Slip effects on MHD mixed convection stagnation point flow of a micropolar fluid towards a shrinking vertical sheet

Computers and Mathematics with Applications

Volumn 63, Issue 1, 2012, Pages 255-267

  Das, K ^a  

^a KALYANI GOVERNMENT ENGINEERING COLLEGE   (India)

Author keywords

Boundary layer; Micropolar fluid; Similarity transformations; Slip flow; Stagnation flow

Indexed keywords

FLOW AND HEAT TRANSFER; GOVERNING PARAMETERS; MATHEMATICA; MICROPOLAR FLUIDS; OPPOSING FLOW; PARTIAL SLIP; PHYSICAL ASPECTS; SELF-SIMILAR; SHRINKING SHEET; SIMILARITY TRANSFORMATION; SLIP EFFECTS; SLIP FLOW; STAGNATION FLOW; STAGNATION-POINT FLOW; TRANSVERSE MAGNETIC FIELD;

BOUNDARY LAYERS; FLUIDS; MAGNETIC FIELDS; ORDINARY DIFFERENTIAL EQUATIONS; SHRINKAGE;

MAGNETOHYDRODYNAMICS;

EID: 83655192132     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.11.018     Document Type: Article

References (41)

1. K. Hiemenz Die grenzschicht an einem in dem gleichformingen flussigkeitsstrom eingetauchten gerade kreiszylinder Dinglers Polytech. J. 326 1911 321 340
2. F. Homann Der einfluss grosser zahigkeit bei der stromung um den zylinder und um die kugel ZAMM Z. Angew. Math. Mech. 16 1936 153 164
3. C.Y. Wang Impinging stagnation flows Phys. Fluids 30 1987 915 917
4. P.D. Ariel Hiemenz flow in hydromagnetics Acta Mech. 103 1994 31 43
5. T.R. Mahapatra, and A.S. Gupta Magnetohydrodynamic stagnation point flow towards a stretching sheet Acta Mech. 152 2001 191 196 (Pubitemid 34043754)
6. J. Zhu, L.C. Zheng, and X.X. Zhang Analytical solution to stagnation point flow and heat transfer over a stretching sheet based on homotopy analysis Appl. Math. Mech. (English Ed.) 30 2009 463 474
7. C.Y. Wang Stagnation flow towards a shrinking sheet Int. J. Nonlinear Mech. 43 2008 377 382
8. T. Fan, H. Xu, and I. Pop Unsteady stagnation flow and heat transfer towards a shrinking sheet Int. Commun. Heat Mass Transfer 37 2010 1440 1446
9. A.C. Eringen Theory of micropolar fluids J. Math. Mech. 16 1966 1 18
10. A.C. Eringen Theory of thermomicropolar fluids J. Math. Anal. Appl. 138 1972 480 496
11. T. Ariman, M.A. Turk, and N.D. Sylvester Microcontinuum fluid mechanics -a review Internat. J. Engrg. Sci. 11 1973 905 930
12. T. Ariman, M.A. Turk, and N.D. Sylvester Appls of micro fluid mechs-a review Internat. J. Engrg. Sci. 12 1974 9273 9293
13. G. Qukaszewicz Micropolar Fluids: Theory and Application 1999 Birkhuser Basel
14. G.S. Guram, and C. Smith Stagnation flows of micropolar fluids with strong and weak interactions Comput. Math. Appl. 6 1980 213 233 (Pubitemid 11425950)
15. A. Raptis Flow of a micropolar fluid past a continuously moving plate by the presence of radiation Int. J. Heat Mass Transfer 41 1998 2865 2866 (Pubitemid 28393248)
16. H.A.M. El-Arabawy Effect of suction/injection on the flow of a micropolar fluid past a continuously moving plate in the presence of radiation Int. J. Heat Mass Transfer 46 2003 1471 1477 (Pubitemid 36209859)
17. N.A. Kelson, and A. Desseaux Effect of surface conditions on flow of a micropolar fluid driven by a porous stretching sheet Internat. J. Engrg. Sci. 39 2001 1881 1897 (Pubitemid 32691061)
18. N.A. Kelson, and T.W. Farrell Micropolar flow over a porous stretching sheet with strong suction or injection Int. Commun. Heat Mass Transfer 28 2001 479 488 (Pubitemid 32624049)
19. R. Bhargava, L. Kumar, and H.S. Takhar Finite element solution of mixed convection micropolar flow driven by a porous stretching sheet Internat. J. Engrg. Sci. 41 2003 2161 2178
20. E.M. Abo-Eldahab, and M.A.E.I. Aziz Flow and heat transfer in a micropolar fluid past a stretching surface embedded in a non-Darcian porous medium with uniform free stream Appl. Math. Comput. 162 2005 881 899
21. S.N. Odda, and A.M. Farhan Chebyshev finite difference method for the effects of variable viscosity and variable thermal conductivity on heat transfer to a micropolar fluid from a nonisothermal stretching sheet with suction and blowing Chaos Solitons Fractals 30 2006 851 858
22. R. Bhargava, S. Sharma, H.S. Takhar, O.A. Bég, and P. Bhargava Numerical solutions for micropolar transport phenomena over a nonlinear stretching sheet Nonlinear Anal. Model. Control 12 2007 45 63
23. N.T. Eldabe, and M.E.M. Ouaf Chebyshev finite difference method for heat and mass transfer in a hydromagnetic flow of a micropolar fluid past a stretching surface with Ohmic heating and viscous dissipation Appl. Math. Comput. 177 2006 561 571 (Pubitemid 43884838)
24. Y.Y. Lok, I. Pop, and A.J. Chamkha Nonorthogonal stagnation point flow of a micropolar fluid Internat. J. Engrg. Sci. 45 2007 173 184 (Pubitemid 46437250)
25. A. Ishak, R. Nazar, and I. Pop Magnetohydrodynamic (MHD) flow of a micropolar fluid towards a stagnation point on a vertical surface Comput. Math. Appl. 56 2008 3188 3194
26. A. Ishak, K. Jafar, R. Nazar, and I. Pop MHD stagnation point flow towards a stretching sheet Physica A 388 2009 3377 3383
27. A. Ishak, Y.Y. Lok, and I. Pop Stagnation point flow over a shrinking sheet in a micropolar fluid Chem. Eng. Commun. 197 2010 1417 1427
28. M. Ashraf, and M.M. Ashraf MHD stagnation point flow of a micropolar fluid towards a heated surface Appl. Math. Mech. (English Ed.) 32 2011 45 54
29. G.S. Beavers, and D.D. Joseph Boundary condition at a naturally permeable wall J. Fluid Mech. 30 1967 197 207
30. H.I. Andersson Slip flow past a stretching surface Acta Mech. 158 2002 121 125 (Pubitemid 35297922)
31. T. Fang, and C.F. Lee A moving-wall boundary layer flow of a slightly rarefied gas free stream over a moving flat plate Appl. Math. Lett. 18 2005 487 495 (Pubitemid 40338070)
32. T. Fang, and C.F. Lee Exact solutions of incompressible Couette flow with porous walls for slightly rarefied gases Heat Mass Transfer 42 2006 255 262 (Pubitemid 41690371)
33. T. Fang, J. Zhang, and S. Yao Slip MHD viscous flow over a stretching sheet-an exact solution Commun. Nonlinear Sci. Numer. Simul. 14 2009 3731 3737
34. C.Y. Wang Stagnation slip flow and heat transfer on a moving plate Chem. Eng. Sci. 61 2006 7668 7672 (Pubitemid 44648038)
35. C.Y. Wang Stagnation flow on a cylinder with partial slip-an exact solution of the NavierStokes equations IMA J. Appl. Math. 72 2007 271 277
36. C.Y. Wang Analysis of viscous flow due to a stretching sheet with surface slip and suction Nonlinear Anal. RWA 10 2009 375 380
37. T. Fang, S. Yao, J. Zhang, and A. Aziz Viscous flow over a shrinking sheet with a second order slip flow model Commun. Nonlinear Sci. Numer. Simul. 15 2010 1831 1842
38. A. Aziz Hydrodynamic and thermal slip flow boundary layers over a flat plate with constant heat flux boundary condition Commun. Nonlinear Sci. Numer. Simul. 15 2010 573 580
39. S.K. Jena, and M.N. Mathur Similarity solution for laminar free convection flow of thermo-micropolar fluid past a non-isothermal vertical flat plate Internat. J. Engrg. Sci. 19 1981 1431 1439 (Pubitemid 12501494)
40. G. Ahmadi Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate Int. J. Eng. Sci. 14 1976 639 646
41. J. Peddison, and R.P. McNitt Boundary layer theory for micropolar fluid Rec. Adv. Enqnq Sei. 5 1970 405 426