Peristaltic flow of a couple stress fluid under the effect of induced magnetic field in an asymmetric channel

Archive of Applied Mechanics

Volumn 81, Issue 1, 2011, Pages 97-109

  Nadeem, Sohail ^a   Akram, Safia ^a  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Asymmetric channel; Couple stress fluid; Induced magnetic field; Peristaltic flow

Indexed keywords

ASYMMETRIC CHANNEL; COUPLE-STRESS FLUIDS; EXACT SOLUTION; FIELD EQUATION; FINITE REYNOLDS NUMBER; INDUCED MAGNETIC FIELDS; LONG WAVES; MATHEMATICA; MATHEMATICS SOFTWARE; PERISTALTIC FLOW; PERISTALTIC TRANSPORT; PHYSICAL BEHAVIORS; PHYSICAL PARAMETERS; PRESSURE RISE;

FLUIDS; MAGNETIC FIELDS; REYNOLDS NUMBER; WAVE EQUATIONS;

TRANSPORT PROPERTIES;

EID: 78650592390     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-009-0397-8     Document Type: Article

References (28)

1. V.K. Stokes 1966 Couple stress fluid Phys. Fluids. 9 1709 1715 10.1063/1.1761925
2. L.M. Srivastava 1986 Peristaltic transport of a couple stress fluid Rheol. Acta. 25 638 641 10.1007/BF01358172
3. Kh.S. Mekheimer Y. Abd Elmaboud 2008 Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope Phys. A 387 2403 2415
4. K.C. Valanis C.T. Sun 1969 Poiseuille flow of a fluid with couple stress with application to blood flow Biorheology 6 85 97
5. K. Vajravelu S. Sreenadh 2005 Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube Int. J. Non-Linear Mech. 40 83 05138573 10.1016/j.ijnonlinmec.2004.07.001
6. S. Nadeem N.S. Akbar 2009 Effects of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: Application of Adomian decomposition method Commun. Nonlinear Sci. Numer. Simul. 14 3844 3855 10.1016/j.cnsns.2008.09.010 2537571
7. A.H. Shapiro M.Y. Jaffrin S.L. Weinberg 1969 Peristaltic pumping with long wave length at low Reynolds numbers J. Fluid. Mech. 37 799 825 10.1017/S0022112069000899
8. Y.C. Fung C.S. Yih 1968 Peristaltic transport J. Appl. Mech. 35 669 675 0182.59302
9. T.K. Hung T.D. Brown 1976 J. Fluid Mech. 73 77 10.1017/S0022112076001262
10. T.D. Brown T.K. Hung 1977 Computational and experimental investigations of two dimensional non linear peristaltic flows J. Fluid Mech. 83 249 0373.76099 10.1017/S0022112077001189
11. S.L. Weinberg E.C. Eekistein A.H. Shapiro 1971 An experimental study of peristaltic pumping J. Fluid Mech. 49 461 497 10.1017/S0022112071002209
12. C.S. Yih Y.C. Fung 1969 Peristaltic waves in circular cylindrical tubes J. Appl. Mech. 36 579 587
13. C.S. Yih Y.C. Fung 1971 Comparison of theory and experiment in peristaltic transport J. Fluid Mech. 47 93 112 10.1017/S0022112071000958
14. S. Nadeem S. Akram 2010 Heat transfer in a peristaltic flow of MHD fluid with partial slip Commun. Nonlinear Sci. Numer. Simul. 15 312 321 10.1016/j.cnsns.2009.03.038 2585040
15. N. Ali T. Hayat M. Sajid 2007 Peristaltic flow of a couple strees fluid in an asymmetric channel Biorheology 44 125 138 (Pubitemid 47356404)
16. M.H. Haroun 2007 Non-linear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel Comput. Mater. Sci. 39 324 333 10.1016/j.commatsci.2006.06.012 (Pubitemid 46389610)
17. A. El Hakeem A. El Naby A.E. El Misiery 2002 Efects of an endoscope and generalized Newtonian fluid on peristaltic motion Appl. Math. Comput. 128 19 35 1126.76403 10.1016/S0096-3003(01)00153-9 1891177 (Pubitemid 34182420)
18. M.H. Haroun 2007 Effects of Deborah number and phase difference on peristaltic transport of a third order fluid in an asymmetric channel Commun. Nonlinear Sci. Numer. Simul. 12 1464 1480 1127.76069 10.1016/j.cnsns.2006.03.002 2332642 (Pubitemid 46844671)
19. T. Hayat N. Ali S. Asghar 2007 Hall effects on peristaltic flow of a Maxwell fluid in a porous medium Phys. Lett. A 363 397 403 1197.76126 10.1016/j.physleta.2006.10.104
20. M.H. Haroun 2005 J. Appl. Mech. Tech. Phys. 46 842 850 10.1007/s10808-005-0142-1 (Pubitemid 41644644)
21. Kh.S. Mekheimer 2003 Nonlinear peristaltic transport through a porous medium in an inclined planar channel J. Porous Media. 6 189 201 1057.76059 10.1615/JPorMedia.v6.i3.40
22. E.F. Elshehawey N.T. Eldabe E.M. Elghazy A. Ebaid 2006 Peristaltic transport in an asymmetric channel through porous medium Appl. Math. Comput. 182 140 150 1149.76670 10.1016/j.amc.2006.03.040 2292026 (Pubitemid 44781030)
23. A. El Hakeem A. El Naby A.E. El Misiery 2006 Hydromagnetic flow of generalized Newtonian fluid through a uniform tube through peristalsis Appl. Math. Comput. 173 856 871 1092.76072 10.1016/j.amc.2005.04.020 2207982 (Pubitemid 43243543)
24. T. Hayat N. Ali 2007 A mathematical decription of peristaltic hydromagnetic flow in a tube Appl. Math. Comput. 188 1491 1502 1114.76072 10.1016/j.amc.2006.11.035 2335646 (Pubitemid 46710041)
25. Kh.S. Mekheimer 2008 Effect of induced magnetic field on peristaltic flow of a couple stress fluid Phys. Lett. A. 372 4271 4278 10.1016/j.physleta.2008. 03.059
26. L.M. Srivastava R.P. Agrawal 1980 Oscillating flow of a conducting fluid with suspension of spherical particles J. Appl. Mech. 47 196 10.1115/1.3153605
27. H.L. Agrawal B. Anwaruddin 1984 Peristaltic flow of blood in a branch Ranchi Uni. Math. J 15 111 0579.76128 832852
28. M. Orisaka T. Kurokawa K. Shukunami S. Orisaka M.T. Fukuda A. Shinagawa S. Fukuda N. Ihara H. Yamada H. Itoh F. Kotsuji 2007 A comparison of uterine peristalsis in women with normal uteri and uterine leiomyoma by cine magnetic resonance imaging Eur. J. Obstet. Gynecol. Reprod. Biol. 135 111 115 10.1016/j.ejogrb.2006.07.040 (Pubitemid 350026150)