Flow of second order fluids in curved pipes

Journal of Non-Newtonian Fluid Mechanics

Volumn 90, Issue 1, 2000, Pages 91-116

  Jitchote, W ^a   Robertson, A M ^a  

^a University of Pittsburgh   (United States)

Author keywords

Curved pipe; Existence; Second normal stress; Second order fluid; Uniqueness

Indexed keywords

INCOMPRESSIBLE FLOW; NON NEWTONIAN FLOW; PERTURBATION TECHNIQUES; PIPE FLOW; REYNOLDS NUMBER; STEADY FLOW; VISCOELASTICITY;

CURVED PIPES; SECOND ORDER FLUID;

NON NEWTONIAN LIQUIDS;

MATHEMATICAL MODELING; PIPE BEND; PIPE FLOW;

EID: 0034175839     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(99)00070-1     Document Type: Article

References (34)

1. Sharma H.C., Prakash A. Ind. J. Pure Appl. Math. 8:1977;546-557.
2. P.J. Bowen, A Study of Spectral Flows By Spectral Methods. Ph.D. Thesis, University of Wales, 1990.
3. Bowen P.J., Davies A.R., Walters K. J. Non-Newtonian Fluid Mech. 38:1991;113-126.
4. T.J. Pedley, The Fluid Mechanics of Large Blood Vessels, Cambridge University Press, New York, 1980.
5. Efird K.D. J. Energ. Resourc. Technol. 120:1998;72-77.
6. Nerem R.M., Cornhill J.F. J. Biomech. Eng. 102:1980;181-189.
7. Perktold K., Nerem R.M., Peter R.O. J. Biomech. 24:1991;175-189.
8. Naruse T., Tanishita K. J. Biomech. Eng. 118:1996;180-186.
9. Manlapaz R.L., Churchill S.W. Chem. Eng. Commun. 9:1981;185-200.
10. K. Nandakumar, J.H. Masliyah, Advances in Transport Processes, vol. 4, Wiley, New York, 1986.
11. Dean W.R. Phil. Mag. 4:1927;208-223.
12. Dean W.R. Phil. Mag. 5:1928;673-695.
13. Eustice J. Proc. R. Soc. London Ser. A. 85:1911;119-131.
14. A.J. Ward-Smith, Internal Fluid Flow, Clarendon Press, Oxford, 1980.
15. Berger S.A., Talbot L., Yao L.-S. Ann. Rev. Fluid Mech. 15:1983;461-512.
16. B.A. Toms, in: Proc. Int. Congr. on Rheology, Holland, 1948, 1949, II. 135-II.141.
17. Barnes H.A., Walters K. Proc. R. Soc. London A. 314:1969;85-109.
18. Jones W.M., Davies O.H. J. Phs. D: Appl. Phys. 9:1976;753-770.
19. Kim Y., Yi M.K. C Kim. Korean J. Chem. Eng. 13:1996;40-45.
20. White C.M. Proc. R. Soc. London A. 123:1971;645-663.
21. Taylor G.I. Proc. R. Soc. London A. 124:1929;243-249.
22. Sreenivasan K.R., Strykowski P. Exp. Fluids. 1:1983;31-36.
23. Webster D.R., Humphrey J.A.C. J. Fluids Eng. Transactions ASME. 115:1993;436-443.
24. Thomas R.H., Walters K. J. Fluid Mech. 16:1963;228-242.
25. Robertson A.M., Muller S.J. Int. J. Non-Linear Mech. 31:1996;1-20.
26. H.A. Barnes, J.F. Hutton, K. Walters, An Introduction to Rheology, Elsevier, 1989.
27. G.N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1952.
28. S.L. Sobolev, Applications of Functional Analysis to Mathematical Physics, vol. 7, Am. Math. Soc. Transl. of Monographs, 1963.
29. E. Zeidler, Applied FunctionalAnalysis: Applications to Mathematical Physics, vol. AMS 108, Springer, New York, 1997.
30. S. Chanchawichak, A. M. Robertson, in preparation.
31. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vol. I, Wiley, 1987.
32. Keentok M., Georgescu A.G., Aherwood A.A., Tanner R.I. J. Non-Newtonian Fluid Mech. 6:1980;303-324.
33. Ramachandran S., Gao H., Christiansen R.B. Macromolecules. 18:1985;695-699.
34. I. Stakgold, Green's Functions and Boundary Value Problems, Wiley, 1998.