Magyari, E.; Aly, Emad H. Exact analytical solution for a thermal boundary layer in a saturated porous medium. (English) Zbl 1154.76049 Appl. Math. Lett. 19, No. 12, 1351-1355 (2006). Summary: We consider the forced convection thermal boundary layer in a porous medium as an analytically tractable special case of a mixed convection problem. It is shown that some general features of the mixed convection solutions reported recently by other authors [B. Brighi and J.-D. Hoernel, Appl. Math. Lett. 19, No. 1, 69-74 (2006; Zbl 1125.34005); M. Guedda, Appl. Math. Lett. 19, No. 1, 63–68 (2006; Zbl 1125.34006)] can already be recovered from this exactly solvable case. Cited in 1 Document MSC: 76R05 Forced convection 76S05 Flows in porous media; filtration; seepage 76M55 Dimensional analysis and similarity applied to problems in fluid mechanics 80A20 Heat and mass transfer, heat flow (MSC2010) Keywords:similarity; forced convection; unique solution; multiple solutions Citations:Zbl 1125.34005; Zbl 1125.34006 PDFBibTeX XMLCite \textit{E. Magyari} and \textit{E. H. Aly}, Appl. Math. Lett. 19, No. 12, 1351--1355 (2006; Zbl 1154.76049) Full Text: DOI References: [1] Cheng, P., Combined free and forced convection flow about inclined surfaces in porous media, Int. J. Heat Mass Transfer, 20, 807-814 (1977) · Zbl 0387.76076 [2] Merkin, J. H., Mixed convection boundary layer flow on a vertical surface in a saturated porous medium, J. Engrg. Math., 14, 301-313 (1980) · Zbl 0433.76078 [3] Merkin, J. H., On dual solutions occurring in mixed convection in a porous medium, J. Engrg. Math., 20, 171-179 (1985) · Zbl 0597.76081 [4] Hussaini, M. Y.; Lakin, W. D., Existence and nonuniqueness of similarity solutions of a boundary-layer problem, Quart. J. Mech. Appl. Math., 39, 15-24 (1986) · Zbl 0577.76039 [5] Hussaini, M. Y.; Lakin, W. D.; Nachman, A., On similarity solutions of a boundary layer problem with an upstream moving wall, SIAM J. Appl. Math., 47, 699-709 (1987) · Zbl 0634.76034 [6] Aly, E. H.; Elliott, L.; Ingham, D. B., Mixed convection boundary-layer flow over a vertical surface embedded in a porous medium, Euro. J. Mech.-Fluids, 22, 529-543 (2003) · Zbl 1033.76055 [7] Nazar, R.; Amin, N.; Pop, I., Unsteady mixed convection boundary layer flow near the stagnation point on a vertical surface in a porous medium, Int. J. Heat Mass Transfer, 47, 2681-2688 (2004) · Zbl 1079.76637 [8] B. Brighi, J.-D. Hoernel, On the concave and convex solutions of mixed convection boundary layer approximation in a porous medium, Appl. Math. Lett. (published online, 2005); B. Brighi, J.-D. Hoernel, On the concave and convex solutions of mixed convection boundary layer approximation in a porous medium, Appl. Math. Lett. (published online, 2005) · Zbl 1125.34005 [9] M. Guedda, Multiple solutions of mixed convection boundary-layer approximations in a porous medium, Appl. Math. Lett. (published online, 2005); M. Guedda, Multiple solutions of mixed convection boundary-layer approximations in a porous medium, Appl. Math. Lett. (published online, 2005) · Zbl 1125.34006 [10] Abramowitz, M.; Stegun, I. A., Handbook of Mathematical Functions (1972), Dover: Dover New York · Zbl 0515.33001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.