3 . Results are presented for the flow field with streamlines, temperature field by isotherms and heat transfer by local and mean Nusselt numbers are presented for both the f- and p-phases. It is found that the most important parameters that influence the fluid flow and heat transfer are the inter-phase heat transfer parameter H and the modified thermal conductivity ratio parameter γ .

@article{Revnic2009Free, abstract = {The classical problem of steady Darcy free convection in a square cavity filled with a porous medium has been extended to the case of a bidisperse porous medium (BDPM) by following the recent model proposed by Nield and Kuznetsov [D.A. Nield, A.V. Kuznetsov, Natural convection about a vertical plate embedded in a bidisperse porous medium, Int. J. Heat Mass Transfer 51 (2008) 1658–1664] and Rees et al. [D.A.S. Rees, D.A. Nield, A.V. Kuznetsov, Vertical free convective boundary-layer flow in a bidisperse porous medium, ASME J. Heat Transfer 130 (2008) 1–9]. The transformed partial differential equations in terms of the dimensionless stream function and temperature are solved numerically using a finite-difference method for some values of the governing parameters when the Rayleigh number Ra is equal to 10 2 and 10 3 . Results are presented for the flow field with streamlines, temperature field by isotherms and heat transfer by local and mean Nusselt numbers are presented for both the f- and p-phases. It is found that the most important parameters that influence the fluid flow and heat transfer are the inter-phase heat transfer parameter H and the modified thermal conductivity ratio parameter γ .}, added-at = {2009-06-26T20:06:47.000+0200}, author = {Revnic, C. and Grosan, T. and Pop, I. and Ingham, D. B.}, biburl = {https://www.bibsonomy.org/bibtex/2edea76d3f7894cbf5315b6d52c3913a4/ommachi}, citeulike-article-id = {4301606}, doi = {10.1016/j.ijthermalsci.2009.02.016}, interhash = {5864d1320621adff6fced18043faf345}, intrahash = {edea76d3f7894cbf5315b6d52c3913a4}, issn = {12900729}, journal = {International Journal of Thermal Sciences}, keywords = {2009-apr-read-list bidisperse natural-convection numerical porous}, month = {March}, posted-at = {2009-04-11 15:30:21}, priority = {2}, timestamp = {2009-06-28T16:19:20.000+0200}, title = {Free convection in a square cavity filled with a bidisperse porous medium}, url = {http://dx.doi.org/10.1016/j.ijthermalsci.2009.02.016}, year = 2009 }