Accounting for temperature-dependent properties in viscoelastic duct flows

International Journal of Heat and Mass Transfer

Volumn 47, Issue 6-7, 2004, Pages 1141-1158

  Nobrega J M ^a   Pinho, F T ^b   Oliveira, P J ^c   Carneiro, O S ^a  

^a UNIVERSITY OF MINHO   (Portugal)

^b UNIVERSITY OF PORTO   (Portugal)

^c UNIVERSITY OF BEIRA INTERIOR   (Portugal)

Author keywords

PTT model; Temperature dependent properties; Variable viscosity; Viscoelastic flows

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; ENERGY DISSIPATION; HYDRODYNAMICS; NUMERICAL ANALYSIS; SPECIFIC HEAT; THERMAL CONDUCTIVITY; VISCOELASTICITY; VISCOSITY;

VISCOELASTIC FLUIDS;

FLOW OF FLUIDS;

CHANNEL FLOW; MATHEMATICAL MODELING; SHEAR THINNING; VISCOELASTIC FLOW; VISCOELASTIC FLUID;

EID: 0346056659     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2003.10.004     Document Type: Article

References (33)

1. Agassant J.-F. Avenas P. Sergent J.P. Carreau P.J. Polymer Processing: Principles and Modelling 1991 Hansers Publishing New York
2. Bird R.B. Armstrong R.C. Hassager O. Dynamics of polymeric liquids Fluid Mechanics, 2nd ed. vol. 1 1987 John Wiley and Sons New York
3. Chou F.C. Tung C.W. The mechanism of heat transfer enhancement for mineral oil in 2:1 rectangular ducts Int. J. Heat Mass Transfer 38 1995 2863-2871
4. Kays W.M. Crawford M.E. Convected Heat and Mass Transfer 2nd ed. 1980 McGraw-Hill New York
5. Eckert E.R.G. Drake R.M.Jr. Analysis of Heat and Mass Transfer 1972 McGraw-Hill New York
6. Forrest G. Wilkinson W.L. Laminar heat transfer to power law fluids in tubes with constant wall temperature Trans. Inst. Chem. Eng. 51 1973 331-338
7. Skelland A.H.P. Non-Newtonian Flow and Heat Transfer 1967 John Wiley and Sons New York
8. Kenny J.M. Castro J.M. Capiati N.J. Analysis of the wall slip effect in thermoplastic polymer extrusion Lat. Am. J. Chem. Eng. Appl. Chem. 15 1985 59-75
9. Shin S. Cho Y.I. Laminar heat transfer in a rectangular duct with a non-Newtonian fluid with temperature-dependent viscosity Int. J. Heat Mass Transfer 37 1994 19-30
10. Davies A.R. Li X.K. Numerical modelling of pressure and temperature effects in viscoelastic flow between eccentrically rotating cylinders J. Non-Newton Fluid Mech. 54 1994 331-350
11. Shin S. Ahn H.-H. Cho Y.I. Sohn C.-H. Heat transfer behavior of a temperature-dependent non-Newtonian fluid with Reiner-Rivlin model in a 2:1 rectangular duct Int. J. Heat Mass Transfer 42 1999 2935-2942
12. Wachs A. Clermont J.-R. Non-isothermal viscoelastic flow computations in an axisymmetric contraction at high Weissenberg numbers by a finite volume method J. Non-Newton Fluid Mech. 95 2000 147-184
13. Marduel X. Kunisch K. Suboptimal control of transient non-isothermal viscoelastic fluid flows Phys. Fluids 13 2001 2478-2491
14. Phan-Thien N. Tanner R.I. A new constitutive equation derived from network theory J. Non-Newton Fluid Mech. 2 1977 353-365
15. Oliveira P.J. Pinho F.T. Pinto G.A. Numerical simulation of non-linear elastic flows with a general collocated finite-volume method J. Non-Newton Fluid Mech. 79 1998 1-43
16. Pinho F.T. Oliveira P.J. Analysis of forced convection in pipes and channels with the simplified Phan-Thien-Tanner Int. J. Heat Mass Transfer 43 2000 2273-2287
17. Coelho P.M. Pinho F.T. Oliveira P.J. Fully-developed forced convection of the Phan-Thien-Tanner fluid in ducts with a constant wall temperature Int. J. Heat Mass Transfer 45 2001 1413-1423
18. Oliveira P.J. Pinho F.T. Pressure drop coefficient of laminar Newtonian flow in axisymmetric sudden expansions Int. J. Heat Fluid Flow 18 1997 518-529
19. Escudier M.P. Gouldson I. Oliveira P.J. Pinho F.T. Effects of inner cylinder rotation on laminar flow of a Newtonian fluid through an eccentric annulus Int. J. Heat Fluid Flow 21 2000 92-103
20. Alves M.A. Pinho F.T. Oliveira P.J. Effect of a high-resolution differencing scheme on finite-volume predictions of viscoelastic flows J. Non-Newton Fluid Mech. 93 2000 287-314
21. Alves M.A. Pinho F.T. Oliveira P.J. The flow of viscoelastic fluids past a cylinder: finite volume high resolution methods J. Non-Newton Fluid Mech. 97 2001 205-230
22. Phan-Thien N. A nonlinear network viscoelastic model J. Rheol. 22 1978 259-283
23. Tanner R.I. Huilgol R.R. Rheol. Acta 14 1975 959-962
24. Tanner R.I. Engineering Rheology 1st ed. 1985 Clarendon Press
25. Bird R.B. Stewart W.E. Lightfoot E.N. Transport Phenomena 2nd ed. 2002
26. Sieder E.N. Tate C.E. Heat transfer and pressure drop of liquids in tubes Ind. Eng. Chem. 28 1936 1429
27. Shah R.K. London A.L. Laminar Flow Forced Convection in Ducts 1978 Academic Press New York
28. Holman J.P. Heat Transfer 5th ed. 1981 McGraw-Hill
29. Cho Y.I. Hartnett J.P. Non-Newtonian fluids Rohsenow W.M. Hartnett J.P. Ganic E.N. Handbook of Heat Transfer Applications 2nd ed. 1985
30. Coelho P.M. Pinho F.T. Oliveira P.J. Thermal entry flow for a viscoelastic fluid: the Graetz problem for the PTT model Int. J. Heat Mass Transfer 46 20 2003 3865-3880
31. J.W. Ou, K.C. Cheng, Viscous dissipation effects on thermal entrance heat transfer in laminar and turbulent pipe flows with uniform wall temperature, ASME paper no. 74-HT-50, presented at the AIAA/ASME 1974 Thermophysics and Heat Transfer Conference, Boston, Massachusetts, US, 1974
32. Mark J.E. Physical Properties of Polymers Handbook 1996 American Institute of Physics New York
33. Oliveira P.J. Pinho F.T. Analytical solution for fully developed channel and pipe flow of Phan-Thien-Tanner fluids J. Fluid Mech. 387 1999 271-280