Micropolar fluid flow over a shrinking sheet

Meccanica

Volumn 47, Issue 2, 2012, Pages 293-299

  Yacob, Nor Azizah ^a   Ishak, Anuar ^b  

^a UNIVERSITI TEKNOLOGI MARA   (Malaysia)

^b UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

Author keywords

Boundary layer; Dual solutions; Fluid Mechanics; Micropolar fluid; Shrinking sheet

Indexed keywords

DUAL SOLUTIONS; FIXED POINTS; FLOW AND HEAT TRANSFER; MATERIAL PARAMETER; MICROPOLAR FLUIDS; NEWTONIAN FLUIDS; SHRINKING SHEET; TWO-DIMENSIONAL FLOW;

BOUNDARY LAYERS; FLUID MECHANICS; FLUIDS; SHRINKAGE;

FLOW OF FLUIDS;

EID: 84855652071     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-011-9439-8     Document Type: Article

References (45)

1. H Xu SJ Liao 2009 Laminar flow and heat transfer in the boundary-layer of non-Newtonian fluids over a stretching flat sheet Comput Math Appl 57 1425 1431 10.1016/j.camwa.2009.01.029 1186.76616 2509955
2. BC Sakiadis 1961 Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow AIChE J 7 26 28 10.1002/aic.690070108
3. FK Tsou EM Sparrow RJ Goldstein 1967 Flow and heat transfer in the boundary layer on a continuous moving surface Int J Heat Mass Transf 10 219 235 10.1016/0017-9310(67)90100-7
4. LJ Crane 1970 Flow past a stretching plate Z Angew Math Phys 21 645 647 10.1007/BF01587695
5. BK Dutta P Roy AS Gupta 1985 Temperature field in flow over a stretching sheet with uniform heat flux. Int Comm Heat Mass Transf 12 89 94 10.1016/0735-1933(85)90010-7 (Pubitemid 16456605)
6. LJ Grubka KM Bobba 1985 Heat transfer characteristics of a continuous stretching surface with variable temperature ASME J Heat Transf 107 248 250 10.1115/1.3247387 (Pubitemid 15475815)
7. CK Chen MI Char 1988 Heat transfer of a continuous stretching surface with suction and blowing J Math Anal Appl 135 568 580 10.1016/0022-247X(88) 90172-2 0652.76062 967227
8. Ali ME 1995 On thermal boundary layer on a power law stretched surface with suction or injection Int J Heat Fluid Flow 16 280 290 10.1016/0142-727X(95) 00001-7
9. EMA Elbashbeshy 1998 Heat transfer over a stretching surface with variable surface heat flux J Phys D, Appl Phys 31 1951 1954 10.1088/0022-3727/ 31/16/002 1998JPhD...31.1951E (Pubitemid 128576951)
10. T Fang 2003 Further study on a moving-wall boundary-layer problem with mass transfer Acta Mech 163 183 188 10.1007/s00707-002-0979-9 1064.76032
11. A Ishak R Nazar I Pop 2007 Boundary layer on a moving wall with suction and injection Chin Phys Lett 24 2274 2276 10.1088/0256-307X/24/8/033
12. AC Eringen 1966 Theory of micropolar fluids J Math Mech 16 1 18 204005
13. AC Eringen 1972 Theory of thermomicro fluids J Math Anal Appl 38 480 496 10.1016/0022-247X(72)90106-0 0241.76012
14. HS Takhar RS Agarwal R Bhargava S Jain 1998 Mixed convection flow of a micropolar fluid over a stretching sheet Heat Mass Transf 34 213 219 10.1007/s002310050252 1998HMT....34..213T (Pubitemid 128439478)
15. H Xu SJ Liao 2005 Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate J Non-Newton Fluid Mech 129 46 55 10.1016/j.jnnfm.2005.05.005 1195.76069 (Pubitemid 41386881)
16. MAA Mahmoud 2007 Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity Physica A 375 401 410 10.1016/j.physa.2006.09.010 2007PhyA..375..401M (Pubitemid 44894757)
17. A Ishak R Nazar I Pop 2008 Mixed convection stagnation point flow of a micropolar fluid towards a stretching sheet Meccanica 43 411 418 10.1007/s11012-007-9103-5 1163.76411
18. D Pal PS Hiremath 2010 Computational modeling of heat transfer over an unsteady stretching surface embedded in a porous medium Meccanica 45 415 424 10.1007/s11012-009-9254-7 2651501
19. A Ishak 2010 Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect Meccanica 45 367 373 10.1007/s11012-009- 9257-4
20. M Miklavčič CY Wang 2006 Viscous flow due to a shrinking sheet Q Appl Math 64 283 290 1169.76018 (Pubitemid 44295911)
21. T Hayat Z Abbas M Sajid 2007 On the analytic solution of magnetohydrodynamic flow of a second grade fluid over a shrinking sheet J Appl Mech Trans ASME 74 1165 1171 10.1115/1.2723820
22. M Sajid T Javed T Hayat 2008 MHD rotating flow of a viscous fluid over a shrinking surface Nonlinear Dyn 51 259 265 10.1007/s11071-007-9208-3 1170.76366 (Pubitemid 47632362)
23. T Fang W Liang CF Lee 2008 A new solution branch for the Blasius equation: a shrinking sheet problem Comput Math Appl 56 3088 3095 10.1016/j.camwa.2008.07.027 1165.76324 2474564
24. T Fang 2008 Boundary layer flow over a shrinking sheet with power-law velocity Int J Heat Mass Transf 51 5838 5843 10.1016/j.ijheatmasstransfer.2008. 04.067 1157.76010
25. T Fang J Zhang S Yao 2009 Viscous flow over an unsteady shrinking sheet with mass transfer Chin Phys Lett 26 014703 10.1088/0256-307X/26/1/014703 2009ChPhL..26a4703F
26. T Fang S Yao J Zhang A Aziz 2010 Viscous flow over a shrinking sheet with a second order slip flow model Commun Nonlinear Sci Numer Simul 15 1831 1842 10.1016/j.cnsns.2009.07.017 1222.76028 2010CNSNS..15.1831F 2585050
27. T Fang J Zhang 2010 Thermal boundary layers over a shrinking sheet: an analytical solution Acta Mech 209 325 343 10.1007/s00707-009-0183-2 05665057
28. T Fang J Zhang 2009 Closed-form exact solutions of MHD viscous flow over a shrinking sheet Commun Nonlinear Sci Numer Simul 14 2853 2857 10.1016/j.cnsns.2008.10.005 1221.76142 2009CNSNS..14.2853F
29. S Nadeem S Abbasbandy M Hussain 2009 Series solutions of boundary layer flow of a micropolar fluid near the stagnation point towards a shrinking sheet Z Naturforsch 64a 575 582
30. S Nadeem A Hussain MY Malik T Hayat 2009 Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet Appl Math Mech 30 1255 1262 10.1007/s10483-009-1005-6 1177.76015 2573429
31. S Nadeem A Hussain 2009 MHD flow of a viscous fluid on a nonlinear porous shrinking sheet with homotopy analysis method Appl Math Mech 30 1569 1578 10.1007/s10483-009-1208-6 05678926 2597868
32. S Nadeem N Faraz 2010 Thin film flow of a second grade fluid over a stretching/shrinking sheet with variable temperature-dependent viscosity Chin Phys Lett 27 034704 10.1088/0256-307X/27/3/034704 2010ChPhL..27c4704N
33. S Nadeem A Hussain M Khan 2010 Stagnation flow of a Jeffrey fluid over a shrinking sheet Z Naturforsch 65a 540 548
34. S Nadeem NS Akbar MY Malik 2010 Exact and numerical solutions of a micropolar fluid in a vertical annulus Numer Methods Partial Differ Equ 26 1660 1674 05814536 2732404
35. A Ishak YY Lok I Pop 2010 Stagnation-point flow over a shrinking sheet in a micropolar fluid Chem Eng Commun 197 1417 1427 10.1080/00986441003626169
36. N Bachok A Ishak I Pop 2010 Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet Phys Lett A 374 4075 4079 10.1016/j.physleta.2010.08.032 2010PhLA..374.4075B
37. T Hayat Z Abbas N Ali 2008 MHD flow and mass transfer of a upper-convected Maxwell fluid past a porous shrinking sheet with chemical reaction species Phys Lett A 372 4698 4704 10.1016/j.physleta.2008.05.006 1221.76031 2008PhLA..372.4698H
38. S Nadeem M Awais 2008 Thin film flow of an unsteady shrinking sheet through porous medium with variable viscosity Phys Lett A 372 4965 4972 10.1016/j.physleta.2008.05.048 1221.76233 2008PhLA..372.4965N
39. A Ishak R Nazar I Pop 2006 Boundary-layer flow of a micropolar fluid on a continuous moving or fixed surface Can J Phys 84 399 410 10.1139/p06-059 2006CaJPh..84..399I (Pubitemid 44784192)
40. G Ahmadi 1976 Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate Int J Eng Sci 14 639 646 10.1016/0020-7225(76)90006-9 0329.76041
41. Cebeci T, Bradshaw P (1988) Physical and computational aspects of convective heat transfer. Springer, New York
42. A Ishak NA Yacob N Bachok 2010 Radiation effects on the thermal boundary layer flow over a moving plate with convective boundary condition Meccanica 10.1007/s11012-010-9338-4
43. A Ishak 2009 Mixed convection boundary layer flow over a horizontal plate with thermal radiation Heat Mass Transf 46 147 151 10.1007/s00231-009-0552-3 2009HMT....46..147I
44. A Ishak 2009 Radiation effects on the flow and heat transfer over a moving plate in a parallel stream Chin Phys Lett 26 034701 10.1088/0256-307X/26/ 3/034701
45. A Ishak R Nazar N Bachok I Pop 2010 Melting heat transfer in steady laminar flow over a moving surface Heat Mass Transf 46 463 468 10.1007/s00231-010-0592-8 2010HMT....46..463I