Low Reynolds number hydrodynamics, 1983. ,
DOI : 10.1007/978-94-009-8352-6
Slender-body theory for particles of arbitrary cross-section in Stokes flow, Journal of Fluid Mechanics, vol.16, issue.03, pp.419-440, 1970. ,
DOI : 10.1063/1.1730995
Hydromechanics of low-Reynolds-number flow. Part 1. Rotation of axisymmetric prolate bodies, Journal of Fluid Mechanics, vol.26, issue.03, pp.607-622, 1974. ,
DOI : 10.1146/annurev.fl.01.010169.002213
Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flows, Journal of Fluid Mechanics, vol.76, issue.04, pp.787-815, 1975. ,
DOI : 10.1063/1.1730995
Low Reynolds number hydrodynamics, 1983. ,
DOI : 10.1007/978-94-009-8352-6
Hydrodynamique physique, 1991. ,
The rheology of a suspension of nearly spherical particles subject to Brownian rotations, Journal of Fluid Mechanics, vol.46, issue.04, pp.745-765, 1972. ,
DOI : 10.1063/1.1742594
Etude de l'orientation défibres de verre courtes lors de la mise en place de thermoplastiques chargés, Thèse de doctorat de l'Ecole Nationale des Mines de Paris, 1984. ,
The motion of long slender bodies in a viscous fluid Part 1. General theory, Journal of Fluid Mechanics, vol.32, issue.04, pp.791-810, 1970. ,
DOI : 10.1016/0009-2509(64)85005-3
The motion of long slender bodies in a viscous fluid. Part 2. Shear flow, Journal of Fluid Mechanics, vol.44, issue.04, pp.625-657, 1971. ,
DOI : 10.1016/0095-8522(51)90005-0
The theory--of polymer dynamics, pp.9-10, 1986. ,
The hydrodynamic stress in a suspension of rods, Physics of Fluids A: Fluid Dynamics, vol.2, issue.1, pp.7-24, 1990. ,
DOI : 10.1063/1.857683
Suspensions of prolate spheroids in Stokes flow. Part 1. Dynamics of a finite number of particles in an unbounded fluid, Journal of Fluid Mechanics, vol.195, issue.-1, pp.411-442, 1993. ,
DOI : 10.1016/0009-2509(63)80001-9
The stress generated in a non-dilute suspension of elongated particles by pure straining motion, Journal of Fluid Mechanics, vol.102, issue.04, pp.813-829, 1971. ,
DOI : 10.1007/BF01973476
The stress system in a suspension of force-free particles, Journal of Fluid Mechanics, vol.17, issue.03, pp.545-570, 1970. ,
DOI : 10.1016/0022-5096(63)90036-X
The rheological properties of suspensions of fibres in Newtonian fluids subjected to extensional deformations, Journal of Fluid Mechanics, vol.102, issue.03, pp.593-600, 1974. ,
DOI : 10.1002/pen.760060109
Extensional flow of polydisperse fibre suspensions in free-falling liquid jets, International Journal of Multiphase Flow, vol.16, issue.3, pp.545-559, 1990. ,
DOI : 10.1016/0301-9322(90)90081-S
Constitutive equations in suspension mechanics. Part 1. General formulation, Journal of Fluid Mechanics, vol.48, issue.03, pp.481-495, 1975. ,
DOI : 10.1063/1.1671698
Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations, Journal of Fluid Mechanics, vol.102, issue.01, pp.187-208, 1976. ,
DOI : 10.1017/S0022112073001990
A Rheological Equation of State for Semiconcentrated Fiber Suspensions, Journal of Rheology, vol.28, issue.3, pp.207-227, 1984. ,
DOI : 10.1122/1.549748
Observations of fibre orientation in simple shear flow of semi-dilute suspensions, Journal of Fluid Mechanics, vol.2, issue.-1, pp.277-296, 1992. ,
DOI : 10.1063/1.866809
Elongational flow and rheology of monodisperse polymers in solution, Journal of Non-Newtonian Fluid Mechanics, vol.30, issue.2-3, p.99, 1988. ,
DOI : 10.1016/0377-0257(88)85018-3
Uniaxial and biaxial extensional viscosity measurements of dilute and semi-dilute solutions of rigid rod polymers, Journal of Non-Newtonian Fluid Mechanics, vol.30, issue.2-3, p.303, 1988. ,
DOI : 10.1016/0377-0257(88)85030-4
Extensional flow behavior of polymer solutions and particle suspensions in a spinning motion, International Journal of Multiphase Flow, vol.1, issue.3, p.465, 1974. ,
DOI : 10.1016/0301-9322(74)90015-9
Rheological Phenomena in focus, 1993. ,
On the use of flow through a contraction in estimating the extensional viscosity of mobile polymer solutions, Journal of Non-Newtonian Fluid Mechanics, vol.30, issue.2-3, pp.233-250, 1988. ,
DOI : 10.1016/0377-0257(88)85026-2
Creeping flow regimes of low concentration polymer solutions in thick solvents through an orifice die, Journal of Non-Newtonian Fluid Mechanics, vol.45, issue.2, pp.231-285, 1992. ,
DOI : 10.1016/0377-0257(92)85005-H
The flow of fiber suspensions in complex geometries, Journal of Non-Newtonian Fluid Mechanics, vol.26, issue.3, pp.297-325, 1988. ,
DOI : 10.1016/0377-0257(88)80023-5
Conformational changes of macromolecules in transient elongational flow, Polymer Engineering and Science, vol.3, issue.7, p.466, 1980. ,
DOI : 10.1002/pen.760200705
Ecoulements complexes de polymères dans un solvant épais : conformation des molécules et viscosité élongationnelle, Thèse de doctorat de l'Institut National Polytechnique de Grenoble, 1988. ,
Ecoulements complexes de polymères dans un solvant épais : conformation des molécules et viscosité élongationnelle, Thèse de doctorat de l'Institut National Polytechnique de Grenoble, pp.111-147, 1988. ,
Hydrodynamique physique, p.75, 1991. ,
Low Reynolds number hydrodynamics, pp.150-513, 1983. ,
DOI : 10.1007/978-94-009-8352-6
Low Reynolds number hydrodynamics, p.153, 1983. ,
DOI : 10.1007/978-94-009-8352-6
Low Reynolds number hydrodynamics, p.495, 1983. ,
DOI : 10.1007/978-94-009-8352-6
Review of the entry flow problem: Experimental and numerical, Journal of Non-Newtonian Fluid Mechanics, vol.24, issue.2, pp.121-160, 1987. ,
DOI : 10.1016/0377-0257(87)85007-3
The motion of small particles in non-Newtonian fluids, Journal of Non-Newtonian Fluid Mechanics, vol.5, pp.33-78, 1979. ,
DOI : 10.1016/0377-0257(79)85004-1
Sink flows of a suspension of rigid rods: the failure of a similarity solution, Journal of Non-Newtonian Fluid Mechanics, vol.42, issue.3, p.249, 1992. ,
DOI : 10.1016/0377-0257(92)87012-Z
Low Reynolds number hydrodynamics, p.29, 1983. ,
DOI : 10.1007/978-94-009-8352-6
U c is imposed by solutal buoyancy. The right-hand side of (5.1.a) reduces to gßATN §c/v and system (5.1) admits new solutions. We check that friction and thermal buoyancy are the leading mechanisms within [ôç, § v ] as required if N and Sc verify the additional requirement N«Sc The scaling laws are given in table, Therefore, the following asymptotic cases can be distinguished : 2.1. Sc^«N«Sc which defines flows of type 2 ,
The scaling properties are Pr, Sc) diagram is given in figure 5. The results of the scale analysis makes it possible to predict the streamwise velocity variations for the different types of flows (figure 6) Flows of type 1 are heat-driven (N«Sc 1/3 ) : clearly, the velocity and temperature fields vary as in thermal convection (Pr«l) Only two length scales are involved. The concentration field is entirely determined by thermal effects and has no reverse action on the flow. We emphasize that strikingly flows of type 1 include flows where the amplitude of soluta! forces dominates over that of the first arising from thermal forces (~gß T ATO v ) and the second from solutal forces (~ gß T ACNo v ) ,
Buoyancy effects in fluids, 1973. ,
The Science of Crystallization : macroscopic phenomena and defect generation, 1991. ,
DOI : 10.1017/CBO9780511623165
Multicomponent Convection, Annual Review of Fluid Mechanics, vol.17, issue.1, p.11, 1985. ,
DOI : 10.1146/annurev.fl.17.010185.000303
Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients, International Journal of Heat and Mass Transfer, vol.28, issue.1, p.165, 1985. ,
DOI : 10.1016/0017-9310(85)90018-3
Natural convection in confined fluids with combined horizontal temperature and concentration gradients, International Journal of Heat and Mass Transfer, vol.31, issue.10, p.1969, 1988. ,
DOI : 10.1016/0017-9310(88)90106-8
Double diffusive natural convection in a vertical rectangular enclosure???I. Experimental study, International Journal of Heat and Mass Transfer, vol.34, issue.2, p.449, 1991. ,
DOI : 10.1016/0017-9310(91)90264-F
Convection Heat Transfer, 1993. ,
DOI : 10.1002/9781118671627
Double???diffusive flow in enclosures, Physics of Fluids A: Fluid Dynamics, vol.3, issue.11, p.2592, 1991. ,
DOI : 10.1063/1.858200
Natural convection due to horizontal temperature and concentration gradients???1. Variable thermophysical property effects, International Journal of Heat and Mass Transfer, vol.34, issue.12, p.3107, 1991. ,
DOI : 10.1016/0017-9310(91)90080-X
Natural convection due to horizontal temperature and concentration gradients???2. Species interdiffusion, Soret and Dufour effects, International Journal of Heat and Mass Transfer, vol.34, issue.12, p.3121, 1991. ,
DOI : 10.1016/0017-9310(91)90081-O
Binary diffusion and heat transfer in laminar free convection boundary layers on a vertical plate, International Journal of Heat and Mass Transfer, vol.8, issue.8, p.1135, 1965. ,
DOI : 10.1016/0017-9310(65)90140-7
Free-convection heat and mass transfer: the limiting case of GrAB/Gr ??? 0 and Pr/Sc ??? 0, Chemical Engineering Science, vol.23, issue.8, p.931, 1968. ,
DOI : 10.1016/0009-2509(68)80026-0
Simultaneous heat and mass transfer in laminar free convection from a vertical plate, Chemical Engineering Science, vol.23, issue.10, p.1185, 1968. ,
DOI : 10.1016/0009-2509(68)89026-8
Mass Transfer to Natural Convection Boundary Layer Flow Driven by Heat Transfer, Journal of Heat Transfer, vol.107, issue.4, p.979, 1985. ,
DOI : 10.1115/1.3247535
Numerical Methods in Boundary-Layer Theory, Annual Review of Fluid Mechanics, vol.10, issue.1, p.417, 1978. ,
DOI : 10.1146/annurev.fl.10.010178.002221
Numerical study of double-diffusive free convection from a vertical surface, International Journal of Heat and Mass Transfer, vol.31, issue.10, p.2033, 1988. ,
DOI : 10.1016/0017-9310(88)90114-7
Boundary Layer Theory, 1968. ,
DOI : 10.1007/978-3-662-52919-5
Scaling in Flows Driven by Heat and Mass Convection in a Porous Medium, Europhysics Letters (EPL), vol.20, issue.4, p.313, 1992. ,
DOI : 10.1209/0295-5075/20/4/005
Unsteady natural convection in a rectangular cavity, Journal of Fluid Mechanics, vol.65, issue.01, pp.65-292, 1980. ,
DOI : 10.1016/0017-9310(74)90079-9