Analytical solution for the Hagen-Poiseuille flow of a hard sphere gas with nonlinear shear viscosity

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 6, 2007, Pages

  Bertola, V ^a   Cafaro, E ^b  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

Rheology of biomolecular and active materials

Indexed keywords

EID: 34548685681     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/06/P06017     Document Type: Article

References (21)

1. Tritton D J 1988 Physical Fluid Dynamics 2nd edn (Oxford: Oxford University Press)
2. Emmanuel G 1986 Gas dynamics: Theory and Applications (AIAA Education Series) (New York: AIAA)
3. Astarita G and Marrucci G 1974 Principles of non-Newtonian Fluid Mechanics (New York: McGraw-Hill)
4. Naitoh T and Ono S 1979 The shear viscosity of a hard-sphere fluid via nonequilibrium molecular dynamics J. Chem. Phys. 70 4515
5. Zwanzig R 1979 Nonlinear shear viscosity of a gas J. Chem. Phys. 71 4416
6. Hanley H J M, Rainwater J C and Hess S 1987 Shear-induced angular-dependence of the liquid pair correlation-function Phys. Rev. A 36 1795
7. Morris J F and Katyal B 2002 Microstructure from simulated Brownian suspension flows at large shear rate Phys. Fluids 14 1920
8. Bertola V and Cafaro E 2003 Analogy between pipe flow of non-Newtonian fluids and 2D compressible flow J. Non-Newtonian Fluid Mech. 109 1
9. Joseph D D 1990 Fluid Dynamics of Viscoelastic Liquids (New York: Springer)
10. Mooney M 1931 Explicit formulas for slip and fluidity J. Rheol. 2 210
11. Barnes H A 1995 A review of the slip (wall depletion) of polymer solutions, emulsions and particle suspensions in viscometers: its cause, character, and cure J. Non-Newtonian Fluid Mech. 56 221
12. Kok P J A H, Kazarian S G, Briscoe B J and Lawrence C J 2004 Effects of particle size on near-wall depletion in mono-dispersed colloidal suspensions J. Colloid Interface Sci. 280 511
13. de Gennes P-G 1979 Viscometric flows of tangled polymers C. R. Acad. Sci. B 288 219
14. de Gennes P G 2002 On fluid/wall slippage Langmuir 18 3413
15. Bertola V, Bertrand F, Tabuteau H, Bonn D and Coussot P 2003 Wall slip and yielding in pasty materials J. Rheol. 47 1211
16. Olmsted P D 1999 Dynamics and flow-induced phase separation in polymeric fluids Curr. Opin. Colloid Interface Sci. 4 95
17. Vermant J and Solomon M J 2005 Flow-induced structure in colloidal suspensions J. Phys.: Condens. Matter 17 R187
18. Noirez L 2005 Origin of shear-induced phase transitions in melts of liquid-crystal polymers Phys. Rev. E 72 051701
19. Fischer E and Callaghan P T 2001 Shear banding and the isotropic-to-nematic transition in wormlike micelles Phys. Rev. E 64 011501
20. Cates M E and Fielding S M 2006 Rheology of giant micelles Adv. Phys. 55 799
21. Celata G P 2004 Heat Transfer and Fluid Flow in Microchannels (Redding, CT: Begell House)