caa a22 4500 463162617 CHVBK 20180406164752.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s11242-007-9101-z doi (NATIONALLICENCE)springer-10.1007/s11242-007-9101-z Steady mixed convection boundary-layer flow over a vertical flat surface in a porous medium filled with water at 4°C: variable surface heat flux [Elektronische Daten] [S. Ling, R. Nazar, I. Pop, J. Merkin] The steady mixed convection boundary-layer flow over a vertical impermeable surface in a porous medium saturated with water at 4°C (maximum density) when the surface heat flux varies as x m and the velocity outside the boundary layer varies as x (1+2m)/2, where x measures the distance from the leading edge, is discussed. Assisting and opposing flows are considered with numerical solutions of the governing equations being obtained for general values of the flow parameters. For opposing flows, there are dual solutions when the mixed convection parameter λ is greater than some critical value λ c (dependent on the power-law index m). For assisting flows, solutions are possible for all values of λ. A lower bound on m is found, m>−1 being required for solutions. The nature of the critical point λ c is considered as well as various limiting forms; the forced convection limit (λ=0), the free convection limit (λ → ∞) and the limits as m → ∞ and as m → −1. Springer Science+Business Media, Inc., 2007 Maximum Density nationallicence Mixed convection nationallicence Boundary Layer nationallicence Porous medium nationallicence Variable Heat flux nationallicence Ling S. School of Mathematical Sciences, National University of Malaysia, 43600, UKM Bangi, Selangor, Malaysia aut Nazar R. School of Mathematical Sciences, National University of Malaysia, 43600, UKM Bangi, Selangor, Malaysia aut Pop I. Faculty of Mathematics, University of Cluj, CP 253, 3400, Cluj, Romania aut Merkin J. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, UK aut Transport in Porous Media Springer Netherlands 70/3(2007-12-01), 307-321 0169-3913 70:3<307 2007 70 11242 https://doi.org/10.1007/s11242-007-9101-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-007-9101-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ling S. School of Mathematical Sciences, National University of Malaysia, 43600, UKM Bangi, Selangor, Malaysia aut NATIONALLICENCE 700 1- Nazar R. School of Mathematical Sciences, National University of Malaysia, 43600, UKM Bangi, Selangor, Malaysia aut NATIONALLICENCE 700 1- Pop I. Faculty of Mathematics, University of Cluj, CP 253, 3400, Cluj, Romania aut NATIONALLICENCE 700 1- Merkin J. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, UK aut NATIONALLICENCE 773 0- Transport in Porous Media Springer Netherlands 70/3(2007-12-01), 307-321 0169-3913 70:3<307 2007 70 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463162617 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer