Backward free convection boundary layers in porous media

Transport in Porous Media

Volumn 55, Issue 3, 2004, Pages 285-300

  Magyari, E ^a   Keller, B ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Algebraic decay; Backward boundary layer; Exact solutions; Free convection; Injection; Power law similarity; Suction; Vertical surface

Indexed keywords

BOUNDARY LAYERS; COOLING; HEATING; NATURAL CONVECTION; TEMPERATURE DISTRIBUTION;

FORWARD BOUNDARY LAYERS (FBL); LATERAL SUCTION;

POROUS MATERIALS;

BOUNDARY LAYER; CONVECTION; FLAT PLATE; FLOW MODELING; POROUS MEDIUM; SATURATED MEDIUM;

EID: 1542677637     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:TIPM.0000013329.30281.c2     Document Type: Article

References (14)

1. Abramowitz, M. and Stegun. I. A.: 1966, Handbook of Mathematical Functions, Dover, New York.
2. Banks, W. H. H.: 1983, Similarity solutions of the boundary layer equations for a stretching wall, J. Méc. Théor. Appl. 2, 375-392.
3. Brown, S. N. and Stewartson, K.: 1965, On similarity solutions of the boundary-layer equations with algebraic decay, J. Fluid Mech. 23, 673-687.
4. Goldstein, S.: 1965, On backward boundary layers and flow in converging passages, J. Fluid Mech. 21, 33-45.
5. Khan, M. A. and Stewartson, K.: 1984, On natural convection from a cooling vertical sheet, Q. J. Mech. Appl. Math. 37, 325-338.
6. Kuiken, H. K.: 1981a, On boundary layers in fluid mechanics that decay algebraically along stretches of wall that are not vanishingly small, IMA J. Appl. Math. 27, 387-405.
7. Kuiken, H. K.: 1981b, A backward free-convective boundary layer, Q. J. Mech. Appl. Math. 34, 397-413.
8. Kuiken, H. K.: 1983, A class of backward free-convective boundary layer similarity solutions, Int. J. Heat Mass Transfer 26, 655-661.
9. Magyari, E. and Keller, B.: 2000a, Exact analytic solutions for free convection boundary layers on a heated vertical plate with lateral mass flux embedded in a saturated porous medium, Heat Mass Transfer 36, 109-116.
10. Magyari, E. and Keller, B.: 2000b, Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls, Eur. J. Mech. B-Fluids 19, 109-122.
11. Magyari, E., Pop, I. and Keller, B.: 2003, New analytical solutions of a well-known boundary value problem in fluid mechanics, Fluid Dyn. Res. 33, 351-355.
12. Merkin, J. H.: 1978, On solutions of the boundary-layer equations with algebraic decay, J. Fluid Mech. 88, 309-321.
13. Nield, D. A. and Bejan, A.: 1999, Convection in Porous Media, 2nd edn., Springer-Verlag, New York.
14. Pop, I. and Ingham, D. B.: 2001, Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media, Pergamon, London.