Laminar flow of non-linear viscoelastic fluids in straight tubes of arbitrary contour

International Journal of Heat and Mass Transfer

Volumn 54, Issue 9-10, 2011, Pages 2188-2202

  Siginer, Dennis A ^a   Letelier, Mario F ^b  

^a KHALIFA UNIVERSITY   (United Arab Emirates)

^b UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

Laminar; Non circular; Steady; Tube; Viscoelastic

Indexed keywords

LAMINAR; NON-CIRCULAR; STEADY; TUBE; VISCOELASTIC;

BOUNDARY LAYERS; CONSTITUTIVE EQUATIONS; ELASTICITY; FLUIDS; LAMINAR FLOW; PACKED BEDS; PRESSURE GRADIENT; SECONDARY FLOW; TUBES (COMPONENTS); VELOCITY; VISCOELASTICITY;

SHEAR FLOW;

EID: 79952282017     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2010.11.041     Document Type: Article

References (24)

1. J.G. Oldroyd Some steady flows of the general elastico-viscous liquid Proc. Roy. Soc. Lond. A 283 1965 115 133
2. R.L. Fosdick, and J. Serrin Rectilinear steady flow of simple fluids Proc. Roy. Soc. Lond. A 332 1973 311 333
3. J.L. Ericksen Overdetermination of the speed in rectilinear motion of non-Newtonian fluids Quart. Appl. Math. 14 1956 318 321
4. A.E. Green, and R.S. Rivlin Steady flow of non-Newtonian fluids through tubes Quart. Appl. Math. 14 1956 299 308
5. W.E. Langlois, and R.S. Rivlin Slow steady-state flow of viscoelastic fluids through non-circular tubes Rend. Math. 22 1963 169 185
6. A.C. Pipkin Proceedings 4th international congress on rheology Interscience 1 1963 213
7. J.A. Wheeler, and E.H. Wissler Steady flow of non-Newtonian fluids in a square duct Trans. Soc. Rheol. 10 1966 353 367
8. H. Giesekus Sekundarstromungen in viscoelastischen Flussigkeiten bei stationarer und periodischer Bewegung Rheol. Acta 4 1965 85 101
9. V. Semjonow Sekundarstromungen hochpolymerer Schmelzen in einem Rohr von elliptischem Querschnitt Rheol. Acta 6 1967 171 173
10. A.G. Dodson, P. Townsend, and K. Walters Non-Newtonian flow in pipes of non-circular cross section Comput. Fluids 2 1974 317 338
11. P. Townsend, K. Walters, and W.M. Waterhouse Secondary flows in pipes of square cross-section and the measurement of the second normal stress difference J. Non-Newtonian Fluid Mech. 1 2 1976 107 123
12. B. Gervang, and P.S. Larsen Secondary flows in straight ducts of rectangular cross section J. Non-Newtonian Fluid Mech. 39 1991 217 237 (Pubitemid 21730836)
13. S.C. Xue, N. Phan-Thien, and R.I. Tanner Numerical study of secondary flows of viscoelastic fluid in straight pipes by an implicit finite volume method J. Non-Newtonian Fluid Mech. 59 1995 191 212
14. B. Debbaut, T. Avalosse, J. Dooley, and K. Hughes On the development of secondary motions in straight channels induced by the second normal stress difference: experiments and simulations J. Non-Newtonian Fluid Mech. 69 1997 255 271
15. B. Debbaut, and J. Dooley Secondary motions in straight and tapered channels: experiments and three dimensional finite element simulation with a multimode differential viscoelastic model J. Rheol. 43 6 1999 1525 1545 (Pubitemid 32872359)
16. M. Siline, and A.I. Leonov On flows of viscoelastic liquids in long channels and dies Int. J. Eng. Sci. 39 2001 415 437 (Pubitemid 32071286)
17. D.A. Siginer, and M.F. Letelier Pulsating flow of viscoelastic fluids in tubes of arbitrary shape. Part II: Secondary flows Int. J. Non-Linear Mech. 37 2002 395 407 (Pubitemid 32943379)
18. D.A. Siginer, and M.F. Letelier Heat transfer asymptote in laminar flow of non-linear viscoelastic fluids in straight non-circular tubes Int. J. Eng. Sci. 48 2010 1544 1562
19. M.F. Letelier, D.A. Siginer, Frictional effects in pipe flow of Phan-Thien-Tanner fluids, in: ASME International Mechanical Engineering Congress and Exposition, Orlando, Florida, November 5-15, 2000, ASME FED, vol. 252 2000, pp. 113-117.
20. M.F. Letelier, and D.A. Siginer On the fully developed tube flow of a class of non-linear viscoelastic fluids Int. J. Non-Linear Mech. 40 2005 485 493
21. P.J. Oliveira, and F.T. Pinho Analytical solution for fully developed channel and pipe flow of Phan-Thien-Tanner fluids J. Fluid Mech. 387 1999 271 280
22. M.A. Alves, F.T. Pinho, and P.J. Oliveira Theoretical study of steady duct flows of the full Phan-Thien-Tanner fluid J. Non-Newtonian Fluid Mech. 101 1-3 2001 55 76 (Pubitemid 34002251)
23. R.K. Shah, and A.L. London Laminar Flow Forced Convection in Ducts Advances in Heat Transfer Series 1978 Academic Press New York, San Francisco, London
24. J.P. Hartnett Viscoelastic fluids: a new challenge in heat transfer (1990 Max Jacob Memorial Award Lecture) J. Heat Transfer 114 1992 296 303