Peristaltic motion of micropolar fluid in circular cylindrical tubes : Effect of wall properties

In this paper, peristaltic motion of micropolar fluid in a circular cylindrical flexible tube with viscoelastic or elastic wall properties has been considered. A finite difference scheme is developed to solve the governing equations of motion resulting from a perturbation technique for small values of amplitude ratio. The time mean axial velocity profiles are presented for the case of free pumping and analysed to observe the influence of wall properties for various values of micropolar fluid parameters. In the case of viscoelastic wall, the effect of viscous damping on mean flow reversal at the boundary is seen.

[1]  Grzegorz Lukaszewicz,et al.  Micropolar Fluids: Theory and Applications , 1998 .

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

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

[4]  A. J. Willson,et al.  Boundary layers in micropolar liquids , 1970, Mathematical Proceedings of the Cambridge Philosophical Society.

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

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

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

[8]  Peeyush Chandra,et al.  On the influence of wall properties in the peristaltic motion of micropolar fluid , 2003, The ANZIAM Journal.

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

[10]  V. P. Srivastava,et al.  PERISTALTIC TRANSPORT OF BLOOD , 1982 .

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

[12]  D. Srinivasacharya,et al.  Peristaltic pumping of a micropolar fluid in a tube , 2003 .

[13]  H A Hogan,et al.  An evaluation of a micropolar model for blood flow through an idealized stenosis. , 1989, Journal of biomechanics.

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

[15]  E. F. Elshehawey,et al.  PERISTALTIC VISCOELASTIC FLUID MOTION IN A TUBE , 2001 .

[16]  Thomas Walker Latham.  Fluid motions in a peristaltic pump. , 1966 .

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

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

[19]  M. Damodaran,et al.  A Numerical Investigation of Peristaltic Waves in Circular Tubes , 2002 .

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

[21]  T. Ariman,et al.  On Steady and Pulsatile Flow of Blood , 1974 .

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

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

[24]  M. Mishra,et al.  Peristaltic transport of a Newtonian fluid in an asymmetric channel , 2003 .

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

[26]  Y. Fung,et al.  Peristaltic Waves in Circular Cylindrical Tubes , 1969 .