Citation: | T. Hayat, Maryiam Javed. Exact Solution for Peristaltic Transport of Power-Law Fluid in an Asymmetric Channel With Compliant Walls[J]. Applied Mathematics and Mechanics, 2010, 31(10): 1172-1180. doi: 10.3879/j.issn.1000-0887.2010.10.004 |
[1] |
Shapiro A H, Jaffrin M Y, Weinberg S L. Peristaltic pumping with long wavelengths at low Reynolds number[J]. J Fluid Mech, 1969, 37(4): 799-825. doi: 10.1017/S0022112069000899
|
[2] |
Fung Y C, Yih C S. Peristaltic transport[J]. Trans ASME J Appl Mech, 1968, 35: 669-675. doi: 10.1115/1.3601290
|
[3] |
Fetecau C, Fetecau C, Khan M, Vieru D. Decay of a potential vortex in a generalized Oldroyd-B fluid[J]. Appl Math Computation, 2008, 205(1): 497-506. doi: 10.1016/j.amc.2008.08.017
|
[4] |
Hayat T, Fetecau C, Sajid M. On MHD transient flow of a Maxwell fluid in a porous medium and rotating frame[J]. Phys Letters A, 2008, 372(10): 1639-1644. doi: 10.1016/j.physleta.2007.10.036
|
[5] |
Hayat T, Wang Y, Siddiqui A M, Hutter K. Peristaltic motion of Johnson-Segalman fluid in a planar channel[J]. Math Problems Eng, 2003, 2003(1): 1-23. doi: 10.1155/S1024123X03308014
|
[6] |
Hayat T, Wang Y, Hutter K, Asghar S, Siddiqui A M. Peristaltic transport of an Oldroyd-B fluid in a planar channel[J]. Math Problems Eng, 2004, 2004(4): 347-376. doi: 10.1155/S1024123X04405043
|
[7] |
Hayat T, Khan M, Asghar S, Siddiqui A M. A mathematical model of peristalsis in tubes through a porous medium[J]. J Porous Media, 2006, 9(1): 55-67. doi: 10.1615/JPorMedia.v9.i1.40
|
[8] |
Hayat T, Mahomed F M, Asghar S. Peristaltic flow of a magnetohydrodynamic Johnson-Segalman fluid[J]. Nonlinear Dynamics, 2005, 40(4): 375-385. doi: 10.1007/s11071-005-7799-0
|
[9] |
Hayat T, Khan M, Siddiqui A M, Asghar S. Non-linear peristaltic flow of a non-Newtonian fluid under effect of a magnetic field in a planar channel[J]. Comm Nonlinear Sci Numer Simulation, 2007, 12(6): 910-919. doi: 10.1016/j.cnsns.2005.08.007
|
[10] |
Mekheimer Kh S, Elmaboud Y Abd. The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: application of an endoscope[J]. Phys Lett A, 2008, 372(10): 1657-1659. doi: 10.1016/j.physleta.2007.10.028
|
[11] |
Mekheimer Kh S. Peristaltic transport of a couple-stress fluid in a uniform and non-uniform channels[J]. Biorheology, 2002, 39(6): 755-765.
|
[12] |
Mekheimer Kh S. Peristaltic flow of blood under effect of a magnetic field in non-uniform channels[J]. Appl Math Computation, 2004, 153(3): 763-777. doi: 10.1016/S0096-3003(03)00672-6
|
[13] |
Elshahed M, Haroun M H. Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field[J]. Math Problems Eng, 2005, 2005(6): 663-667. doi: 10.1155/MPE.2005.663
|
[14] |
Akgul M B, Pakdemirli M. Analytic and numerical solutions of electro-osmotically driven flow of a third grade fluid between micro-parallel plates[J]. International Journal of Non-Linear Mechanics, 2008, 43(9): 985-992. doi: 10.1016/j.ijnonlinmec.2008.07.008
|
[15] |
Raju K K, Devanathan R. Peristaltic motion of a non-Newtonian—part Ⅰ[J]. Rheol Acta, 1972, 11(2): 170-178. doi: 10.1007/BF01993016
|
[16] |
Radhakrishnamacharya G. Long wave length approximation to peristaltic motion of power law fluid[J]. Rheol Acta, 1982, 21(1): 30-35. doi: 10.1007/BF01520703
|
[17] |
Lew H S, Fung Y C, Lowenstein C B. Peristaltic carrying and mixing of chyme in the small intestine (an analysis of a mathematical model of peristaltic of the small intestine)[J]. J Biomech, 1971, 4(4): 297-315. doi: 10.1016/0021-9290(71)90036-4
|
[18] |
Misra J C, Pandey S K. A mathematical model for oesophageal swallowing of a food bolus[J]. Math Comput Model, 2001, 33(8/9): 997-1009. doi: 10.1016/S0895-7177(00)00295-8
|
[19] |
Srivastava L M, Srivastava V P. Peristaltic transport of power-law fluid: application to the ductus of efferentes of the reproductive tract[J]. Rheol Acta, 1988, 27(4): 428-433. doi: 10.1007/BF01332164
|
[20] |
Mishra M, Rao A R. Peristaltic transport of a Newtonian fluid in an asymmetric channel[J]. Z Angew Math Phys, 2003, 54(3): 532-550. doi: 10.1007/s00033-003-1070-7
|
[21] |
Ali N, Hayat T, Asghar S. Peristaltic flow of a Maxwell fluid in a channel with compliant walls[J]. Chaos, Solitons & Fractals, 2009, 39(1): 407-416.
|
[22] |
Hayat T, Javed M, Ali N. MHD peristaltic transport of a Jeffrey fluid in a channel with compliant walls and porous space[J]. Trans Porous Media, 2008, 74(3): 259-274. doi: 10.1007/s11242-007-9196-2
|
[23] |
Srinivas S, Kothandapani M. The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls[J]. Appl Math Computation, 2009, 213(1): 197-208. doi: 10.1016/j.amc.2009.02.054
|
[24] |
Hayat T, Javed M, Asghar S. MHD peristaltic motion of Johnson-Segalman fluid in a channel with compliant walls[J]. Phys Lett A, 2008, 372(30): 5026-5036. doi: 10.1016/j.physleta.2008.03.065
|
[25] |
Kothandapani M, Srinivas S. On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium[J]. Phys Lett A, 2008, 372(25): 4586-4591. doi: 10.1016/j.physleta.2008.04.050
|