Hydromagnetic flow and heat transfer over a bidirectional stretching surface in a porous medium

Thermal Science

Volumn 15, Issue SUPPL.2, 2011, Pages 205-220

  Ahmad, Iftikhar ^a   Ahmed, Manzoor ^a   Abbas, Zaheer ^b   Sajid, Muhammad ^c  

^a UNIVERSITY OF AZAD JAMMU AND KASHMIR   (Pakistan)

^b Department of Mathematics   (Pakistan)

^c PAKISTAN INSTITUTE OF NUCLEAR SCIENCE AND TECHNOLOGY   (Pakistan)

Author keywords

Homotopy analysis method; Internal heat generation; Magnetohydrodinamics flow; Porous medium; Variable surface temperature; Viscous fluid

Indexed keywords

ATMOSPHERIC TEMPERATURE; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; HEAT FLUX; HEAT TRANSFER; MAGNETOHYDRODYNAMICS; SURFACE PROPERTIES; VISCOSITY; VISCOUS FLOW;

ANALYSIS METHOD; BOUNDARY LAYER THICKNESS; FLOW AND HEAT TRANSFER; HOMOTOPY ANALYSE METHOD; HOMOTOPY ANALYSIS; INTERNAL HEAT GENERATION; MAGNETOHYDRODINAMIC FLOW; POROUS MEDIUM; VARIABLE SURFACE TEMPERATURES; VISCOUS FLUIDS;

POROUS MATERIALS;

EID: 84869833015     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI100926006A     Document Type: Article

References (28)

1. Sakiadis, B. C., Boundary Layer behavior on Continuous Solid Surface, I. Boundary Layer Equation for Two-Dimensional and Axisymmetric Flow, AIChE J., 7 (1961), 1, pp. 26-28
2. Sakiadis, B. C., Boundary Layer behavior on Continuous Solid Surface, II. Boundary Layer Equations on Continuous Solid Surface, AIChE J., 7 (1961), 2, pp. 221-225
3. McCormack, P. D., Crane, L., Physical Fluid Dynamics, Academic Press, New York, USA, 1973
4. Gupta, P. S., Gupta, A. S., Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing, Can. J. Chem. Eng., 55 (1977), 6, pp. 744-756
5. Cortell, R., Similarity Solutions for Flow and Heat Transfer in a Viscoelastic Fluid over a Stretching Sheet, Int. J. Non-Linear Mech., 29 (1994), 2, pp. 155-161
6. Vleggaar, J., Laminar Boundary Layer behaviour on Continuous Accelerating Surface, Chem. Eng. Sci., 32 (1977), 12, pp. 1517-1525
7. Dutta, B. K., Roy, P., Gupta. A. S., Temperature Field in a Flow over a Stretching Sheet with Uniform Heat Flux, Int. Commun. Heat Mass Transfer, 12 (1985), 1, pp.89-94
8. Magyari, E., Keller, B., Exact Solutions for Self-Similar Boundary-Layer Flows Induced by Permeable Stretching Walls, Eur. J. Mech.B-Fluids, 19 (2000), 1, pp. 109-122
9. Crane, L., Flow Past a Stretching Plate, Z. Angew Math. Phys., 4 (1970), 21, pp. 645-647
10. Banks, W. H. H., Similarity Solutions of the Boundary Layer Equations for a Stretching Wall, J. Mech Theor. Appl., 2 (1983), 3, pp. 375-392
11. Ali, M. E., Heat Transfer Characteristics of a Continuous Stretching Surface, Heat and Mass Transfer, 29 (1994), 4, pp. 227-234
12. Hayat, T., Sajid, M., Analytic Solution for Axisymmetric Flow and Heat Transfer of a Second Grade Fluid Past a Stretching Sheet, Int. J. Heat Mass Transfer, 50 (2007), 1-2, pp. 75-84
13. Kumar, H., Radiation Heat Transfer with Hydromagnetic Flow and Viscous Dissipation over a Stetching Surface in the Presence of Variable Heat Flux, Thermal Science, 13 (2009), 2, pp. 163-169
14. Wang, C. Y., The Three Dimensional Flow Due to Stretching Surface, Phys. Fluids, 27 (1984), pp. 1915-1917
15. Laha, M. K., Gupta, P. S., Gupta, A. S., Heat Transfer Characteristics of the Flow of an Incompressible Viscous Fluid over a Stretching Sheet, Heat and Mas Transfer, 24 (1998), 3, pp. 151-153
16. Ariel, P. D., Generalized Three Dimensional Flow Due to Stretching Surface, Z. Angew. Math. Mech, 83 (2003), 12, pp. 844-852
17. Liu, I.-C., Andersson, H. I., Heat Transfer over a Bidirectional Stretching Sheet with Variable Thermal Conditions, Int. J. Heat Mass Transfer, 51 (2008), 15-16, pp. 4018-4024
18. Abdullah, I. A., Analytic Solution of Heat and Mass Transfer over a Permeable Stretching Plate Affected by Chemical Reaction, Internal Heating, Dufour-Soret Effect and Hall Effect, Thermal Science, 13 (2009), 2, pp. 183-197
19. Liao, S. J., Beyond Perturbation: Introduction to Homotopy Analysis Method, Chapman & Hall, Boca Raton, Fla., USA, 2003
20. Liao, S. J., On the Homotopy Analysis Method for Nonlinear Problems, Appl. Math. Comput., 147 (2004), 2, pp. 499-513
21. Sajid, M., Hayat, T., Asghar, S., On the Analytic Solution of the Steady Flow of a Fourth Grade Fluid, Phys. Lett. A, 355 (2008), 1, pp. 18-24
22. Abbas, Z., Sajid, M., Hayat, T., MHD Boundary Layer Flow of an Upper-Convected Maxwell Fluid in a Channel, Theor. Comput. Fluid. Dyn., 20 (2006), 4, pp. 229-238
23. Liao, S. J., A Uniformly Valid Analytic Solution of 2-D Viscous Flow Past a Semi-Infinite Flat Plate, J. Fluid Mech., 385 (1999), 1, pp. 101-128
24. Liao, S. J., Campo, A., Analytic Solutions of the Temperature Distribution in Blasius Viscous Flow Problems, J. Fluid Mech., 453 (2002), pp. 411-425
25. Cheng, J., Liao, S. J., Pop, I., Analytic Series Solution for Unsteady Mixed Convection Boundary Layer Flow Near the Stagnation Point on a Vertical Surface in a Porous Medium, Transport in Porous Media, 61 (2005), 3, pp. 365-379
26. Yang, C., Liao, S. J., On the Explicit Purely Analytic Solution of Von Karman Swirling Viscous Flow, Comm. Non-linear Sci. Numer. Simm., 11 (2006), 1, pp. 83-93
27. Abbasbandy, S., Homotopy Analysis Method for Heat Radiation Equations, Int. Comm. Heat and Mass Transfer, 34 (2007), 3, pp. 380-387
28. Hayat, T., Sajid, M., Ayub, M., A Note on Series Solution for Generalized Couette Flow, Comm. Non-linear Sci. Numer. Simm., 12 (2007), 8, pp. 1481-1487