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On the influence of wall properties in the peristaltic motion of micropolar fluid

Published online by Cambridge University Press:  17 February 2009

P. Muthu ,
B. V. Rathish Kumar  and
Peeyush Chandra
P. Muthu
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur 208 016, India; e-mail: peeyush@iitk.ac.in.
B. V. Rathish Kumar
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur 208 016, India; e-mail: peeyush@iitk.ac.in.
Peeyush Chandra
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur 208 016, India; e-mail: peeyush@iitk.ac.in.
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Abstract

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We carry out a study of the peristaltic motion of an incompressible micropolar fluid in a two-dimensional channel. The effects of viscoelastic wall properties and micropolar fluid parameters on the flow are investigated using the equations of the fluid as well as of the deformable boundaries. A perturbation technique is used to determine flow characteristics. The velocity profile is presented and discussed briefly. We find the critical values of the parameters involving wall characteristics, which cause mean flow reversal.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 2 , October 2003 , pp. 245 - 260
Copyright
Copyright © Australian Mathematical Society 2003

References

[1]Ariman, T., Turk, M. A. and Sylvester, N. D., “Microcontinuum fluid mechanics. A review”, Int. J. Engng. Sci. 11 (1973) 905–930.CrossRefGoogle Scholar
[2]Ariman, T., Turk, M. A. and Sylvester, N. D., “Applications of microcontinuum fluid mechanics”, int. J. Engng. sci. 12 (1974) 273–293.CrossRefGoogle Scholar
[3]Böhme, G. and Friedrich, R., “Peristaltic flow of viscoelastic liquids”, J. Fluid Mech. 128 (1983) 109–122.CrossRefGoogle Scholar
[4]Brown, T. D. and Hung, T. K., “Computational and experimental investigations of two-dimensional nonlinear peristaltic flows”, J. Fluid Mech. 83 (1977) 249–272.CrossRefGoogle Scholar
[5]Burns, J. C. and Parkes, T., “Peristaltic motion”, J. Fluid Mech. 29 (1969) 731–743.CrossRefGoogle Scholar
[6]Eringen, A. C., “Theory of micropolar fluids”, J. Math. Mech. 16 (1966) 1–18.Google Scholar
[7]Eringen, A. C., Microcontinuum field theories. Vol. 2: Fluent media (Springer, New York, 2001).Google Scholar
[8]Fung, Y. C. and Yih, C. S., “Peristaltic transport”, Trans. ASME J. Appl. Mech. 35 (1968) 669–675.CrossRefGoogle Scholar
[9]Girija Devi, R. and Devanathan, R., “Peristaltic transport of micropolar fluid”, Proc. Indian Acad. Sci. 81(A) (1975) 149–163.CrossRefGoogle Scholar
[10]Jaffrin, M. Y. and Shapiro, A. H., “Peristaltic pumping”, Annual Rev. Fluid Mech. 3 (1971) 13–36.CrossRefGoogle Scholar
[11]Kline, K. A. and Allen, S. J., “Nonsteady flows of fluids with microstructure”, Phys. Fluids 13 (1970) 263–270.CrossRefGoogle Scholar
[12]Mittra, T. K. and Prasad, S. N., “On the influence of wall properties and Poiseuille flow in the peristalsis”, J. Biomechanics 6 (1973) 681–693.CrossRefGoogle ScholarPubMed
[13]Philip, D. and Chandra, Peeyush, “Peristaltic transport of simple micro fluid”, Proc. Nat. Acad. Sci. India 65(A) (1995) 63–74.Google Scholar
[14]Prakash, J. and Sinha, P., “Squeeze film theory for micropolar fluids”, Tran. ASME J. Lubrication Tech. 98 (1976) 139–144.CrossRefGoogle Scholar
[15]Radhakrishnamacharya, G., “Long wave length approximation to peristaltic motion of a power law fluid”, Rheol. Acta 21 (1982) 30–35.CrossRefGoogle Scholar
[16]Raju, K. K. and Devanathan, R., “Peristaltic motion of a non-Newtonian fluid. I”, Rheol. Acta 11 (1972) 170–178.CrossRefGoogle Scholar
[17]Rathish Kumar, B. V. and Naidu, K. B., “A numerical study of peristaltic flows”, Compt. Fluids 24 (1995) 161–176.CrossRefGoogle Scholar
[18]Selverov, K. P. and Stone, H. A., “Peristaltically driven channel flows with applications toward micromixing”, Phys. Fluids 13 (2001) 1837–1859.CrossRefGoogle Scholar
[19]Shapiro, A. H., Jaffrin, M. Y. and Weinberg, S. L., “Peristaltic pumping with long wavelength at low Reynolds number”, J. Fluid Mech. 37 (1969) 799–825.CrossRefGoogle Scholar
[20]Srivastava, L. M., “Peristaltic transport of couple-stress fluid”, Rheol. Acta 25 (1986) 638–641.CrossRefGoogle Scholar
[21]Srivastava, L. M. and Srivastava, V. P., “Peristaltic transport of blood: Casson model. II”, J. Biomechanics 17 (1984) 821–829.CrossRefGoogle ScholarPubMed
[22]Takabatake, S. and Ayukawa, K., “Numerical study of two-dimensional peristaltic flows”, J. Fluid Mech. 122 (1982) 439–465.CrossRefGoogle Scholar
[23]Tong, P. and Vawter, D., “An analysis of peristaltic pumping”, Trans. ASME J. Appl. Mech. 39 (1972) 857–862.CrossRefGoogle Scholar
[24]Yin, F. and Fung, Y. C., “Comparison of theory and experiment in peristaltic transport”, J. Fluid Mech. 47 (1971) 93–112.CrossRefGoogle Scholar