Fully developed turbulent flow of non-Newtonian liquids through a square duct

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 457, Issue 2008, 2001, Pages 911-936

  Escudier, M P ^a   Smith, S ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Shear thinning; Square duct; Turbulent; Viscoelastic

Indexed keywords

EID: 57249100446     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0698     Document Type: Article

References (34)

1. Barnes, H. A., Hutton, J. F. & Walters, K. 1989 An introduction to rheology.
2. Elsevier. Cable, P. J. & Boger, D. V. 1979 A comprehensive experimental investigation of tubular entry flow of viscoelastic fluids. AIChE J. 25, 152-159.
3. Cho, Y. I. & Hartnett, J. P. 1982 Non-Newtonian fluids in circular pipe flow. Adv. Heat Transfer 15, 59-141.
4. Clauser, F. H. 1954 Turbulent boundary layers in adverse pressure gradients. J. Aero. Sci. 21, 91-108.
5. Demuren, A. O. & Rodi, W. 1984 Calculation of turbulence-driven secondary motion in non-circular ducts. J. Fluid Mech. 140, 189-222.
6. Dodge, D. W. & Metzner, A. B. 1959 Turbulent flow of non-Newtonian fluids. AIChE J. 5, 189-203.
7. Escudier, M. P. & Presti, F. 1996 Pipe flow of a thixotropic liquid. J. Non-Newt. Fluid Mech. 62, 291-306.
8. Escudier, M. P., Presti, F. & Smith, S. 1999 Drag reduction in the turbulent pipe flow of polymers. J. Non-Newt. Fluid Mech. 81, 197-213.
9. Gampert, B. & Rensch, A. 1996 Polymer concentration and near-wall turbulence structure of channel flow of polymer solutions. In Proc. ASME Fluids Engineering Division Summer Meeting, 7-11 July, San Diego, CA, vol. 2 FED (ed. H. Coleman et al.), vol. 237, pp. 129-136. New York: ASME.
10. Ghajar, A. J. & Azar, M. Y. 1988 Empirical correlations for friction factor in drag-reducting turbulent pipe flows. Int. Commun. Heat Mass Transfer 15, 705-718.
11. Hartnett, J. P. & Kostic, M. 1989 Heat transfer to Newtonian and non-Newtonian fluids in rectangular ducts. Adv. Heat Transfer 19, 247-356.
12. Hartnett, J. P. & Kostic, M. 1990 Turbulent friction factor correlations for power-law fluids in circular and non-circular channels. Int. Commun. Heat Mass Transfer 17, 59-65.
13. Hartnett, J. P. & Rao, B. K. 1987 Heat transfer and pressure drop for purely viscous non-Newtonian fluids in turbulent flow through rectangular passages. Wärme Stoffübertrag 21, 261-267.
14. Hartnett, J. P., Kwack, E. Y. & Rao, B. K. 1986 Hydrodynamic behaviour of non-Newtonian fluids in a square duct. J. Rheol. 30, S45-S59.
15. Kostic, M. 1994 On turbulent drag and heat transfer reduction phenomena and laminar heat transfer enhancement in non-circular duct flow of certain non-Newtonian fluids. Int. J. Heat Mass Transfer 37, 133-147.
16. Kostic, M. & Hartnett, J. P. 1985 Heat transfer performance of aqueous polyacrylamide solutions in turbulent flow through a rectangular channel. Int. Commun. Heat Mass Transfer 12, 483-490.
17. Kostic, M. & Hartnett, J. P. 1987 Pressure drop and heat transfer in viscoelastic duct flow -a new look. In Fundamentals of convection in non-Newtonian fluids (ed. J. L. S. Chen, T. M. Ehmann & G. P. Petersen), pp. 1-8. New York: ASME.
18. Kozicki, W. & Tiu, C. 1971 Improved parametric characterization of flow geometries. Can. J. Chem. Engng 49, 562-569.
19. Kozicki, W., Chou, C. H. & Tiu, C. 1966 Non-Newtonian flow in ducts of arbitrary cross-sectional shape. Chem. Engng Sci. 21, 665-679.
20. Kwack, E. Y. & Hartnett, J. P. 1985 Empirical correlations of turbulent friction factors and heat transfer coefficients of aqueous polyacrylamide solutions. In Proc. Int. Symp. Heat Transfer, Beijing, pp. 210-217.
21. Logan, S. E. 1972 Laser velocity measurements of Reynolds stress and turbulence in dilute polymer solutions. AIAA J. 10, 962-964.
22. Melling, A. & Whitelaw, J. H. 1976 Turbulent flow in a rectangular duct. J. Fluid Mech. 78, 289-315.
23. Myong, H. K. 1991 Numerical investigation of fully developed turbulent fluid flow and heat transfer in a square duct. Int. J. Heat Fluid Flow 12, 344-352.
24. Nguyen, H. & Boger, D. V. 1979 The kinematics and stability of die entry flows. J. Non-Newt. Fluid Mech. 5, 353-368.
25. Nikuradse, J. 1930 Untersuchungen über turbulente Strömungen in nicht kreisförmigen Rohren. Ing.-Arch. 1, 306-332.
26. Park, J. T., Mannheimer, R. J., Grimley, T. A. & Morrow, T. B. 1989 Pipe flow measurements of a transparent non-Newtonian slurry. J. Fluids Engng 111, 331-336.
27. Prandtl, L. 1926 Ueber die ausgebildete Turbulenz. In Proc. 2nd Intl Congr. Appl. Mech., Zurich, pp. 62-74.
28. Presti, F. 2000 Investigation of transitional and turbulent pipe flows of non-Newtonian fluids. PhD thesis, University of Liverpool.
29. Rudd, M. J. 1972 Velocity measurements made with a laser Dopplermeter on the turbulent pipe flow of a dilute polymer solution. J. Fluid Mech. 51, 673-685.
30. Tung, T. T., Ng, K. S. & Hartnett, J. P. 1978 Pipe friction factors for concentrated aqueous solutions of polyacrylamide. Lett. Heat Mass Transfer 5, 59-69.
31. Virk, P. S., Mickley, H. S. & Smith, K. A. 1970 The ultimate asymptote and mean-flow structure in Toms' phenomenon. Trans. ASME J. Appl. Mech. 37, 488-493.
32. Wang, F. M., Chew, Y. T., Khoo, B. C. & Yeo, K. S. 1994 Computation of turbulent flow in a square duct: aspects of the secondary flow and its origin. Comput. Fluids 23, 157-176.
33. Warholic, M. D., Massah, H. & Hanratty, T. J. 1999 Influence of drag-reducing polymers on turbulence: effects of Reynolds number, concentration and mixing Expts Fluids 27, 461-472.
34. Wheeler, J. A. & Wissler, E. H. 1966 Steady flow of non-Newtonian fluids in a square duct. Trans. Soc. Rheol 10, 353-367.