MHD boundary-layer flow of a micropolar fluid past a wedge with constant wall heat flux

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 1, 2009, Pages 109-118

  Ishak, Anuar ^a   Nazar, Roslinda ^a   Pop, Ioan ^b  

^a UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

^b BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Boundary layer; Falkner Skan equation; MHD; Micropolar fluids; Wedge

Indexed keywords

BOUNDARY LAYER FLOW; FINITE DIFFERENCE METHOD; HEAT FLUX; HEAT TRANSFER; LAMINAR BOUNDARY LAYER; NEWTONIAN LIQUIDS; ORDINARY DIFFERENTIAL EQUATIONS;

BOUNDARY-LAYER FLOWS; CONSTANT SURFACE HEAT FLUXES; CONSTANT WALL HEAT FLUX; FALKNER-SKAN EQUATIONS; IMPLICIT FINITE-DIFFERENCE SCHEMES; KELLER-BOX METHOD; MAGNETIC-FIELD; MICRO-POLAR FLUIDS; SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS; WEDGE;

MAGNETOHYDRODYNAMICS;

EID: 46149113278     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.07.011     Document Type: Article

References (37)

1. Eringen A.C. Theory of micropolar fluids. J Math Mech 16 (1966) 1-18
2. Eringen A.C. Theory of thermomicropolar fluids. J Math Anal Appl 38 (1972) 480-496
3. Ariman T., Turk M.A., and Sylvester N.D. Microcontinuum fluids mechanics - a review. Int J Engng Sci 11 (1973) 905-930
4. Ariman T., Turk M.A., and Sylvester N.D. Applications of microcontinuum fluids mechanics. Int J Engng Sci 12 (1974) 273-293
5. Lukaszewicz G. Micropolar fluids: theory and application (1999), Birkhäuser, Basel
6. Eringen A.C. Microcontinuum field theories. II: fluent media (2001), Springer, New York
7. Kim Y.J. Thermal boundary layer flow of a micropolar fluid past a wedge with constant wall temperature. Acta Mech 138 (1999) 113-121
8. Kim Y.J., and Kim T.A. Convective micropolar boundary layer flows over a wedge with constant surface heat flux. Int J Appl Mech Engng 8 (2003) 147-153 [Special issue: ICER 2003]
9. Falkner V.M., and Skan S.W. Some approximate solutions of the boundary layer equation. Philos Mag 12 (1931) 865-896
10. Hady F.M., and Hassanien I.A. Effect of transverse magnetic field and porosity on the Falkner-Skan flows of a non-Newtonian fluid. Astrophys Space Sci 112 (1985) 381-390
11. Watanabe T., and Pop I. Magnetohydrodynamic free convection flow over a wedge in the presence of a transverse magnetic field. Int Commun Heat Mass Transfer 20 (1993) 871-881
12. Kafoussias N.G., and Nanousis N.D. Magnetohydrodynamic laminar boundary-layer flow over a wedge with suction or injection. Can J Phys 75 (1997) 733-745
13. Yih K.A. MHD forced convection flow adjacent to a non-isothermal wedge. Int Commun Heat Mass Transfer 26 (1999) 819-827
14. Watanabe T., and Pop I. Thermal boundary layers in magnetohydrodynamic flow over a flat plate in the presence of a transverse magnetic field. Acta Mech 105 (1994) 233-239
15. Cobble M.H. Magnetofluid dynamic flow with a pressure gradient and fluid injection. J Engng Math 11 (1977) 249-256
16. Cobble M.H. Magnetohydrodynamic flow for a non-Newtonian power-law fluid having a pressure gradient and fluid injection. J Engng Math 14 (1980) 47-55
17. Helmy K.A. Solution of the boundary layer equation for a power law fluid in magneto-hydrodynamics. Acta Mech 102 (1994) 25-37
18. Helmy K.A. MHD boundary layer equations for a power-law fluid with variable electric conductivity. Meccanica 30 (1995) 187-200
19. Chiam T.C. Hydromagnetic flow over a surface stretching with a power-law velocity. Int J Engng Sci 33 (1995) 429-435
20. Anjali Devi S.P., and Thiyagarajan M. Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature. Heat Mass Transfer 42 (2006) 671-677
21. Zhang Z., and Wang J. Self-similar solutions of the magnetohydrodynamic boundary layer system for a dilatable fluid. Acta Mech 188 (2007) 103-119
22. Zhang Z., and Wang J. Exact self-similar solutions of the magnetohydrodynamic boundary layer system for power-law fluids. Z Angew Math Phys 58 (2007) 805-817
23. Amkadni M, Azzouzi A, Hammouch Z. On the exact solutions of laminar MHD flow over a stretching flat plate. Commun Nonlinear Sci Numer Simulat, in press.
24. Hoernel JD. On the similarity solutions for a steady MHD equation. Commun Nonlinear Sci Numer Simulat, in press.
25. Papailiou D.D., and Lykoudis P.S. Magneto-fluid-mechanic laminar natural convection - an experiment. Int J Heat Mass Transfer 11 (1968) 1385-1391
26. Lykoudis P.S. Natural convection of an electrically conducting fluid in the presence of a magnetic field. Int J Heat Mass Transfer 5 (1962) 23-34
27. Ahmadi G. Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate. Int J Engng Sci 14 (1976) 639-646
28. Kline K.A. A spin-vorticity relation for unidirectional plane flows of micropolar fluids. Int J Engng Sci 15 (1977) 131-134
29. Yücel A. Mixed convection in micropolar fluid flow over a horizontal plate with surface mass transfer. Int J Engng Sci 27 (1989) 1593-1602
30. Gorla R.S.R. Combined forced and free convection in micropolar boundary layer flow on a vertical flat plate. Int J Engng Sci 26 (1988) 385-391
31. Ishak A., Nazar R., and Pop I. The Schneider problem for a micropolar fluid. Fluid Dyn Res 38 (2006) 489-502
32. Rees D.A.S., and Bassom A.P. The Blasius boundary-layer flow of a micropolar fluid. Int J Engng Sci 34 (1996) 113-124
33. Rossow VJ. On flow of electrically conducting fluid over a flat plate in the presence of a magnetic field. NACA TR 1958;1358.
34. Soundalgekar V.M., Takhar H.S., and Singh M. Velocity and temperature field in MHD Falkner-Skan flow. J Phys Soc Jpn 50 (1981) 3139-3143
35. Cebeci T., and Bradshaw P. Physical and computational aspects of convective heat transfer (1988), Springer, New York
36. Lin H.T., and Lin L.K. Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number. Int J Heat Mass Transfer 30 (1987) 1111-1118
37. Chamkha A.J., Mujtaba M., Quadri A., and Issa C. Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of heat source or sink. Heat Mass Transfer 39 (2003) 305-312