MHD peristaltic transport of a Jeffery fluid in a channel with compliant walls and porous space

Transport in Porous Media

Volumn 74, Issue 3, 2008, Pages 259-274

  Hayat, T ^a   Javed, Maryiam ^a   Ali, N ^a  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Compliant walls; Jeffery fluid; Peristaltic transport; Porous medium; Reversal flow

Indexed keywords

CONSTITUTIVE EQUATIONS; FLUID DYNAMICS; FLUID MECHANICS; NEWTONIAN LIQUIDS;

CHANNEL WALLS; COMPLIANT WALLS; FLOW PARAMETERS; JEFFERY FLUID; MAGNETO-HYDRODYNAMIC; MATHEMATICAL MODELLING; NON-NEWTONIAN FLUIDS; PERISTALTIC TRANSPORT; POROUS MEDIUM; POROUS SPACE; REVERSAL FLOW; SERIES SOLUTIONS; STREAM FUNCTIONS; TRAVELING WAVES;

WALLS (STRUCTURAL PARTITIONS);

CHANNEL FLOW; CONSTITUTIVE EQUATION; GRAPHICAL METHOD; MAGNETOHYDRODYNAMICS; NON-NEWTONIAN FLUID; PARAMETERIZATION; POROUS MEDIUM; TRANSPORT PROCESS;

EID: 50249135377     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-007-9196-2     Document Type: Article

References (18)

1. Abd Elnaby, M.A., Haroun, M.H.: A new model for study the effect of wall properties on peristaltic transport of a viscous fluid. Comm. Nonlinear Sci. Numer. Simul. 13, 752-762 (2008)
2. Davies, C., Carpenter, P.W.: Instabilities in a plane channel flow between compliant walls. J. Fluid Mech. 352, 205-243 (1997)
3. Elshahed, M., Haroun, M.H.: Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field. Math. Problems Eng. 6, 663-667 (2005)
4. Elshehawey, E.F., Mekheimer, Kh.S.: Couple-stresses in peristaltic transport of fluids. J. Phys. D: Appl. Phys. 27, 1163-1170 (1994)
5. Fung, Y.C., Yih, C.S.: Peristaltic transport. Trans. ASME J. Appl. Mech. 33, 669-675 (1968)
6. Haroun, M.H.: Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel. Comm. Nonlinear Sci. Numer. Simul. 12, 1464-1480 (2007)
7. Hayat, T., Wang, Y., Siddiqui, A.M., Hutter, K., Asghar, S.: Peristaltic transport of a third-order fluid in a circular cylindrical tube. Math. Models Meth. Appl. Sci. 12, 1691-1706 (2002)
8. Hayat, T., Wang, Y., Siddiqui, A.M., Hutter, K.: Peristaltic motion of Johnson-Segalman fluid in a planar channel. Math. Problems Eng. 1, 1-23 (2003)
9. Hayat, T., Wang, Y., Hutter, K., Asghar, S., Siddiqui, A.M.: Peristaltic transport of an Oldroyd-B fluid in a planar channel. Math. Problems Eng. 4, 347-376 (2004)
10. Hayat, T., Mahomed, F.M., Asghar, S.: Peristaltic flow of a magnetohydrodynamic Johnson-Segalman fluid. Nonlinear Dyn. 40, 375-385 (2005)
11. Hayat, T., Khan, M., Asghar, S., Siddiqui, A.M.: A mathematical model of peristalsis in tubes through a porous medium. J. Porous Media 9, 55-67 (2006)
12. Hayat, T., Momoniat, E., Mahomed, F.M.: Effect of an endoscope and an electrically conducting third grade fluid on peristaltic motion. Int. J. Modern Phys. B (in press)
13. Latham, T.W.: Fluid motion in a peristaltic pump. MS Thesis, Massachusetts Institute of Technology, Cambridge AMA (1996)
14. Mekheimer, Kh.S.: Peristaltic transport of a couple-stress fluid in a uniform and non-uniform channels. Biorheology 39, 755-765 (2002)
15. Mekheimer, Kh.S.: Peristaltic flow of blood under effect of a magnetic field in non-uniform channels. Appl. Math. Comput. 153, 763-777 (2004)
16. Mishra, M., Rao, A.R.: Peristaltic transport of a Newtonian fluid in an asymmetric channel. Z. Angew. Math. Phys. 54, 532-540 (2004)
17. Siddiqui, A.M., Provost, A., Schwarz, W.H.: Peristaltic pumping of a second order fluid in a planar channel. Rheol. Acta 30, 249-262 (1991)
18. Tan, W.C., Masuoka, T.: Stokes' first problem for an Oldroyd-B fluid in a porous half space. Phys. Fluid 17, 023101-023107 (2005)