Global linear stability analysis of viscoelastic flow through a periodic channel

Journal of Non-Newtonian Fluid Mechanics

Volumn 122, Issue 1-3, 2004, Pages 55-67

  Sadanandan, B ^a   Sureshkumar, R ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

Chebyshev Fourier collocation; Oldroyd B; Periodically constricted channel

Indexed keywords

CONFINED FLOW; CREEP; EIGENVALUES AND EIGENFUNCTIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; STRESS ANALYSIS; VELOCITY MEASUREMENT;

FOURIER EXPANSIONS; LINEAR STABILITY ANALYSIS; VELOCITY GRADIENTS; VISCOELASTIC CREEPING;

VISCOELASTICITY;

CHANNEL FLOW; LINEAR BEARING; MATHEMATICAL ANALYSIS; STABILITY; VISCOELASTIC FLOW; VISCOELASTICITY;

EID: 7744243292     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.01.020     Document Type: Article

References (18)

1. R. Sureshkumar Local linear stability characteristics of viscoelastic periodic channel flow J. Non-Newtonian Fluid Mech. 97 2001 125-148
2. R. Sureshkumar B. Sadanandan Numerical eigenspectrum of non-viscometric viscoelastic flows: Results for the periodic channel flow J. Non-Newtonian Fluid Mech. 108 2002 143-161
3. K. Arora R. Sureshkumar B. Khomami Experimental investigation of purely elastic instabilities in periodic flows J. Non-Newtonian Fluid Mech. 108 2002 209-226
4. C. Canuto M.Y. Hussaini A. Quarteroni T.A. Zang Spectral Methods in Fluid Dynamics 1988 Springer-Verlag New York
5. R. Sureshkumar M.D. Smith R.C. Armstrong R.A. Brown Linear stability and dynamics of viscoelastic flows using time-dependent numerical simulations J. Non-Newtonian Fluid Mech. 82 1999 57-104
6. M.D. Smith R.C. Armstrong R.A. Brown R. Sureshkumar Finite element analysis of two-dimensional viscoelastic flows against three-dimensional perturbations J. Non-Newtonian Fluid Mech. 93 2000 203-244
7. B.D. Duncan K.N. Ghia First AFOSR International Conference on DNS/LES Louisiana 1997
8. K. Arora R. Sureshkumar Efficient computation of the eigenspectrum of viscoelastic flows using submatrix based transformation of linearized equations (SubTLE) J. Non-Newtonian Fluid Mech. 104 2002 75-85
9. R. Sureshkumar A.N. Beris Linear stability of the viscoelastic Poiseuille flow using an Arnoldi orthogonalization algorithm J. Non-Newtonian Fluid Mech. 56 1995 151-182
10. 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
11. M. Renardy Location of the continuous spectrum in complex flows of the UCM fluid J. Non-Newtonian Fluid Mech. 94 2000 75-85
12. R. Sureshkumar Numerical observations on the continuous spectrum of the linearized viscoelastic operator in shear-dominated complex flows J. Non-Newtonian Fluid Mech. 94 2000 205-211
13. S. Pilitsis A.N. Beris Calculations of steady-state viscoelastic flow in an undulating tube J. Non-Newtonian Fluid Mech. 31 1989 231-287
14. V.A. Gorodtsov A.I. Leonov On a linear instability of a plane parallel Couette flow of viscoelastic fluid J. Appl. Math. Mech. 31 1967 310-319
15. R.A. Keiller Numerical stability of time-dependent flows J. Non-Newtonian Fluid Mech. 43 1992 229-246
16. 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
17. Y.L. Joo E.S.G. Shaqfeh A purely elastic instability in Dean and Taylor-Dean flow Phys. Fluids A 4 3 1992 524-543
18. R. Sureshkumar B. Sadanandan Viscoelastic effects on the stability of wall-bounded shear flows Phys. Fluids 14 2002 41-48