Peristaltic transport of physiological fluids

Biomathematics: Modelling and Simulation

Volumn , Issue , 2006, Pages 167-193

  Misra, J C ^a   Pandey, S K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT SIMULATION;

PERISTALTIC TRANSPORT; PHYSIOLOGICAL FLUIDS;

SOFTWARE ENGINEERING;

EID: 84968792134     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812774859_0007     Document Type: Chapter

References (74)

1. G. Barton and S. Raynor, Peristaltic flow in tubes, Bull. Math. Biophy. 30 (1968) 663-688.
2. H. Bergman, The Ureter (Harpens & Row, New York, 1967).
3. G. B. Bohme and R. Friedrish, Peristaltic flow of viscoelastic liquids, J. Fluid Mech. 128 (1983) 109-122.
4. H. L. Borison and S. C. Wang, Physiology and pharmacology of vomiting, Pharmacol. Rev. 5 (1953) 193.
5. J. F. Bosma, Deglutition: Pharyngeal stage, Physiol. Rev. 37 (1957) 275.
6. S. Boyarsky (ed.), Neuorgenic Bladder (Williams and Wilkins Co., Baltimore, 1967).
7. J. G. Brasseur, S. Corrsin and N. Q. Lu, The influence of a peripheral layer of different viscosity on peristaltic pumping with Newtonian fluids, J. Fluid Mech. 174 (1987) 495-519.
8. T. D. Brown and T. K. Hung, Computational and experimental investigations of two dimensional non-linear peristaltic flows, J. Fluid Mech. 83 (1974) 249-272.
9. G. Bugliarello and J. Sevilla, Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes, Biorheology 7 (1970) 85-107.
10. J. C. Burns and T. Parkes, Peristaltic motion, J. Fluid Mech. 29 (1967) 731-743.
11. H. Buthaud, The influence of unsymmetry, wall slope and wall motion on peristaltic pumping at small Reynolds number, M. S. thesis, Department of Mechanics, The John Hopkins University (1971).
12. E. O. Carew and T. J. Pedley, An active membrane model for peristaltic pumping: Part 1-Periodic activation waves in an infinite tube, Trans. ASME J. Biomech. Engng. 119 (1997) 66-76.
13. N. Casson, Rheology of dispersive systems, ed. C. C. Mills, Pergamon, Oxford, 84 (1959).
14. -1, Nature 206 (1965) 617.
15. S. E. Charm and G. S. Kurland, Blood Flow and Micro-Circulation (John Wiley, New York, 1974).
16. G. R. Cockelet, The rheology of human blood, in Biomechanics, Rs Foundation and Objectives, eds. Y. C. Fung, N. Perrone and M. Anliker (Prentice-Hall, Englewood Cliffs, N. J., 1972), pp. 63-103.
17. T. S. Chow, Peristaltic transport in a circular cylindrical pipe, Trans. ASME, Ser. E. J. Appl. Mech. 37 (1970) 901-905.
18. G. Devi and R. Devanathan, Peristaltic motion of a micropolar fluid, Proc. Indian Acad. Sci. A 81 (1975) 149-163.
19. D. A. Drew, Stability of a Stokes layer of a dusty gas, Phys. Fluids 22 (1979) 2081-2084.
20. Y. C. Fung and C. S. Yih, Peristaltic transport, Trans ASME, Ser. E. J. Appl. Mech. 35 (1968) 669-675.
21. D. J. Griffiths, Flow of urine through the ureter: A collapsible, muscular tube undergoing peristalsis, J. Biomech. Engg. III (1989) 206-211.
22. S. K. Guha, H. Kaur and A. M. Ahmed, Mechanism of spermatic flow in the vas deferens, Med. Biol. Engg. 13 (1975) 518.
23. B. B. Gupta and V. Seshadri, Peristaltic transport in non-uniform tubes, J. Biomechanics 9 (1982) 105-109.
24. A. C. Guyton, Textbook of Medical Physiology (Saunders, Philadelphia, 1971).
25. C. D. Han and B. Barnett, Measurements of the rheological properties of biological fluids, Rheology of Biological Systems, eds. Hanry L. Gabelnick and Mitchell Litt, Charles C. Thomas Publisher, III (1973).
26. T. K. Hung and T. D. Brown, Solid-particle motion in two-dimensional peristaltic flows, J. Fluid Mech. 73 (1976) 77-96.
27. K. Imaeda and F. O. Goodman, Analysis of non-linear pulsatile blood flow in arteries, J. Biomechanics 13 (1980) 1007-1022.
28. M. Y. Jaffrin, Inertia and streamline curvature on peristaltic pumping, Intl. J. Engng. Sci. 11 (1973) 681-699.
29. M. Y. Jaffrin and A. H. Shapiro, Peristaltic pumping, Annual Reviews of Fluid Mechanics 3 (1971) 13-36.
30. M. R. Kaimal, Peristaltic pumping of Newtonian fluid with particles suspended in it at low Reynolds number under long wavelength approximations, Trans. ASME, J. Appl. Mech. 45 (1978) 32-36.
31. T. W. Latham, Fluid motions in the peristaltic pump, M.S. thesis, M.I.T. (1966).
32. J. S. Lee and Y. C. Fung, Flow in non-uniform small blood vessels, Microvasc. Res. 3 (1971) 272.
33. H. S. Lew, Y. C. Fung and C. B. Lowenstein, Peristaltic carrying and mixing of chyme in small intestine, J. Biomechanics 4 (1971) 297.
34. M. Li and J. G. Brasseur, Non-steady peristaltic transport in finite-length tubes, J. Fluid Mech. 248 (1993) 129-151.
35. P. S. Lykoudis and R. Roos, The fluid mechanics of the ureter from a lubrication point of view, J. Fluid Mech. 43 (1970) 661-674.
36. O. H. Mahrenholtz, M. G. Mank and R. U. Zimmermann, The influence of wave form on peristaltic transport, Biorheology 15 (1978) 501-510.
37. M. J. Manton, Long wavelength peristaltic pumping at low Reynolds number, J. Fluid Mech. 68 (1975) 467-476.
38. F. W. Merrill, A. M. Benis, E. R. Gilliland, T. K. Sherwood and E. W. Saltzman, Pressure-flow relations of human blood in hollow fibres at low flow rates, J. Appl. Physiology 20 (1965) 954-967.
39. R. Miftakhov and D. Wingate, Numerical simulation of the peristaltic reflex of the small bowel, Biorheology 31 (1994) 309-325.
40. J. C. Misra and S. K. Ghosh, A mathematical model for the study of blood flow through a channel with permeable walls, Acta Mech. 122 (1997) 137-153.
41. J. C. Misra and S. K. Pandey, Peristaltic transport of a particle-fluid suspension in a cylindrical tube, Computers Math. Applic. 28 (1994) 131-145.
42. J. C. Misra and S. K. Pandey, Peristaltic transport in a tapered tube, Math. Comput. Modelling 22 (1995) 137-151.
43. J. C. Misra and S. K. Pandey, Peristaltic transport of a non-Newtonian fluid with a peripheral layer, Internal. J. Engng. Sci. 37 (1999) 1841-1858.
44. J. C. Misra and S. K. Pandey, A mathematical model for oesophageal swallowing of a food bolus, Math. Comput. Modelling 33 (2001) 997-1009.
45. J. C. Misra and S. K. Pandey, Peristaltic flow of a multilayered power-law fluid through a cylindrical tube, Internat. J. Engg. Sci. 39 (2001) 387-402.
46. J. C. Misra and S. K. Pandey, Peristaltic transport of blood in small vessels: Study of a mathematical model, Computers Math. Applic. 43 (2002) 1183-1193.
47. J. C. Misra and M. K. Patra, A non-Newtonian fluid model for blood flow through arteries under stenotic conditions, J. Biomech. 26 (1992) 1129-1141.
48. M. P. Nergin, W. J. Shack and T. J. Lardner, A note on peristaltic pumping, Trans. ASME J. Appl. Mech. 96 (1974) 520-521.
49. L. A. Orkins, Trauma in the Ureter: Pathogenesis and Management, F. A. Davis Co., Philadelphia, Pa. (1964).
50. P. D. Patel, B. F. Picologlou and P. S. Lykoudis, Biorheological aspects of colonic activity-Part II: Experimental investigation of the rheological behaviour of human faeces, Biorheology 10 (1973) 441-445.
51. C. Pozrikidis, A study of peristaltic flow, J. Fluid Mech. 180 (1987) 521-527.
52. A. R. Rao and S. Usha, Peristaltic transport of two immisible viscous fluids in a circular cylindrical tube, J. Fluid Mech. 298 (1995) 271-285.
53. K. K. Raju and R. Devanathan, Peristaltic motion of a non-Newtonian fluid, Rheol. Acta 11 (1972) 170-178.
54. H. J. Rath, Peristaltic flow through a lobe-shaped tube, Intl. J. Mech. Sci. 24 (1982) 359-367.
55. G. W. Scott Blair, An equation for the flow of blood, plasma and serum through glass capillaries, Nature 183 (1959) 631.
56. A. H. Shapiro, Pumping and retrograde diffusion in peristaltic waves, Proc. Workshop in Ureteral Reflux in Children (1967), pp. 109-126.
57. A. H. Shapiro, M. Y. Jaffrin and S. L. Weinberg, Peristaltic pumping with long wavelengths at low Reynolds number, J. Fluid Mech. 37 (1969) 799-825.
58. J. B. Shukla, R. S. Parihar, B. R. P. Rao and S. P. Gupta, Effects of peripheral layer viscosity on peristaltic transport of a bio-fluid. J. Fluid Mech. 97 (1980) 2225-2237.
59. J. B. Shukla and S. P. Gupta, Peristaltic transport of a power-law fluid with variable consistency, Trans. ASME J. Biomech. Engg. 104 (1982) 182-186.
60. L. M. Srivastava and V. P. Srivastava, Peristaltic transport of a two layered model of a physiological fluid, J. Biomechanics 15 (1982) 257.
61. L. M. Srivastava and V. P. Srivastava, Peristaltic transport of a physiological fluid Part I-Flow in a non-uniform geometry, Biorheology 20 (1983) 153.
62. L. M. Srivastava and V. P. Srivastava, Peristaltic transport of a physiological fluid, Part III-Applications, Biorheology 20 (1983) 179.
63. L. M. Srivastava and V. P. Srivastava, Peristaltic transport of blood: Casson Model-II, J. Biomechanics 17 (1984) 821-829.
64. L. M. Srivastava and V. P. Srivastava, Peristaltic transport of a particle-fluid suspension, Trans. ASME J. Biomech. Engg. III (1989) 157-165.
65. S. Takabatake and K. Ayukawa, Numerical study of two-dimensional peristaltic flows, J. Fluid Mech. 122 (1982) 439-465.
66. S. Takabatake, K. Ayukawa and A. Mori, Peristaltic pumping in circular cylindrical tubes: A numerical study of fluid transport and its efficiency, J. Fluid Mech. 193 (1988) 269-283.
67. C. K. W. Tarn, The drag on a cloud of spherical particles in low Reynolds number flow, J. Fluid Mech. 38 (1969) 537-546.
68. G. I. Taylor, Analysis of the swimming of microscopic organisms, Proc. Roy. Soc. London, A 209 (1951) 447.
69. P. Tong and O. Vawter, An analysis of peristaltic pumping, Trans. ASME J. Appl. Mech. 39 (1972) 857-862.
70. S. Usha and A. R. Rao, Peristaltic transport of a bio-fluid in a pipe of elliptic cross-section, J. Biomech. 28 (1995) 45-52.
71. S. R. Weinberg, Physiology of the ureter, in The Ureter, ed. H. Bergeman (Harper & Row, 1967), pp. 48-66.
72. S. L. Weinberg, E. C. Eckstein and A. H. Shapiro, An experimental study of peristaltic pumping, J. Fluid Mech. 49 (1971) 461-479.
73. F. Yin and Y. C. Fung, Peristaltic waves in a circular cylindrical tube, Trans. ASME, Ser. E. J. Applied Mech. 36 (1969) 93-112.
74. T. Zien and S. Ostrach, A long wave approximation to peristaltic motion, J. Biomech. 3 (1970) 63-75.