Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 57, Issue 5, 2006, Pages 777-792

  Liao, Shijun ^a   Magyari, Eugen ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b ETH ZURICH   (Switzerland)

Author keywords

Algebraic decay; Boundary layers; Homotopy analysis; Porous media; Similarity

Indexed keywords

EID: 33747865377     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-006-0061-x     Document Type: Article

References (9)

1. P. Cheng and W. J. Minkowycz, Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophys. Res. 82 (1977), 2040-2044.
2. D. B. Ingham and S. N. Brown, Flow past a suddenly heated vertical plate in a porous medium, Proc. Roy. Soc. London A. 403 (1986), 51-80.
3. I. Pop and D. B. Ingham, Convective Heat transfer, Mathematical and Computational Modelling of Viscous Fluids and Porous Media, Pergamon, London, 2001.
4. W. H. H. Banks, Similarity solutions of the boundary layer equations for a stretching wall, J. de Mécanique theorique et appliqué 2 (1983), 375-392.
5. S.-J. Liao and I. Pop, Explicit analytic solution for similar boundary layer equations, Int. J. Heat Mass Transfer 47 (2004), 75-85.
6. S.-J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman & Hall/ CRC Press, Boca Raton, 2003.
7. E. Magyari, I. Pop and B. Keller, New analytical solutions of a well known boundary value problem in fluid mechanics, Fluid Dyn. Res. 33 (2003), 313-317.
8. E. Magyari and D. A. S. Rees, Effect of viscous dissipation on the Darcy free convection boundary-layer flow over a vertical plate with exponential temperature distribution in a porous medium, Fluid Dyn. Res., in print.
9. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover Publ., Inc., New York, 1965.