Peristaltic flow of a Johnson-Segalman fluid through a deformable tube

Theoretical and Computational Fluid Dynamics

Volumn 21, Issue 5, 2007, Pages 369-380

  Wang, Yongqi ^a,b   Hayat, Tasawar ^c   Hutter, Kolumban ^d  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF NATURAL RESOURCES AND LIFE SCIENCES   (Austria)

^c QUAID I AZAM UNIVERSITY   (Pakistan)

^d ETH ZURICH   (Switzerland)

Author keywords

Johnson Segalman fluid; Numerical method; Peristaltic flow; Perturbation solution; Transformation method

Indexed keywords

JOHNSON SEGALMAN FLUID; PERISTALTIC FLOW; PERISTALTIC MOTION; TRANSFORMATION METHOD;

FORMABILITY; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PRESSURE GRADIENT; PRESSURE REGULATION; WAVELENGTH;

FLOW OF FLUIDS;

FLOW OF FLUIDS; FORMABILITY; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PRESSURE GRADIENT; PRESSURE REGULATION; WAVELENGTH;

COMPUTATIONAL FLUID DYNAMICS; FLOW MODELING; FLUID FLOW; NUMERICAL METHOD; NUMERICAL MODEL; PERTURBATION; PHYSICAL PROPERTY;

EID: 34547676178     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-007-0054-1     Document Type: Article

References (32)

1. Latham, T.W.: Fluid motion in a peristaltic pump. MS Thesis, M III Cambridge, Mass (1966)
2. Jafrin M.Y. and Shapiro A.H. (1971). Peristaltic pumping. Ann. Rev. Fluid Mech. 3: 13-35
3. Burns J.C. and Parkes J. (1967). Peristaltic motion. J. Fluid Mech. 29: 731-743
4. Barton C. and Raymor S. (1968). Peristaltic flows in tubes. Bull. Math. Bio. Phy. 30: 663-680
5. Chow T.S. (1970). Peristaltic transport in a circular cylindrical pipe. J. Appl. Mech. 37: 901-906
6. Shapiro A.H., Jaffrin M.Y. and Weinberg S.L. (1969). Peristaltic pumping with long wavelength at low Roynolds number. J. Fluid Mech. 37: 799-825
7. Jaffrin M.Y. (1973). Inertia and streamline curvature effects on peristaltic pumping. Int. J. Eng. Sci. 11: 681-699
8. Liron N. (1976). On peristaltic flow and its efficiency. Bull. Math. Biol. 38: 573-596
9. Takabatake S. and Ayukawa K. (1982). Numerical study of two-dimensional peristaltic flows. J. Fluid Mech. 122: 439-465
10. Radhakrishnamacharya G. (1982). Long wavelength approximation to peristaltic motion of power law fluid. Rheol. Acta 21: 30-35
11. Raju K.K. and Devanathan R. (1972). Peristaltic motion of a non-Newtonian fluid. Rheol. Acta 11: 170-178
12. Raju K.K. and Devanathan R. (1974). Peristaltic motion of a non-Newtonian fluid, Part II. Viscoelastic fluid. Rheol. Acta 13: 944-948
13. Srivastava L.M. (1986). Peristaltic transport of a couple stress fluid. Rheol. Acta 25: 638-641
14. Srivastava L.M. and Srivastava V.P. (1988). Peristaltic transport of a power law fluid: application to the ductus efferentes of the reproductive tracts. Rheol. Acta 27: 428-433
15. Siddiqui A.M., Provost A. and Schwarz W.H. (1991). Peristaltic pumping of a second order fluid in a planar channel. Rheol. Acta 30: 249-262
16. Siddiqui A.M. and Schwarz W.H. (1993). Peristaltic pumping of a third order fluid in a planar channal. Rheol. Acta 32: 47-56
17. Siddiqui A.M. and Schwarz W.H. (1994). Peristaltic flow of a second order fluid in tubes. J. Non-Newton. Fluid Mech. 53: 257-284
18. Böhme G. and Friedrich R. (1983). Peristaltic flow of viscoelastic liquids. J. Fluid Mech. 128: 109-122
19. Misra J.C. and Pandey S.K. (1999). Peristaltic transport of a non-Newtonian fluid with a peripheral layer. Int. J. Eng. Sci. 37: 1841-1858
20. Misra J.C. and Pandey S.K. (2001). Peristaltic flow of a multilayered power-law fluid through a cylindrical tube. Int. J. Eng. Sci. 39: 387-402
21. Hayat T., Wang Y., Siddiqui A.M., Hutter K. and Asghar S. (2002). Peristaltic transport of a third order fluid in a circular cylindrical tube. Math. Models Methods Appl. Sci. 12(12): 1691-1706
22. Hayat T., Wang Y., Siddiqui A.M. and Hutter K. (2003). Peristaltic motion of a Johnson-Segalman fluid in a planar channel. Math. Probl. Eng. 2003(1): 1-23
23. Kolkka R.W., Malkus D.S., Hansen M.G., Ierly G.R. and Worthing R.A. (1988). Spurt phenomenon of the Johnson-Segalman fluid and related models. J. Non-Newton. Fluid Mech. 29: 303-335
24. McLeish T.C.B. and Ball R.C. (1986). A molecular approach to the spurt effect in polymer melt flow. J. Polym. Sci. (B) 24: 1735-1745
25. Malkus D.S., Nohel J.A. and Plohr B.J. (1990). Dynamics of shear flow of a non-Newtonian fluid. J. Comput. Phys. 87: 464-487
26. Malkus D.S., Nohel J.A. and Plohr B.J. (1991). Analysis of new phenomenon in shear flow of non-Newtonian fluids. SIAM J. Appl. Math. 51: 899-929
27. Migler K.B., Hervert H. and Leger L. (1990). Slip transition of a polymer melt under shear stress. Phys. Rev. Lett. 70: 287-290
28. Migler K.B., Massey G., Hervert H. and Leger L. (1994). The slip transition at the polymer-solid interface. J. Phys. Condens. Matter A 6: 301-304
29. Ramamurthy A.V. (1986). Wall slip in viscous fluids and the influence of material of construction. J. Rheol. 30: 337-357
30. Kraynik M. and Schowalter W.R. (1981). Slip at the wall and extrudate roughness with aqueous solutions of polyvinyl alcohal and sodium borate. J. Rheol. 25: 95-114
31. Lim F.J. and Schowalter W.R. (1989). Wall slip of narrow molecular weight distribution polybutadienes. J. Rheol. A. 33: 1359-1382
32. Segalman D. and Johnson M.W. Jr. (1977). A model for viscoelastic fluid behaviour which allows non-affine deformation. J. Non-Newton. Fluid Mech. 2: 255-270