Skip to main content
Log in

Peristaltic transport of small particles — power law fluid suspension in a channel

  • Scientific Papers
  • Published:
Australasian Physics & Engineering Sciences in Medicine Aims and scope Submit manuscript

Abstract

Peristaltic motion of a non-Newtonian, incompressible power law fluid with suspension of small particles in a twodimensional channel is analyzed. A perturbation method has been employed to obtain the solution of the problem under the long wavelength approximation. The formation and growth of trapping zone are explained for variations in amplitude ratio and volume flow rate. The phenomenon of reflux has been studied. The behaviour of the axial velocity of fluid and solid particles has been discussed. The speed of the suspended particles is observed to be less than that of the fluid particles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Srivastava, L. M. and Srivastava, V. P.,Peristaltic motion of blood: Casson model II, J. Biomechanics, 17(11): 821–829, 1984.

    Article  CAS  Google Scholar 

  2. Latham, T. W.,Flow motions in a peristaltic pump, MS Thesis, MIT, 1966.

  3. Burns, J.C. and Parkes, T.,Peristaltic Motion, J. Fluid Mech., 29(4): 731–743, 1967.

    Article  Google Scholar 

  4. Barton, C. and Raynor, S.,Peristaltic Flow in Tubes, Bull. Math. Biophys., 30: 663–680, 1968.

    Article  CAS  PubMed  Google Scholar 

  5. Shapiro, A.H., Jafrin, M.Y. and Wienberg, S.L.,Peristaltic Pumping with Long Wavelengths at Low Reynolds Number, J. Fluid Mech. 37: 799–825, 1969.

    Article  Google Scholar 

  6. Ramachandra Rao, A. and Usha, S.,Peristaltic Transport of two immiscible viscous fluids in a circular tube, J. Fluid Mech., 298: 271 -285, 1995.

    Article  Google Scholar 

  7. Srivastava, L. M. and Srivastava, V. P.,Peristaltic motion of a power-law fluid: Application to the reproductive tract, Rheol Acta, 27: 428–433, 1988.

    Article  Google Scholar 

  8. Usha, S. and Rao, A.R., Peristaltic transport of two-layered power-law fluids, J. Biomech. Eng., 119(4): 483–488, 1997.

    Article  CAS  PubMed  Google Scholar 

  9. Mernone, A.V. and Mazumdar, J.N.,Mathematical modeling of peristaltic transport of a non-Newtonian fluid, Australasian Physical and Engineering Sciences in Medicine, 21(3): 126–140, 1998.

    CAS  Google Scholar 

  10. Mernone, A.V., Mazumdar, J. N.,Biomathematical modeling of physiological fluids using a Casson fluid with emphasis to peristalsis, Australasian Physical and Engineering Sciences in Medicine, 23(3): 94–100, 2000.

    CAS  Google Scholar 

  11. Mernone, A.V. Mazumdar, J.N. and Lucas, S.K.,A mathematical study of peristaltic transport of a Casson fluid, Mathematical and Computer Modelling 35: 894–912, 2002.

    Article  Google Scholar 

  12. Fung, Y.C.,Biomechanics: Mechanical properties of living tissues, 1st ed., Springer Verlag, New York, 75, 1981.

    Google Scholar 

  13. Fung, Y.C.,Biodynamics: Circulation, 1st ed., Springer Verlag, New York, 54, 1984.

    Google Scholar 

  14. Nagarani, P. and Sarojamma, G.,Peristaltic transport of a Casson fluid in an asymmetric channel, Australasian Physical and Engineering Sciences in Medicine, 27(2): 49–59, 2004.

    Article  Google Scholar 

  15. Mekheimer, Kh.S., Elsayed, F., Shehawey, E.I. and Elaw, A.M.,Peristaltic motion of a particle-fluid suspension in a planar channel, Int. Journal of theoretical physics. 37(11): 2895–2920, 1998.

    Article  Google Scholar 

  16. Usha, R., Senthikumar, S. and Tulapurkara, E.G.,Stability characteristics of suspension flow through wavy-walled channels, Acta Mechanica, 176, 1–26 2005.

    Article  Google Scholar 

  17. Hung, T.K. and Brown, T.D.,Solid-Particle motion in twodimensional peristaltic flow, J. Fluid Mech. 73, 77–96, 1976.

    Article  Google Scholar 

  18. Srivatsava L. M. and Srivastava, V. P.,Peristaltic transport of a particle- fluid suspension, J. Biomech.Eng. 111, 157–165, 1989.

    Article  Google Scholar 

  19. Misra, J.C. and Pandey, S.K.,Peristaltic transport of a particle- fluid suspension in a cylindrical tube, Computers Math. Applic., 28(4): 131–145, 1994.

    Article  Google Scholar 

  20. Saffman, P.G.,On the stability of laminar flow of dusty gas, J. Fluid Mech. 13: 120–128, 1962.

    Article  Google Scholar 

  21. Bird, R. B., Armstrong, R. C. and Ole Hassager,Dynamics of polymeric liquids, 1st ed., Wiley and Sons, New York, 28, 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Nagarani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nagarani, P., Sarojamma, G. Peristaltic transport of small particles — power law fluid suspension in a channel. Australas. Phys. Eng. Sci. Med. 30, 185–193 (2007). https://doi.org/10.1007/BF03178425

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03178425

Key words

Navigation