Heat transfer analysis and magnetohydrodynamic flow of a non-newtonian fluid through a porous medium with slip at the wall

Journal of Porous Media

Volumn 12, Issue 3, 2009, Pages 277-287

  Khan, Masood ^a   Rahman, S ^a   Hayat, Tasawar ^a  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT EXCHANGERS; HEAT TRANSFER; HYDRODYNAMICS; MAGNETOHYDRODYNAMICS; POROUS MATERIALS; THERMOANALYSIS; WALL FLOW;

CRITICAL ASSESSMENTS; DARCY'S LAWS; FLOW-MODELING; HEAT-TRANSFER ANALYSIS; MAGNETO-HYDRODYNAMIC FLOWS; NON-NEWTONIAN FLUIDS; POROUS MEDIUMS; SECOND-GRADE FLUIDS; SEMI INFINITES;

FLUID DYNAMICS;

EID: 59849099070     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/JPorMedia.v12.i3.70     Document Type: Article

References (29)

1. Cortell, R., Flow and Heat Transfer of an Electrically Conducting Fluid of Second Grade over a Stretching Sheet Subject to Suction and to a Transverse Magnetic Field, Int. J. Heat Mass Transfer, vol. 49, pp. 1851-1856, 2006.
2. Dunn, J. E., and Fosdick, R. L., Thermodynamics, Stability and Boundedness of Fluids of Complexity 2 and Fluids of Second Grade, Arch. Rat. Mech. Anal., vol. 3, pp. 191-252, 1974.
3. Dunn, J. E., and Rajagopal, K. R., Fluids of Differential Type: Critical Review and Thermodynamic Analysis, Int. J. Eng. Sci., vol. 33, pp. 689-729, 1995.
4. Fetecau, C., and Fetecau, C., Starting Solutions for Some Unsteady Unidirectional Flows of a Second Grade Fluid, Int. J. Eng. Sci., vol. 43, pp. 781-789, 2005a.
5. Fetecau, C., and Fetecau, C., Unsteady Flows of Oldroyd-B Fluids in a Channel of Rectangular Cross Section, Int. J. Non-Linear Mech., vol. 40, pp. 1214-1219, 2005b.
6. Fosdick, R. L., and Rajagopal, K. R., Anomalous Features in the Model of Second Order Fluids, Arch. Rat. Mech. Anal., vol. 70, pp. 145-152, 1979.
7. Hayat, T., Abbas, Q., Asghar, S., Siddiqui, A. M., Farid, T., and Murtza, G., Flow of an Elastico-Viscous Fluid Past an Infinite Wall with Time-Dependent Suction, Acta Meck, vol. 153, pp. 133-145, 2002.
8. Hayat, T., Khan, M., and Ayub, M., Exact Solutions of Flow Problems of an Oldroyd-B Fluid, Appl. Math. Comput., vol. 151, pp. 105-109, 2004.
9. Hayat, T., Khan, M., Ayub, M., and Siddiqui, A. M., The Unsteady Couette Flow of a Second Grade Fluid in a Layer of Porous Medium, Arch. Mech., vol. 57, pp. 405-416, 2005.
10. Hayat, T., Abbas, Z., and Asghar, S., On Heat Transfer Analysis for an Oscillatory Flow of a Second Grade Fluid through a Porous Medium, J. Porous Media, vol. 10, pp. 601-612, 2007.
11. Jordan, P. M., and Puri, P., Stokes' First Problem for a Rivlin-Ericksen Fluid of a Second Grade Fluid in a Porous Medium, Int. J. Non-Linear Mech., vol. 38, pp. 1019-1025, 2003.
12. Kelley, R. E., The Flow of a Viscous Fluid Past a Wall of Infinite Extent with Time-Dependent Suction, Q. J. Mech. Appl. Math., vol. 18, pp. 287-298, 1964.
13. Khaled, A. R. A., and Vafai, K., The Effect of Slip Condition on Stokes and Couette Flows Due to an Oscillating Wall: Exact Solutions, Int. J. Non-Linear Mech., vol. 39, pp. 795-804, 2004.
14. Khan, M., Maqbool, K., and Hayat, T, Influence of Hall Current on the Flows of a Generalized Oldroyd-B Fluid in a Porous Space, Acta Mech., vol. 184, pp. 1-13, 2006.
15. Lighthill, M. J., The Response of Laminar Skin Friction and Hear Transfer to Fluctuations in the Stream Velocity, Proc. R. Soc. London, Ser. A, vol. 224, pp. 1-33, 1954.
16. Liu, I. C., Flow and Heat Transfer of an Electrically Conducting Fluid of Second Grade in a Porous Medium over a Stretching Sheet Subject to a Transverse Magnetic Field, Int. J. Non-Linear Mech., vol. 40, pp. 465-174, 2005.
17. Massoudi, M., and Phuoc, T. X., The Effect of Slip Boundary Condition on the Flow of Granular Materials: A Continuum Approach, Int. J. Non-Linear Mech., vol. 35, pp. 745-761, 2000.
18. Messiha, S. A. S., Laminar Boundary Layers in Oscillatory Flow along an Infinite Flat Plate with Variable Suction, Proc. Cambridge Philos. Soc., vol. 62, pp. 329-337, 1966.
19. Migler, K. B., Hervert, H., and Leger, L., Slip Transition of a Polymer Melt under Shear Stress, Phys. Rev. Lett., vol. 70, pp. 287-290, 1993.
20. Navier, M., Memoire sur less lois du movement des fluids, Mem. L'Inst. France, vol. 6, pp. 389-440, 1823.
21. Rajagopal, K. R., A Note on the Unsteady Unidirectional Flows of a Non-Newtonian Fluid, Int. J. Non-Linear Mech., vol. 17, pp. 369-373, 1982.
22. Rao, I. J., and Rajagopal, K. R., The Effect of the Slip Condition on the Flow of Fluids in a Channel, Acta Mech., vol. 135, pp. 113-126, 1999.
23. Rivlin, R. S., and Ericksen, J. L., Stress Deformation Relations for Isotropic Materials, J. Rat. Mech. Anal., vol. 4, pp. 323-425, 1955.
24. Soltani, E, and Yilmazer, U., Slip Velocity and Slip Layer Thickness in Flow of Concentrated Suspensions, J. Appl. Polym. Sci., vol. 70, pp. 512-522, 1998.
25. Soundalgekar, V M., and Puri, P., On Fluid Fluctuating Flow of an Elastico-Viscous Fluid Past an Infinite Plate with Variable Suction, J. Fluid Mech., vol. 35, pp. 561-573, 1969.
26. Stuart, J. T, A solution of the Navier-Stokes and Energy Equations Illustrating the Response of Skin Friction and Temperature of an Infinite Plate Thermometer Fluctuations in the Stream Velocity, Proc. R. Soc. London, Ser. A, vol. 231, pp. 116-131, 1955.
27. Tan, W. C., and Masuoka, T., Stokes' First Problem for a Second Grade Fluid in a Porous Half Space with Heated Boundary, Int. J. Non-Linear Mech., vol. 40, pp. 515-522, 2005a.
28. Tan, W. C., and Masuoka, T., Stokes' First Problem for an Oldroyd-B Fluid in a Porous Half Space, Phys. Fluids, vol. 17, 023101, 2005b.
29. Vinogradov, G. V., and Ivanova, L. I., Wall Slippage and Elastic Turbulence of Polymers in the Rubbery State, Rheol. Acta, vol. 7, pp. 243-354, 1968.