Bibliographic references on second grade / second-order fluids
1955
Stress-deformation relations for isotropic materials
R. S. Rivlin and J. L. Ericksen
Journal of Rational Mechanics and Analysis, Volume 4, Issue 3 (1955) 323−425.
1963
Torsional oscillations of an infinite plate in second-order fluids
A. C. Srivastava
Journal of Fluid Mechanics, Volume 17, Issue 2 (1963) 171−181
Certain non-steady flows of second-order fluids
Tsuan Wu Ting
Archive for Rational Mechanics and Analysis, Volume 14, Number 1 (1963) 1−26
1964
Normal stress effects in second-order fluids
Bernard D. Coleman and Hershel Markovitz
Journal of Applied Physics, Volume 35, Issue 1 (1964) 1−9
Flow of second-order fluids with heat transfer
A. C. Srivastava
AIAA Journal, Volume 2, Issue 4 (1964) 749−750
1966
Plane creeping flows of incompressible second-order fluids
R. I. Tanner
Physics of Fluids, Volume 9, Issue 6 (1966) 1246−1247
Some flow problems in second-order fluids
H. G. Sharma
Ph. D. Thesis, University of Roorkee, India (1966)
Exact solutions of two dimensional flows of second order incompressible fluids
N. Ch. Pattabhi Ramacharyulu
Applied Scientific Research, Section A, Volume 15, Issue 1 (1966) 41−50
Unsteady flow of a second-order fluid near a stagnation point
A. C. Srivastava
Journal of Fluid Mechanics, Volume 24, Issue 1 (1966) 33−39
1969
Steady radial flow of second order fluids between two infinite parallel discs one rotating and the other at rest
S. C. Rajvanshi
Defence Science Journal, Volume 19, Issue 1 (1969) 39−48
1971
Stagnation point flow of a second-order viscoelastic fluid
T. Sarpkaya and P. G. Rainey
Acta Mechanica, Volume 11, Numbers 3-4 (1971) 237−246
1972
Oscillations of second order fluids near a sphere
M. S. Saroa
Defence Science Journal, Volume 22, Issue (1972) 9−14
Finite amplitude instability of second-order fluids in plane Poiseuille flow
Larry V. McIntire and C. H. Lin
Journal of Fluid Mechanics, Volume 52, Issue 2 (1972) 273−285
1973
On uniqueness and nonuniqueness in the plane creeping flows of second order fluids
R.R. Huilgol
SIAM Journal on Applied Mathematics, Volume 24, Issue 2 (1973) 226−233
Axially symmetric flow of a second order fluid near a stagnation point with uniform high suction
H. G. Sharma
Indian Journal of Pure & Applied Mathematics, Volume 4, Issue 2 (1973) 103−121
Steady Hartmann flow and wave propagation in second grade Rivlin-Ericksen magnetofluids
E Lundgren and A Carlsson
Physica Scripta, Volume 7, Issue 3 (1973) 107−116
Stability of second grade Rivlin-Ericksen magnetofluid flow between parallel planes in presence of a magnetic field
A. Carlsson and E. Lundgren
Physica Scripta, Volume 7, Issue 4 (1973) 177−178
1974
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
J. Ernest Dunn and Roger L. Fosdick
Archive for Rational Mechanics and Analysis, Volume 56, Number 3 (1974) 191−252
Laminar source flow of second order fluid between two parallel coaxial disks rotating at different speeds
R. C. Chaudhary and S. C. Rajvanshi
Defence Science Journal, Volume 24, Issue 1 (1974) 1−8
1975
The slow motion of slender rod-like particles in a second-order fluid
L. G. Leal
Journal of Fluid Mechanics, Volume 69, Issue 2 (1975) 305−337
Flow of a second-order fluid between two infinite rotating discs with injection
U. P. Sharma and H. G. Sharma
Indian Journal of Pure & Applied Mathematics, Volume 6, Issue 1 (1975) 36−44
Flow of simple fluids through open channels
M. Zidan
Rheologica Acta, Volume 14, Number 6 (1975) 493−502
Low-Reynolds-number flow of a second-order fluid past a porous sphere
P. D. Verma and N. S. Sacheti
Journal of Applied Physics, Volume 46, Issue 5 (1975) 2065−2069
1976
Migration of rigid spheres in a two-dimensional unidirectional shear flow of a second-order fluid
B. P. Ho and L. G. Leal
Journal of Fluid Mechanics, Volume 76, Issue 4 (1976) 783−799
1977
Flow of a second-order fluid in a curved pipe
Anand Prakash and H. G. Sharma
Indian Journal of Pure & Applied Mathematics, Volume 8, Issue 5 (1977) 546−557
The slow motion of a rigid particle in a second-order fluid
P. Brunn
Journal of Fluid Mechanics, Volume 82, Issue 3 (1977) 529−547
A note on the motion of a spherical particle in a general quadratic flow of a second-order fluid
P. C.-H. Chan and L. G. Leal
Journal of Fluid Mechanics, Volume 82, Issue 3 (1977) 549−559
Universal flows in the simplest theories of fluids
R. L. Fosdick and C. Truesdell
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, 4 Issue 2 (1977) 323−341
1978
Uniqueness and drag for fluids of second grade in steady motion
R. L. Fosdick and K. R. Rajagopal
International Journal of Non-Linear Mechanics, Volume 13, Issue 3 (1978) 131−137
1979
Anomalous features in the model of "second order fluids"
R. L. Fosdick and K. R. Rajagopal
Archive for Rational Mechanics and Analysis, Volume 70, Number 2 (1979) 145−152
The motion of a deformable drop in a second-order fluid
P. C.-H. Chan and L. G. Leal
Journal of Fluid Mechanics Digital Archive, Volume 92, Issue 1 (1979) 131−170
Rotations of elongate rigid particles in slow non-Newtonian flow
C.C. Ferguson
Tectonophysics, Volume 60, Issues 3-4, (1979) 247−262
1980
On the decay of vortices in a second grade fluid
K. R. Rajagopal
Meccanica, Volume 15, Number 3 (1980) 185−186
1981
Sur les fluides de second grade
El Hacène Ouazar
Thèse de 3ème Cycle, Université Pierre et Marie Curie Paris VI (1981)
On a class of exact solutions to the equations of motion of a second grade fluid
K. R. Rajagopal and A. S. Gupta
International Journal of Engineering Science, Volume 19, Issue 7 (1981) 1009−1014
Flow and stability of a second grade fluid between two parallel plates rotating about noncoincident axes
K. R. Rajagopal and A. S. Gupta
International Journal of Engineering Science, Volume 19, Issue 11 (1981) 1401−1409
1982
A note on unsteady unidirectional flows of a non-Newtonian fluid
K.R. Rajagopal
International Journal of Non-Linear Mechanics, Volume 17, Issues 5-6 (1982) 369−373
1983
Energy stability in the Bénard problem for a fluid of second grade
Brian Straughan
Zeitschrift für Angewandte Mathematik und Physik (ZAMP), Volume 34, Number 4 (1983) 502−509
Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid
K. R. Rajagopal
Acta Mechanica, Volume 49, Numbers 3-4 (1983) 281−285
Remarks on "a class of exact solutions to the equations of motion of a second grade fluid"
K. R. Rajagopal and A. S. Gupta
International Journal of Engineering Science, Volume 21, Issue 1 (1983) 61−63
A note on the falkner-skan flows of a non-newtonian fluid
K. R. Rajagopal, A. S. Gupta and T. Y. Na
International Journal of Non-Linear Mechanics, Volume 18, Issue 4 (1983) 313−320
The flow of a second grade fluid
P. N. Kaloni and A. M. Siddiqui
International Journal of Engineering Science, Volume 21, Issue 10 (1983) 1157−1169
Flow of a second-order fluid under torsionally oscillating disc
D. S. Gupta, H. G. Sharma
Indian Journal of Pure & Applied Mathematics, Volume 14, Issue 6 (1983) 728−734
Flow of a non-Newtonian second-order fluid between two infinite torsionally oscillating discs
H. G. Sharma, D. S. Gupta
Indian Journal of Pure & Applied Mathematics, Volume 14, Issue 9 (1983) 1091−1099
Flow of a second order fluid between two infinite porous rotating disks
Anand Prakash and H. G. Sharma
Defence Science Journal, Volume 33, Issue 3 (1983) 221−228
1984
Existence et unicité pour les fluides de second grade
Doina Cioranescu and El Hacène Ouazar
Comptes Rendus de l'Académie des Sciences, Série I 298 (1984) 285−287
Existence and uniqueness for fluids of second grade
D. Cioranescu and E.H. Ouazar
in: Partial Differential Equations and their Applications, Collège de France Seminars, Pitman Research Notes in Mathematics, 109, Pitman, Boston (1984) 178−197
On the creeping flow of the second-order fluid
K. R. Rajagopal
Journal of Non-Newtonian Fluid Mechanics, Volume 15, Issue 2 (1984) 239−246
Flow of an incompressible second order fluid past a sphere
M. S. Saroa and Rita Choudhury
Defence Science Journal, Volume 34, Issue 3 (1984) 285−291
Semi-inverse solutions of a non-newtonian fluid
P.N. Kaloni and K. Huschilt
International Journal of Non-Linear Mechanics, Volume 19, Issue 4 (1984) 373−381
1985
Heat transfer in the flow of a non-Newtonian second order fluid between torsionally oscillating disks
K. R. Singh and H. G. Sharma
Indian Journal of Pure & Applied Mathematics, Volume 16, Issue 9 (1985) 1044−1050
Hodograph transformation methods in non-Newtonian fluids
A. M. Siddiqui, P. N. Kaloni and O. P. Chandna
Journal of Engineering Mathematics, Volume 19, Number 3 (1985) 203−216
MHD flow of a second grade fluid in an orthogonal rheometer
A. Ramachandra Rao and P. Raghupathi Rao
International Journal of Engineering Science, Volume 23, Issue 12 (1985) 1387−1395
On the uniqueness of some helical flows of a second grade fluid
C. Fetecau and Corina Fetecau
Acta Mechanica, Volume 57, Numbers 3-4 (1985) 247−252
1986
Non-Newtonian fluids of second grade - rheology, thermodynamics and extended thermodynamics
K. Wilmanski
in Trends in Applications of Pure Mathematics to Mechanics, Volume 249/1986 (1986) 376−383
Instabilities with reduced frictional drag in the rotating channel flow of dilute polymer solutions
C. G. Speziale and S. Thangam
Acta Mechanica, Volume 60, Numbers 1-2 (1986) 17−40
1988
Steady laminar second grade fluid flow between two rotating porous discs with moderate rotation
P. D. Verma and P. R. Sharma
Defence Science Journal, Volume 38, Issue 1 (1988) 87−97
1989
Some remarks on "useful theorems for the second order fluid"
P. N. Kaloni
Journal of Non-Newtonian Fluid Mechanics, Volume 31, Issue 1 (1989) 115−120
Several comments of the paper "some remarks on 'useful theorems for the second order fluid'" by P.N. Kaloni
H. Giesekus
Journal of Non-Newtonian Fluid Mechanics, Volume 33, Issue 3 (1989) 343−348
Thermoconvective instability of a second-order fluid
Luis Antonio O. Dávalos and Octavio Manero
Journal of Physical Society of Japan, Volume 55, Issue 2 (1986) 442−445
Effect of injection or suction on the Falkner-Skan flows of second grade fluids
M. Massoudi and M. Ramezan
International Journal of Non-Linear Mechanics, Volume 24, Issue 3 (1989) 221−227
The effect of an additional boundary condition on the plane creeping flow of a second-order fluid
Patrick Bourgin and John A. Tichy
International Journal of Non-Linear Mechanics, Volume 24, Issue 6 (1989) 561−569
1990
On the conditional stability of the rest state of a fluid of second grade in unbounded domains
G. P. Galdi, M. Padula and K. R. Rajagopal
Archive for Rational Mechanics and Analysis, Volume 109, Number 2 (1990) 173−182
Some more inverse solutions of a non-newtonian fluid
A. M. Siddiqui
Mechanics Research Communications, Volume 17, Issue 3 (1990) 157−163
1991
Flow of a non-Newtonian fluid past a wedge
V. K. Garg and K. R. Rajagopal
Acta Mechanica, Volume 88, Numbers 1-2 (1991) 113−123
Flow of a shear thinning fluid between intersecting planes
D. Mansutti and K. R. Ramgopal
International Journal of Non-Linear Mechanics, Volume 26, Issue 5 (1991) 769−775
Stability of a thin layer of a second-grade fluid on a rotating disk
B. S. Dandapat and A. S. Gupta
International Journal of Non-Linear Mechanics, Volume 26, Issues 3-4 (1991) 409−417
1992
Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity
Chi-Sing Man
Archive for Rational Mechanics and Analysis, Volume 119, Number 1 (1992) 35−57
Certain solutions of the equations of the planar motion of a second grade fluid for steady and unsteady cases
A. M. Benharbit and A. M. Siddiqui
Acta Mechanica, Volume 94, Numbers 1-2 (1992) 85−96
Heat transfer analysis of a viscoelastic fluid at a stagnation point
M. Massoudi and M. Ramezan
Mechanics Research Communications, Volume 19, Issue 2 (1992) 129−134
1993
Flow of a generalized second grade fluid between heated plates
G. Gupta and M. Massoudi
Acta Mechanica, Volume 99, Numbers 1-4 (1993) 21−33
Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids
Giovanni P. Galdi, Marié Grobbelaar-Van Dalsen and Niko Sauer
Archive for Rational Mechanics and Analysis, Volume 124, Number 3 (1993) 221−237
On the rectilinear flow of a second-order fluid and the role of the second normal stress difference in edge fracture in rheometry
R. R. Huilgol, M. Panizza and L. E. Payne
Journal of Non-Newtonian Fluid Mechanics, Volume 50, Issues 2-3 (1993) 331−348
Some reversed and non-reversed flows of a second grade fluid
E. O. Oku-Ukpongb, a and O. P. Chandnab
Mechanics Research Communications, Volume 20, Issue 1 (1993) 73−82
Non-similar flow of a non-newtonian fluid past a wedge
D. Mansutti, G. Pontrelli and K.R. Rajagopal
International Journal of Engineering Science, Volume 31, Issue 4 (1993) 637−647
Steady flows of non-Newtonian fluids past a porous plate with suction or injection
D. Mansutti, G. Pontrelli and K. R. Rajagopal
International Journal for Numerical Methods in Fluids, Volume 17 Issue 11 (1993) 927−941
1994
Existence, uniqueness and stability of regular steady motions of a second-grade fluid
Vincenzo Coscia and Giovanni P. Galdi
International Journal of Non-Linear Mechanics, Volume 29, Issue 4 (1994) 493−506
Further existence results for classical solutions of the equations of a second-grade fluid
Giovanni P. Galdi and Adélia Sequeira
Archive for Rational Mechanics and Analysis, Volume 128, Number 4 (1994) 297−312
Peristaltic flow of a second-order fluid in tubes
A. M. Siddiqui and W. H. Schwarz
Journal of Non-Newtonian Fluid Mechanics, Volume 53 (1994) 257−284
Unsteady second grade aligned MHD fluid flow
O. P. Chandna and E. O. Oku-Ukpong
Acta Mechanica, Volume 107, Numbers 1-4 (1994) 77−91
Some solutions of the equations of a second grade fluid flow by von mises coordinate transformations
O. P. Chandna and E. O. Oku-Ukpong
International Journal of Engineering Science, Volume 32, Issue 2 (1994) 257−266