Peristaltic transport of a power-law fluid in a porous tube

Journal of Non-Newtonian Fluid Mechanics

Volumn 121, Issue 2-3, 2004, Pages 163-174

  Ramachandra Rao, A ^a   Mishra, Manoranjan ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Peristaltic pumping; Porous medium; Power law fluid; Reflux; Trapping

Indexed keywords

BIOLOGICAL ORGANS; BOUNDARY CONDITIONS; NEWTONIAN FLOW; POROSITY; PRESSURE EFFECTS; REYNOLDS NUMBER;

SINUSOIDAL WAVE; THICKENING FLUID;

NON NEWTONIAN FLOW;

FLUID FLOW; POWER LAW FLUID; TRANSPORT;

EID: 4143143101     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.06.006     Document Type: Article

References (24)

1. A.H. Shapiro, M.Y. Jaffrin, S.L. Weinberg, Peristaltic pumping with long wavelengths at low Reynolds number, J. Fluid Mech. 37 (1969) 799-825.
2. M.Y. Jaffrin, A.H. Shapiro, Peristaltic pumping, Ann. Rev. Fluid Mech. 3 (1971) 13-36.
3. G. Böhme, R. Friedrich, Peristaltic flow of viscoelastic liquids, J. Fluid Mech. 128 (1983) 109-122.
4. G. Radhakrishnamacharya, Long wavelength approximation to peristaltic motion of a power law fluid, Rheol. Acta 21 (1982) 30-35.
5. L.P. Srivastava, V.P. Srivastava, Peristaltic transport of Blood: Casson model II, J. Biomech. 17 (1984) 821-830.
6. D. Srinivasacharya, M. Mishra, A.R. Rao, Peristaltic pumping of a micropolar fluid in a tube, Acta Mech. 161 (2003) 165-178.
7. A.M. Siddiqui, A. Provost, W.H. Schwarz, Peristaltic pumping of a second-order fluid in a planar channel, Rheol. Acta 30 (1991) 249-262.
8. A.M. Siddiqui, W.H. Schwarz, Peristaltic flow of a second-order fluid in tubes, J. Non-Newtonian Fluid Mech. 53 (1994) 257-284.
9. L.M. Srivastava, V.P. Srivastava, Peristaltic transport of a power-law fluid: applications to the ductus efferentes of the reproductive tract, Rheol. Acta 27 (1988) 428-433.
10. L.M. Srivastava, V.P. Srivastava, Peristaltic transport of a non-Newtonian fluid: applications to the vas deferens and small intestine, Ann. Biomed. Eng. 13 (1985) 137-153.
11. J.C. Misra, S.K. Pandey, A mathematical model for oesophegeal swallowing of a food-bolus, Math. Comput. Model 33 (2001) 997-1009.
12. S. Usha, A. Ramachandra Rao, Peristaltic transport of two-layered power-law fluids, Trans. ASME J. Biomech. Eng. 119 (1997) 483-488.
13. J.B. Shukla, S.P. Gupta, Peristaltic transport of a power-law fluid with variable consistency, Trans. ASME J. Biomech. Eng. 104 (1982) 182-186.
14. S. Najaraian, H. Niroomand, Peristaltic transport of a power-law fluid with variable consistency, in: Proceedings of the 12th Conference of the European Society of Biomechanics, Dublin, 2000, p. 308.
15. J.R. Keener, J. Sneyd, Mathematical Physiology, Springer, New York, 1998, Chapter 21.
16. G.W. Reese, H.J. Rath, A Model of a Combined Porous Peristaltic Pumping System, in: L.S. Srinath, M. Singh (Eds.), Proceedings of the Second International Conference on Physiological Fluid Dynamics on Physiological Fluid Dynamics II, IIT Madras, Tata McGraw-Hill, New Delhi, 1987, pp. 190-195.
17. G.S. Beavers, D.D. Joseph, Boundary conditions at a naturally permeable wall, J. Fluid Mech. 30 (1967) 197-207.
18. P.G. Saffman, On the boundary conditions at the surface of a porous medium, Stud. Appl. Math. 1 (1971) 93-101.
19. R.B. Bird, W.E. Stewart, E.N. Lightfoot, Transport Phenomena, John Wiley & Sons, Singapore, 1960.
20. N.P. Cheremisinoff, Encyclopedia of Fluid Mechanics, Rheology and Non-Newtonian Flows, vol. 7, Gulf Publishing Co., Houston, TX, 1988.
21. A.M. Provost, W.H. Schwarz, A theoretical study of viscous effects in peristaltic pumping, J. Fluid. Mech. 279 (1994) 177-195.
22. A.B. Metzner, J.C. Reed, Flow of non-Newtonian fluids-correlation of the laminar, transition, and turbulent-flow regions, AIChE J. 1 (4) (1955) 434-440.
23. A.V. Shenoy, Non-Newtonian fluid heat transfer in porous media, Adv. Heat Transfer 24 (1994) 101-190.
24. A. Ramachandra Rao, S. Usha, Peristaltic transport of two immiscible viscous fluid in a circular tube, J. Fluid Mech. 298 (1995) 271-285.