Hall effects on hydromagnetic flow of an Oldroyd 6-constant fluid between concentric cylinders

Chaos, Solitons and Fractals

Volumn 39, Issue 1, 2009, Pages 204-213

  Rana, M A ^a   Siddiqui, A M ^b   Qamar, Rashid ^a  

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

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CYLINDERS (SHAPES); MAGNETOHYDRODYNAMICS; NON NEWTONIAN FLOW; PRESSURE GRADIENT; SHEAR THINNING;

CONCENTRIC CYLINDERS; CONSTANT PRESSURE GRADIENT; EFFECTS OF MATERIALS; GRAPHICAL REPRESENTATIONS; HALL PARAMETERS; HYDROMAGNETIC FLOWS; OLDROYD 6-CONSTANT FLUID; RHEOLOGICAL PROPERTY;

SHEAR FLOW;

EID: 60649120782     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.01.143     Document Type: Article

References (25)

1. Sutton G.W., and Sherman A. Engineering magnetohydrodynamics (1965), McGraw-Hill, New York
2. Tao I.N. Magnetohydrodynamic effects on the formation of Couette flow. J Aerospace Sci 27 (1960) 334
3. Chamkha A.J. Hydromagnetic two-phase flow in a channel. Int J Eng Sci 33 (1995) 437-446
4. Alpher R.A., and Heat transfer in magnetohydrodynamic flow between parallel p. Int J Heat Mass Transfer 3 (1961) 108
5. Nigam S.D., and Singh S.N. Heat transfer by laminar flow between parallel plates under the action of transverse magnetic field. Quart J Mech Appl Math 13 (1960) 85
6. Guillope C., and Saut J.C. Global existence and one-dimensional non-linear stability of shearing motions of viscoelastic fluids of Oldroyd type. RAIRO Model, Math Anal Numer 24 (1990) 369-401
7. Rajagopal K.R. On an exact solution for the flow of an Oldroyd-B fluid. Bull Tech Univ Istanbul 49 (1996) 617-623
8. Pontrelli G., and Bhatnagar K. Flow of a viscoelastic fluid between two rotating circular cylinders subject to suction or injection. Int J Numer Maths Fluids 24 (1997) 337-349
9. Pontrelli G. Longitudinal and torsional oscillations of a rod in an Oldroyd-B fluid with suction or injection. Acta Mech 123 (1997) 57-68
10. Oldroyd J.G. The motion of an elastico-viscous liquid contained between coaxial cylinders. Quart J Mech Appl Math 4 (1951) 271-282
11. Baris S. Flow of an Oldroyd 6-constant fluid between intersecting planes, one of which is moving. Acta Mech 147 (2001) 125-135
12. Rajagopal K.R., and Bhatnagar R.K. Exact solutions for some simple flows of an Oldroyd-B fluid. Acta Mech 113 (1995) 233-239
13. Rajagopal K.R. On the creeping flow of the second grade fluid. J Non-Newtonian Fluid Mech 15 (1984) 239-246
14. Erdogan M.E., and Erdem Imrak C. Effects of the side walls on the unsteady flow of a second-grade fluid in a duct of uniform cross-section. Int J Non-Linear Mech 39 (2004) 1379-1384
15. Siddiqui AM, Rana MA, Ahmed N. Magnetohydrodynamics flow of a Burgers' fluid in an orthogonal rheometer. Global J Math Sci, submitted for publication.
16. Ahmed N, Rana MA, Siddiqui AM. Flow of a Burgers' fluid and heat transfer due to eccentric rotations of a disk and a fluid at infinity. Phys Lett A, submitted for publication.
17. Cowling T.G. Magnetohydrodynamics (1957), Interscience, New York p. 101
18. Siddiqui MA., Rana MA, Ahmed N. Effects of Hall current and heat transfer on MHD flow of a Burgers' fluid due to a pull of eccentric rotating disks. Commun Nonlinear Sci Numer Simul, in press. doi:10.1016/j.cnsns.2006.10.005.
19. Siddiqui AM, Rana MA, Ahmed N. Hall effect on Hartmann flow and heat transfer of a Burgers' fluid. Appl Math Model, submitted for publication.
20. Rana MA, Ahmed N, Siddiqui AM. Hall effect on MHD Couette flow and transfer of a Burgers' fluid. Physica A, submitted for publication.
21. Attia H.A., and Sayed-Ahmed M.E. Hall effect on unsteady MHD Couette flow and heat transfer of a Bingham fluid with suction and injection. Appl Math Model 28 (2004) 1027-1045
22. Pop I. The effect of Hall currents on hydromagnetic flow near an accelerated plate. J Math Phys Sci 5 (1971) 375-385
23. Bird R.B.A.R., Armstrong R.C., and Hassager O. Dynamics of polymeric liquids. Fluid Mech I (1987) 354
24. Huilgol R.R. Continuum mechanics of viscoelastic liquids (1975), Wiley, New York p. 195
25. Hoffmann KA., Chiang S. Computational fluid dynamics for engineers, I, 1995, p. 92.