-
1
-
-
84985609786
-
Instabilities in polymer processing
-
C.J.S. Petrie, M.M. Denn, Instabilities in polymer processing, AIChE J. 22 (1976) 209-236.
-
(1976)
AIChE J.
, vol.22
, pp. 209-236
-
-
Petrie, C.J.S.1
Denn, M.M.2
-
2
-
-
33751371137
-
Instabilities in viscoelastic flows
-
R.G. Larson, Instabilities in viscoelastic flows, Rheol. Acta 31 (1992) 213-263.
-
(1992)
Rheol. Acta
, vol.31
, pp. 213-263
-
-
Larson, R.G.1
-
3
-
-
0344936448
-
Purely elastic instabilities in viscometric flows
-
E.S.G. Shaqfeh, Purely elastic instabilities in viscometric flows, Ann. Rev. Fluid Mech. 28 (1996) 129-185.
-
(1996)
Ann. Rev. Fluid Mech.
, vol.28
, pp. 129-185
-
-
Shaqfeh, E.S.G.1
-
4
-
-
0002807741
-
The principle of minimized iteration in the solution of matrix eigenvalue problems
-
W.E. Arnoldi, The principle of minimized iteration in the solution of matrix eigenvalue problems, Quart. Appl. Math. 9 (1951) 17-29.
-
(1951)
Quart. Appl. Math.
, vol.9
, pp. 17-29
-
-
Arnoldi, W.E.1
-
5
-
-
49149143501
-
Variations on Arnoldi's methods for computing eigenelements of large non-symmetric matrices
-
Y. Saad, Variations on Arnoldi's methods for computing eigenelements of large non-symmetric matrices, Linear Algebra Appl. 34 (1980) 269-295.
-
(1980)
Linear Algebra Appl.
, vol.34
, pp. 269-295
-
-
Saad, Y.1
-
6
-
-
0000386060
-
An Arnoldi-based iterative scheme for non-symmetric matrix pencils arising in finite element stability problems
-
R. Natarajan, An Arnoldi-based iterative scheme for non-symmetric matrix pencils arising in finite element stability problems, J. Comput. Phys. 100 (1992) 128-142.
-
(1992)
J. Comput. Phys.
, vol.100
, pp. 128-142
-
-
Natarajan, R.1
-
7
-
-
0027396797
-
The instability of the flow past spheres and discs
-
R. Natarajan, A. Acrivos, The instability of the flow past spheres and discs, J. Fluid Mech. 254 (1993) 323-344.
-
(1993)
J. Fluid Mech.
, vol.254
, pp. 323-344
-
-
Natarajan, R.1
Acrivos, A.2
-
8
-
-
0029239963
-
Linear stability analysis of viscoelastic Poiseuille flow using an Arnoldi-based orthogonalization algorithm
-
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.
-
(1995)
J. Non-Newtonian Fluid Mech.
, vol.56
, pp. 151-182
-
-
Sureshkumar, R.1
Beris, A.N.2
-
9
-
-
0000094594
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Res. Natl. Bur. Stand. 45 (1950) 255-280.
-
(1950)
J. Res. Natl. Bur. Stand.
, vol.45
, pp. 255-280
-
-
Lanczos, C.1
-
10
-
-
0012568829
-
-
Elsevier, Amsterdam, The Netherlands
-
J. Cullum, R.A. Willoughby, Large Scale Eigenvalue Problems, Elsevier, Amsterdam, The Netherlands, 1986, pp. 193-240.
-
(1986)
Large Scale Eigenvalue Problems
, pp. 193-240
-
-
Cullum, J.1
Willoughby, R.A.2
-
11
-
-
0030111626
-
Stability of viscoelastic flows between eccentric rotating cylinders
-
A. Chawda, M. Avgousti, Stability of viscoelastic flows between eccentric rotating cylinders, J. Non-Newtonian Fluid Mech. 63 (1996) 97.
-
(1996)
J. Non-Newtonian Fluid Mech.
, vol.63
, pp. 97
-
-
Chawda, A.1
Avgousti, M.2
-
12
-
-
0026838278
-
Finite amplitude time-periodic states in viscoelastic Taylor-Couette flow of a UCM fluid
-
P. Northey, R.C. Armstrong, R.A. Brown, Finite amplitude time-periodic states in viscoelastic Taylor-Couette flow of a UCM fluid, J. Non-Newtonian Fluid Mech. 42 (1992) 117-140.
-
(1992)
J. Non-Newtonian Fluid Mech.
, vol.42
, pp. 117-140
-
-
Northey, P.1
Armstrong, R.C.2
Brown, R.A.3
-
13
-
-
0027627138
-
Spectral methods for the viscoelastic time-dependent flow equations with applications to Taylor-Couette flow
-
M. Avgousti, B. Liu, A.N. Beris, Spectral methods for the viscoelastic time-dependent flow equations with applications to Taylor-Couette flow, Int. J. Numer. Methods Fluids. 17 (1993) 49-74.
-
(1993)
Int. J. Numer. Methods Fluids.
, vol.17
, pp. 49-74
-
-
Avgousti, M.1
Liu, B.2
Beris, A.N.3
-
14
-
-
34250073348
-
On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations
-
R.A. Brown, M.J. Szady, P.J. Northey, R.C. Armstrong, On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations, Theoret. Comput. Fluid Dyn. 6 (1993) 77-106.
-
(1993)
Theoret. Comput. Fluid Dyn.
, vol.6
, pp. 77-106
-
-
Brown, R.A.1
Szady, M.J.2
Northey, P.J.3
Armstrong, R.C.4
-
15
-
-
0027628642
-
Hydrodynamic stability without eigenvalues
-
L.N. Trefethen, A.E. Trefethen, S.C. Reddy, T.A. Driscoli, Hydrodynamic stability without eigenvalues, Science 261 (1993) 578-584.
-
(1993)
Science
, vol.261
, pp. 578-584
-
-
Trefethen, L.N.1
Trefethen, A.E.2
Reddy, S.C.3
Driscoli, T.A.4
-
17
-
-
0027392527
-
Energy growth in viscous channels
-
S.C. Reddy, D.S. Henningson, Energy growth in viscous channels, J. Fluid Mech. 252 (1993) 209-238.
-
(1993)
J. Fluid Mech.
, vol.252
, pp. 209-238
-
-
Reddy, S.C.1
Henningson, D.S.2
-
18
-
-
0026223132
-
Observations on the elastic instability in cone-and-plate and parallel-plate flows of a polyisobutylene Boger fluid
-
G.H. McKinley, J.A. Byars, R.A. Brown, R.C. Armstrong, Observations on the elastic instability in cone-and-plate and parallel-plate flows of a polyisobutylene Boger fluid, J. Non-Newtonian Fluid Mech. 40 (1991) 201-229.
-
(1991)
J. Non-Newtonian Fluid Mech.
, vol.40
, pp. 201-229
-
-
McKinley, G.H.1
Byars, J.A.2
Brown, R.A.3
Armstrong, R.C.4
-
19
-
-
0028768562
-
Non-axisymmetric, subcritical bifurcations in viscoelastic Taylor-Couette Flow
-
R. Sureshkumar, A.N. Beris, M. Avgousti, Non-axisymmetric, subcritical bifurcations in viscoelastic Taylor-Couette Flow, Proc. R. Soc. London Series A. 447 (1994) 135-153.
-
(1994)
Proc. R. Soc. London Series A
, vol.447
, pp. 135-153
-
-
Sureshkumar, R.1
Beris, A.N.2
Avgousti, M.3
-
20
-
-
0030088274
-
Hopf-Hopf and steady-Hopf mode interactions in Taylor-Couette flow of an upper convected Maxwell liquid
-
M. Renardy, Y. Renardy, R. Sureshkumar, A.N. Beris, Hopf-Hopf and steady-Hopf mode interactions in Taylor-Couette flow of an upper convected Maxwell liquid, J. Non-Newtonian Fluid Mech. 63 (1996) 1-31.
-
(1996)
J. Non-Newtonian Fluid Mech.
, vol.63
, pp. 1-31
-
-
Renardy, M.1
Renardy, Y.2
Sureshkumar, R.3
Beris, A.N.4
-
21
-
-
0000064075
-
On a linear instability of a plane parallel Couette flow of viscoelastic fluid
-
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.
-
(1967)
J. Appl. Math. Mech.
, vol.31
, pp. 310-319
-
-
Gorodtsov, V.A.1
Leonov, A.I.2
-
22
-
-
0022795184
-
Linear stability of plane couette flow of an upper convected Maxwell fluid
-
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.
-
(1986)
J. Non-Newtonian Fluid Mech.
, vol.22
, pp. 23-33
-
-
Renardy, M.1
Renardy, Y.2
-
23
-
-
0026465763
-
A rigorous stability proof for plane Couette flow of an upper convected Maxwell fluid at zero Reynolds number
-
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.
-
(1992)
Eur. J. Mech., B/Fluids.
, vol.11
, pp. 511-516
-
-
Renardy, M.1
-
24
-
-
0026801646
-
Finite element methods for Navier-Stokes equations
-
R. Glowinski, O. Pironneau, Finite element methods for Navier-Stokes equations, Ann. Rev. Fluid Mech. 24 (1989) 167-204.
-
(1989)
Ann. Rev. Fluid Mech.
, vol.24
, pp. 167-204
-
-
Glowinski, R.1
Pironneau, O.2
-
25
-
-
0002166066
-
A new θ-scheme algorithm and incompressible FEM for viscoelastic fluid flows
-
P. Saramito, A new θ-scheme algorithm and incompressible FEM for viscoelastic fluid flows, Math. Modelling and Numer. Anal. 28 (1994) 1-35.
-
(1994)
Math. Modelling and Numer. Anal.
, vol.28
, pp. 1-35
-
-
Saramito, P.1
-
26
-
-
0028431277
-
Flow characteristics of viscoelastic fluids in an abrupt contraction by using numerical modeling
-
P. Saramito, J.M. Piau, Flow characteristics of viscoelastic fluids in an abrupt contraction by using numerical modeling, J. Non-Newtonian Fluid Mech. 52 (1994) 263-288.
-
(1994)
J. Non-Newtonian Fluid Mech.
, vol.52
, pp. 263-288
-
-
Saramito, P.1
Piau, J.M.2
-
27
-
-
0002058827
-
The numerical solution of parabolic and elliptic differential equations
-
D. Peaceman, H. Rachford, The numerical solution of parabolic and elliptic differential equations, J. Siam 3 (1955) 28-41.
-
(1955)
J. Siam
, vol.3
, pp. 28-41
-
-
Peaceman, D.1
Rachford, H.2
-
28
-
-
0029142183
-
A new mixed finite element method for viscoelastic flows governed by differential constitutive equations
-
M.J. Szady, T. Salomon, A.W. Liu, D.E. Bornside, R.C. Armstrong, R.A. Brown, A new mixed finite element method for viscoelastic flows governed by differential constitutive equations, J. Non-Newtonian Fluid Mech. 59 (1995) 215-243.
-
(1995)
J. Non-Newtonian Fluid Mech.
, vol.59
, pp. 215-243
-
-
Szady, M.J.1
Salomon, T.2
Liu, A.W.3
Bornside, D.E.4
Armstrong, R.C.5
Brown, R.A.6
-
29
-
-
0003709643
-
-
Prentice-Hall, Englewood-Cliffs, NJ
-
G.F. Carey, J.T. Oden, Finite Elements, vol. 6, Prentice-Hall, Englewood-Cliffs, NJ, 1986.
-
(1986)
Finite Elements
, vol.6
-
-
Carey, G.F.1
Oden, J.T.2
-
30
-
-
0024068483
-
Creeping flow of dilute polymer solutions past cylinders and spheres
-
M.D. Chilcott, J.M. Rallison, Creeping flow of dilute polymer solutions past cylinders and spheres, J. Non-Newtonian Fluid Mech. 29 (1988) 381-432.
-
(1988)
J. Non-Newtonian Fluid Mech.
, vol.29
, pp. 381-432
-
-
Chilcott, M.D.1
Rallison, J.M.2
-
31
-
-
0024714622
-
On the non-Newtonian flow past a cylinder in a confined flow
-
S.A. Dhahir, K. Walters, On the non-Newtonian flow past a cylinder in a confined flow, J. Rheol. 33 (1989) 781-804.
-
(1989)
J. Rheol.
, vol.33
, pp. 781-804
-
-
Dhahir, S.A.1
Walters, K.2
-
32
-
-
0018984093
-
A numerical simulation of Newtonian and viscoelastic flow past stationary and rotating cylinders
-
P. Townsend, A numerical simulation of Newtonian and viscoelastic flow past stationary and rotating cylinders, J. Non-Newtonian Fluid Mech. 6 (1980) 219-243.
-
(1980)
J. Non-Newtonian Fluid Mech.
, vol.6
, pp. 219-243
-
-
Townsend, P.1
-
33
-
-
0008466694
-
Slow viscoelastic flow past a cylinder in a rectangular channel
-
E.O.A. Carew, P. Townsend, Slow viscoelastic flow past a cylinder in a rectangular channel, Rheologica Acta 30 (1991) 58-64.
-
(1991)
Rheologica Acta
, vol.30
, pp. 58-64
-
-
Carew, E.O.A.1
Townsend, P.2
-
34
-
-
0001321120
-
Polymeric flow through fibrous media
-
L. Skartsis, B. Khomami, J.L. Kardos, Polymeric flow through fibrous media, J. Rheol 36 (1992) 589-620.
-
(1992)
J. Rheol
, vol.36
, pp. 589-620
-
-
Skartsis, L.1
Khomami, B.2
Kardos, J.L.3
-
35
-
-
84914970971
-
Applications of domain decomposition spectral collocation methods in viscoelastic flows through model porous media
-
A. Souvaliotis, A.N. Beris, Applications of domain decomposition spectral collocation methods in viscoelastic flows through model porous media, J. Rheol. 36 (1992) 1417-1453.
-
(1992)
J. Rheol.
, vol.36
, pp. 1417-1453
-
-
Souvaliotis, A.1
Beris, A.N.2
-
36
-
-
84955042128
-
Application of higher order finite element methods to viscoelastic flow in porous media
-
K. Talwar, B. Khomami, Application of higher order finite element methods to viscoelastic flow in porous media, J. Rheol. 36 (1992) 1377-1416.
-
(1992)
J. Rheol.
, vol.36
, pp. 1377-1416
-
-
Talwar, K.1
Khomami, B.2
-
37
-
-
0028404040
-
An experimental and numerical investigation of a viscoelastic flow around a cylinder
-
F.P.T. Baaijens, H.P.W. Baaijens, G.W.M. Peters, H.E.H. Meijer, An experimental and numerical investigation of a viscoelastic flow around a cylinder, J. Rheol. 38 (1994) 351-376.
-
(1994)
J. Rheol.
, vol.38
, pp. 351-376
-
-
Baaijens, F.P.T.1
Baaijens, H.P.W.2
Peters, G.W.M.3
Meijer, H.E.H.4
-
38
-
-
0001304924
-
Viscoelastic flow past a confined cylinder of polyisobutylene solution
-
H.P.W. Baaijens, G.W.M. Peters, F.P.T. Baaijens, H.E.H. Meijer, Viscoelastic flow past a confined cylinder of polyisobutylene solution, J. Rheol. 39 (1995) 1243-1278.
-
(1995)
J. Rheol.
, vol.39
, pp. 1243-1278
-
-
Baaijens, H.P.W.1
Peters, G.W.M.2
Baaijens, F.P.T.3
Meijer, H.E.H.4
-
39
-
-
0001271271
-
Numerical simulation of viscoelastic flow around a cylinder using an integral constitutive equation
-
G. Barakos, E. Mitsoulis, Numerical simulation of viscoelastic flow around a cylinder using an integral constitutive equation, J. Rheol. 39 (1995) 1279-1292.
-
(1995)
J. Rheol.
, vol.39
, pp. 1279-1292
-
-
Barakos, G.1
Mitsoulis, E.2
-
40
-
-
11144309217
-
Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparison of predictions for microstructure and flow fields
-
in press
-
A.W. Liu, D.E. Bornside, D.E.R.C. Armstrong, R.A. Brown, Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparison of predictions for microstructure and flow fields, J. Non-Newtonian Fluid Mech. 1997, in press.
-
(1997)
J. Non-Newtonian Fluid Mech.
-
-
Liu, A.W.1
Bornside, D.E.2
Armstrong, D.E.R.C.3
Brown, R.A.4
-
41
-
-
0027524062
-
The wake instability in viscoelastic flow past confined circular cylinders
-
G.H. McKinley, R.C. Armstrong, R.A. Brown, The wake instability in viscoelastic flow past confined circular cylinders, Phil. Trans. R. Soc. Lond. A. 344 (1993) 265-304.
-
(1993)
Phil. Trans. R. Soc. Lond. A
, vol.344
, pp. 265-304
-
-
McKinley, G.H.1
Armstrong, R.C.2
Brown, R.A.3
-
42
-
-
0028461866
-
Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks
-
J.A. Byars, A. Öztekin, R.A. Brown, R.C. Armstrong, Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks, J. Fluid Mech. 271 (1994) 173-218.
-
(1994)
J. Fluid Mech.
, vol.271
, pp. 173-218
-
-
Byars, J.A.1
Öztekin, A.2
Brown, R.A.3
Armstrong, R.C.4
-
43
-
-
11144325900
-
Three-dimensional wake instability in viscoelastic flow past a cylinder: Theory and experiment
-
in press
-
A. Öztekin, J.A. Byars, A.W. Liu, R.C. Armstrong, R.A., Brown, Three-dimensional wake instability in viscoelastic flow past a cylinder: Theory and experiment, J. Fluid Mech. 1997, in press.
-
(1997)
J. Fluid Mech.
-
-
Öztekin, A.1
Byars, J.A.2
Liu, A.W.3
Armstrong, R.C.4
Brown, R.A.5
-
44
-
-
0003828771
-
-
Ph.D. Dissertation, Massachusetts Institute of Technology, Cambridge, MA
-
A.W. Liu, Viscoelastic flow of polymer solutions around arrays of cylinders: Comparison of experiment and theory, Ph.D. Dissertation, Massachusetts Institute of Technology, Cambridge, MA, 1997.
-
(1997)
Viscoelastic Flow of Polymer Solutions Around Arrays of Cylinders: Comparison of Experiment and Theory
-
-
Liu, A.W.1
-
45
-
-
0027643603
-
Elastic instability in crossflow of polymer solutions through periodic array of cylinders
-
C. Chmielewski, C. A. Petty, K. Jayaraman, Elastic instability in crossflow of polymer solutions through periodic array of cylinders, J. Non-Newtonian Fluid Mech. 48 (1993) 285-301.
-
(1993)
J. Non-Newtonian Fluid Mech.
, vol.48
, pp. 285-301
-
-
Chmielewski, C.1
Petty, C.A.2
Jayaraman, K.3
-
46
-
-
0003766476
-
-
Springer, New York
-
C. Canuto, M.Y. Houssaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics, Springer, New York, 1988.
-
(1988)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Houssaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
47
-
-
0002941945
-
-
Ph. D. dissertation, Massachusetts Institute of Technology, Cambridge, MA
-
M.J. Szady, Finite Element Methods for the Time Dependent Simulation of Viscoelastic Fluid Flows, Ph. D. dissertation, Massachusetts Institute of Technology, Cambridge, MA, 1996.
-
(1996)
Finite Element Methods for the Time Dependent Simulation of Viscoelastic Fluid Flows
-
-
Szady, M.J.1
-
48
-
-
0026890783
-
Numerical instability of time-dependent flows
-
R.A. Keiller, Numerical instability of time-dependent flows, J. Non-Newtonian Fluid Mech. 43 (1992) 229-246.
-
(1992)
J. Non-Newtonian Fluid Mech.
, vol.43
, pp. 229-246
-
-
Keiller, R.A.1
-
49
-
-
11144309054
-
-
in press
-
M.D. Graham, 1997, in press.
-
(1997)
-
-
Graham, M.D.1
-
50
-
-
0029273201
-
Parallel implementation of finite element/Newton method for solution of steady state and transient non-linear partial differential equations
-
M.R. Mehrabi, R.A. Brown, Parallel implementation of finite element/Newton method for solution of steady state and transient non-linear partial differential equations, J. Sci. Comput. 10 (1995) 93-137.
-
(1995)
J. Sci. Comput.
, vol.10
, pp. 93-137
-
-
Mehrabi, M.R.1
Brown, R.A.2
-
51
-
-
11144264818
-
Parallel block preconditioning techniques for Stokes-type flow problems and applications to the non-linear buoyancy-driven natural convection flow in a cavity
-
in press
-
Y. Cai, R.A. Brown, Parallel block preconditioning techniques for Stokes-type flow problems and applications to the non-linear buoyancy-driven natural convection flow in a cavity, Comp. Meth. Appl. Mech. and Eng. 1997, in press.
-
(1997)
Comp. Meth. Appl. Mech. and Eng.
-
-
Cai, Y.1
Brown, R.A.2
-
52
-
-
0022659813
-
Numerical investigation of incompressible flow in grooved channels: Part I. stability and self-sustained oscillations
-
N.K. Ghaddar, K.Z. Korczak, B.B. Mikic, A.T. Patera, Numerical investigation of incompressible flow in grooved channels: Part I. stability and self-sustained oscillations, J. Fluid Mech. 163 (1986) 99-127.
-
(1986)
J. Fluid Mech.
, vol.163
, pp. 99-127
-
-
Ghaddar, N.K.1
Korczak, K.Z.2
Mikic, B.B.3
Patera, A.T.4
|