Instability of high-frequency modes in viscoelastic plane Couette flow past a deformable wall at low and finite Reynolds number

Journal of Non-Newtonian Fluid Mechanics

Volumn 125, Issue 2-3, 2005, Pages 121-141

  Kumar, A Sameer ^a   Shankar, V ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Deformable solids; Interfacial instability; Linear stability analysis; Viscoelastic fluids

Indexed keywords

DEFORMATION; ELASTIC MODULI; ELASTICITY; NEWTONIAN LIQUIDS; PERTURBATION TECHNIQUES; RELAXATION PROCESSES; REYNOLDS NUMBER; SOLVENTS; VISCOSITY;

COUETTE FLOW; DOWNSTREAM WAVES; TRAVELING WAVES; UPPER CONVECTED MAXWELL (UCM) FLUID;

VISCOELASTICITY;

COUETTE FLOW; FLUID MECHANICS; NON-NEWTONIAN FLUID; REYNOLDS NUMBER; VISCOELASTIC FLOW;

EID: 14344260154     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.09.010     Document Type: Article

References (20)

1. M.A. Unger H.-P. Chou T. Thorsen A. Scherer S.R. Quake Monolithic microfabricated valves and pumps by multilayer soft lithography Science 288 2000 113-116
2. A. Groisman S.R. Quake A microfluidic rectifier: Anisotripic flow resistance at low Reynolds number Phys. Rev. Lett. 92 2004 094501
3. V. Kumaran G.H. Fredrickson P. Pincus Flow induced instability of the interface between a fluid and a gel at low Reynolds number J. Phys. II France 4 1994 893-904
4. V. Kumaran Stability of the viscous flow of a fluid through a flexible tube J. Fluid Mech. 294 1995 259-281
5. V. Kumaran Stability of fluid flow through a flexible tube at intermediate Reynolds number J. Fluid Mech. 357 1998 123-140
6. V. Kumaran Stability of wall modes in a flexible tube J. Fluid Mech. 362 1998 1-15
7. V. Shankar V. Kumaran Stability of non-parabolic flow in a flexible tube J. Fluid Mech. 395 1999 211-236
8. V. Shankar V. Kumaran Stability of fluid flow in a flexible tube to non-axisymmetric disturbances J. Fluid Mech. 408 2000 291-314
9. V. Shankar V. Kumaran Stability of wall modes in fluid flow past a flexible surface Phys. Fluids 14 2002 2324-2338
10. V. Shankar S. Kumar Instability of viscoelastic plane Couette flow past a deformable wall J. Non-Newtonian Fluid Mech. 116 2004 371-393
11. V.A. Gorodtsov A.I. Leonov On a linear instability of plane parallel Couette flow of viscoelastic fluid J. Appl. Math. Mech. 31 1967 310-319
12. H.J. Wilson M. Renardy Y. Renardy Structure of the spectrum in zero Reynolds number shear flow of the UCM and Oldroyd-B liquids J. Non-Newtonian Fluid Mech. 80 1999 251-268
13. L. Landau E. Lifshitz Theory of Elasticity 1989 Pergamon Press New York
14. M. Renardy Y. Renardy Linear stability of plane Couette flow of an upper convected Maxwell fluid J. Non-Newtonian Fluid Mech. 22 1986 23-33
15. M. Renardy A rigorous stability proof for plane Couette flow of an upper convected Maxwell fluid at zero Reynolds number Eur. J. Mech. B: Fluids 11 1992 511-516
16. R. Sureshkumar A.N. Beris Linear stability analysis of viscoelastic Poiseuille flow using an Arnoldi based orthogonalization algorithm J. Non-Newtonian Fluid Mech. 56 1995 151-182
17. T.C. Ho M.M. Denn Stability of plane Poiseuille flow of a highly elastic liquid J. Non-Newtonian Fluid Mech. 3 1977 179-195
18. R.G. Larson Constitutive Equations for Polymer Melts and Solutions 1988 Butterworths Boston
19. V. Gkanis S. Kumar Instability of creeping Couette flow past a neo-Hookean solid Phys. Fluids. 15 2003 2864-2871
20. L. Srivatsan V. Kumaran Stability of the interface between a fluid and gel J. Phys. II. France 7 1997 947-963