caa a22 4500 463162838 CHVBK 20180406164752.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11242-006-9077-0 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9077-0 Steady mixed convection boundary layer flow over a vertical flat plate in a porous medium filled with water at 4°C: case of variable wall temperature [Elektronische Daten] [S. Ling, R. Nazar, I. Pop] The problem of steady mixed convection boundary layer flow over a vertical impermeable flat plate in a porous medium saturated with water at 4°C (maximum density) when the temperature of the plate varies as x m and the velocity outside boundary layer varies as x 2m , where x measures the distance from the leading edge of the plate and m is a constant is studied. Both cases of the assisting and the opposing flows are considered. The plate is aligned parallel to a free stream velocity U ∞ oriented in the upward or downward direction, while the ambient temperature is T ∞ =T m (temperature at maximum density). The mathematical models for this problem are formulated, analyzed and simplified, and further transformed into non-dimensional form using non-dimensional variables. Next, the system of governing partial differential equations is transformed into a system of ordinary differential equations using the similarity variables. The resulting system of ordinary differential equations is solved numerically using a finite-difference method known as the Keller-box scheme. Numerical results for the non-dimensional skin friction or shear stress, wall heat transfer, as well as the temperature profiles are obtained and discussed for different values of the mixed convection parameter λ and the power index m. All the numerical solutions are presented in the form of tables and figures. The results show that solutions are possible for large values of λ and m for the case of assisting flow. Dual solutions occurred for the case of opposing flow with limited admissible values of λ and m. In addition, separation of boundary layers occurred for opposing flow, and separation is delayed for the case of water at 4°C (maximum density) compared to water at normal temperature. Springer Science+Business Media, Inc., 2006 Maximum density nationallicence Dual solutions nationallicence Mixed convection nationallicence Boundary layer nationallicence Porous medium nationallicence Vertical plate nationallicence Variable wall temperature 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 Transport in Porous Media Kluwer Academic Publishers 69/3(2007-09-01), 359-372 0169-3913 69:3<359 2007 69 11242 https://doi.org/10.1007/s11242-006-9077-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9077-0 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 773 0- Transport in Porous Media Kluwer Academic Publishers 69/3(2007-09-01), 359-372 0169-3913 69:3<359 2007 69 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463162617 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer