On the rheology of a dilute suspension of rigid spheres in a weakly viscoelastic matrix fluid

Journal of Non-Newtonian Fluid Mechanics

Volumn 162, Issue 1-3, 2009, Pages 88-92

  Housiadas, Kostas D ^a   Tanner, Roger I ^b  

^a UNIVERSITY OF THE AEGEAN   (Greece)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Dilute suspensions; Rheology; Rigid spheres; Second order fluid

Indexed keywords

ANALYTICAL SOLUTIONS; BULK STRESS; COMPLETE SOLUTIONS; DEBORAH NUMBERS; DILUTE SUSPENSIONS; ELONGATIONAL FLOW; LINEAR VELOCITY; MATRIX FLUID; NON-BROWNIAN; NORMAL STRESS DIFFERENCE; RIGID SPHERE; RIGID SPHERES; SECOND-ORDER FLUID; SIMPLE SHEAR; SOLID VOLUME FRACTION; VELOCITY FIELD; VISCOELASTIC MATRIX;

ELASTICITY; FLUIDS; MATRIX ALGEBRA; PLASTICITY; RHEOLOGY; SPHERES; VISCOSITY;

SUSPENSIONS (FLUIDS);

EID: 69249222558     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2009.05.006     Document Type: Article

References (18)

1. J. Peery, Fluid Mechanics of rigid and deformable particles in shear flows at low Reynolds numbers. Ph.D. Thesis, Princeton University, 1966.
2. Kaloni P.N., and Stansta V. Steady-shear rheological behavior of the suspension of spherical particles in a second order fluid. Polym. Eng. Sci. 23 (1983) 465
3. Sun K., and Jayaraman K. Bulk rheology of dilute suspensions in viscoelastic liquids. Rheol. Acta 23 (1984) 84
4. Patankar N.A., and Hu H.H. Rheology of a suspension of particles, in viscoelastic fluids. J. Non-Newton. Fluid Mech. 96 (2001) 427
5. Greco F., D'Avino G., and Maffetone P.L. Rheology of a dilute suspension of rigid spheres in a second order fluid. J. Non-Newton. Fluid Mech. 147 (2007) 1
6. Koch D.L., and Subramanian G. The stress in a dilute suspension of spheres suspended in a second order fluid subject to a linear velocity profile. J. Non-Newton. Fluid Mech. 138 (2006) 87
7. Koch D.L., and Subramanian G. Corrigendum to "the stress in a dilute suspension of spheres suspended in a second order fluid subject to a linear velocity profile". J. Non-Newton. Fluid Mech. 153 (2008) 202
8. Phillips R.J., and Talini L. Chaining of weakly interacting particles suspended in viscoelastic fluids. J. Non-Newton. Fluid Mech. 147 (2007) 175
9. Greco F., D'Avino G., and Maffetone P.L. Stress tensor of a dilute suspension of spheres in a viscoelastic liquid. Phys. Rev. Lett. 95 (2005) Art. No. 246001
10. Greco F., D'Avino G., and Maffetone P.L. Erratum. Phys. Rev. Lett. 98 10 (2007) Art. No. 109904
11. Subramanian G., and Koch D.L. Heat transfer from a neutrally buoyant sphere in second-order fluid. J. Non-Newton. Fluid Mech. 144 (2007) 49
12. Greco F. Second-order theory for the deformation of a Newtonian drop in a stationary flow field. Phys. Fluids 14 (2002) 946
13. Landau L.D., and Lifshitz E.M. Fluid Mechanics. 2nd ed. (1987), Pergamon Press
14. Huilgol R.R., and Phan-Thien N. Fluid Mechanics of Viscoelasticity (1997), Elsevier
15. Kim S., and Karrila S.J. Microhydrodynamics (2005), Dover, New York
16. Batchelor G.K. The stress system in a suspension of force-free particles. J. Fluid Mech. 41 (1970) 545
17. Leal L.G. Advanced Transport Phenomena (2007), Cambridge University Press
18. Phan-Thien N. Understanding Viscoelasticity (2002), Springer