caa a22 4500 463163354 CHVBK 20180406164754.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s11242-006-0012-1 doi (NATIONALLICENCE)springer-10.1007/s11242-006-0012-1 Effect of the Source Term on Steady Free Convection Boundary Layer Flows over an Vertical Plate in a Porous Medium. Part I [Elektronische Daten] [E. Magyari, I. Pop, A. Postelnicu] The Darcy free convection boundary layer flow over a vertical flat plate is considered in the presence of volumetric heat generation/absorption. In the present first part of the paper it is assumed that the heat generation/absorption takes place in a self-consistent way, the source term q ′′′≡ S of the energy equation being an analytical function of the local temperature difference T−T ∞. In a forthcoming second part, the case of the externally controlled source terms S=S(x,y ) will be considered. It is shown that due to the presence of S, the physical equivalence of the up- and downflows gets in general broken, in the sense that the free convection flow over the upward projecting hot plate ("upflow”) and over its downward projecting cold counterpart ("downflow”) in general become physically distinct. The consequences of this circumstance are examined for different forms of S. Several analytical solutions are given. Some of them describe algebraically decaying boundary layers which can also be recovered as limiting cases of exponentially decayingones. This asymptotic phenomenon is discussed in some detail. Springer, 2006 volumetric heat generation nationallicence parallel flows nationallicence exact solutions nationallicence algebraic decay nationallicence exponential decay nationallicence Similar flows nationallicence Porous media nationallicence Magyari E. Institute of Building Technology, Swiss Federal Institute of Technology (ETH Zürich), CH-8093, Zürich, Switzerland aut Pop I. Faculty of Mathematics, University of Cluj, R-3400, CP 253, Cluj, Romania aut Postelnicu A. Department of Thermal Engineering and Fluid Mechanics, Transilvania University, 500036, Brasov, Romania aut Transport in Porous Media Kluwer Academic Publishers 67/1(2007-03-01), 49-67 0169-3913 67:1<49 2007 67 11242 https://doi.org/10.1007/s11242-006-0012-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-0012-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Magyari E. Institute of Building Technology, Swiss Federal Institute of Technology (ETH Zürich), CH-8093, Zürich, Switzerland aut NATIONALLICENCE 700 1- Pop I. Faculty of Mathematics, University of Cluj, R-3400, CP 253, Cluj, Romania aut NATIONALLICENCE 700 1- Postelnicu A. Department of Thermal Engineering and Fluid Mechanics, Transilvania University, 500036, Brasov, Romania aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 67/1(2007-03-01), 49-67 0169-3913 67:1<49 2007 67 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463163354 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer