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

Abstract 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.

[1]  Howard A. Stone,et al.  Peristaltically driven channel flows with applications toward micromixing , 2001 .

[2]  A. Eringen,et al.  Microcontinuum Field Theories II Fluent Media , 1999 .

[3]  T. Ariman,et al.  Microcontinuum fluid mechanics—A review , 1973 .

[4]  R. Devanathan,et al.  Peristaltic motion of a micropolar fluid , 1975 .

[5]  Thomas D. Brown,et al.  Computational and experimental investigations of two-dimensional nonlinear peristaltic flows , 1977, Journal of Fluid Mechanics.

[6]  M. R. Kaimal,et al.  On Peristaltic Pumping , 1978 .

[7]  P. Tong,et al.  An Analysis of Peristaltic Pumping , 1972 .

[8]  K. Ayukawa,et al.  Numerical study of two-dimensional peristaltic flows , 1982, Journal of Fluid Mechanics.

[9]  S. Weinberg,et al.  Peristaltic pumping with long wavelengths at low Reynolds number , 1968, Journal of Fluid Mechanics.

[10]  P. Sinha,et al.  Squeeze Film Theory for Micropolar Fluids , 1976 .

[11]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[12]  L M Srivastava,et al.  Peristaltic transport of blood: Casson model--II. , 1984, Journal of biomechanics.

[13]  K. Raju,et al.  Peristaltic motion of a non-Newtonian fluid , 1972 .

[14]  S. Prasad,et al.  On the influence of wall properties and Poiseuille flow in peristalsis. , 1973, Journal of biomechanics.

[15]  K. B. Naidu,et al.  A numerical study of peristaltic flows , 1995 .

[16]  G. Radhakrishnamacharya,et al.  Long wavelength approximation to peristaltic motion of a power law fluid , 1982 .

[17]  L. M. Srivastava.  Peristaltic transport of a couple-stress fluid , 1986 .

[18]  A. Eringen.  Microcontinuum Field Theories , 2020, Advanced Continuum Theories and Finite Element Analyses.

[19]  T. Ariman,et al.  Applications of microcontinuum fluid mechanics , 1974 .

[20]  S. J. Allen,et al.  Nonsteady Flows of Fluids with Microstructure , 1970 .

[21]  Frank C. P. Yin,et al.  Comparison of theory and experiment in peristaltic transport , 1971, Journal of Fluid Mechanics.

[22]  G. Böhme,et al.  Peristaltic Flow of Viscoelastic Liquids , 1983 .