G. Batchelor and J. Green, The hydrodynamic interaction of two small freely-moving spheres in a linear flow field, Journal of Fluid Mechanics, vol.41, issue.02, pp.56-375, 1972.
DOI : 10.1007/BF01976444

G. Batchelor and J. Green, The determination of the bulk stress in a suspension of spherical particles to order c 2, Journal of Fluid Mechanics, vol.19, issue.03, pp.401-427, 1972.
DOI : 10.1007/BF01976445

D. Jeffrey and Y. Onishi, Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow, Journal of Fluid Mechanics, vol.1, issue.-1, pp.261-290, 1984.
DOI : 10.1007/BF01590642

S. Kim and R. T. Mifflin, The resistance and mobility functions of two equal spheres in low-reynolds-number flow, The Physics, pp.2033-2045, 1985.

D. Jeffrey, The calculation of the low Reynolds number resistance functions for two unequal spheres, Physics of Fluids A: Fluid Dynamics, vol.10, issue.1, pp.16-29, 1992.
DOI : 10.1063/1.865384

S. Kim and S. J. Karrila, Microhydrodynamics: principles and selected applications , Courier Corporation, p.870, 2013.

G. Batchelor, The effect of Brownian motion on the bulk stress in a suspension of spherical particles, Journal of Fluid Mechanics, vol.17, issue.01, pp.97-117, 1977.
DOI : 10.1016/0001-8686(72)80001-0

J. F. Brady and J. F. Morris, Microstructure of strongly sheared suspensions and its impact on rheology and diffusion, Journal of Fluid Mechanics, vol.348, pp.875-103, 1997.
DOI : 10.1017/S0022112097006320

I. E. Zarraga and D. T. Leighton-jr, Normal stress and diffusion in a dilute suspension of hard spheres undergoing simple shear, Physics of Fluids, vol.13, issue.3, pp.565-577, 2001.
DOI : 10.1016/0021-9797(77)90414-3

J. F. Brady and G. Bossis, Stokesian dynamics, Annual review of fluid mechan- 880 ics, pp.111-157, 1988.

H. Brenner and M. E. , On the Stokes resistance of multiparticle systems in a linear shear field, Chemical Engineering Science, vol.27, issue.7, pp.1421-1439, 1972.
DOI : 10.1016/0009-2509(72)85029-2

S. Wakiya, C. Darabaner, and S. Mason, Particle motions in sheared suspensions XXI: Interactions of rigid spheres (theoretical), Rheologica Acta, vol.16, issue.3, pp.264-273, 1967.
DOI : 10.1098/rspa.1964.0252

C. Lin, K. Lee, and N. Sather, Slow motion of two spheres in a shear field, Journal of Fluid Mechanics, vol.22, issue.01, pp.35-47, 1970.
DOI : 10.1016/0009-2509(67)80105-2

E. Guazzelli and J. F. Morris, A physical introduction to suspension dynamics, p.890
DOI : 10.1017/CBO9780511894671

URL : http://cds.cern.ch/record/1486294/files/9780521193191_TOC.pdf

F. Blanc, F. Peters, and E. Lemaire, Experimental Signature of the Pair Trajectories of Rough Spheres in the Shear-Induced Microstructure in Noncolloidal Suspensions, Physical Review Letters, vol.21, issue.20, 2011.
DOI : 10.1016/0021-9797(77)90413-1

URL : https://hal.archives-ouvertes.fr/hal-00645540

F. Blanc, E. Lemaire, A. Meunier, and F. Peters, Microstructure in sheared non-Brownian concentrated suspensions, Journal of Rheology, vol.57, issue.1, pp.273-292, 2013.
DOI : 10.1122/1.4766597

URL : https://hal.archives-ouvertes.fr/hal-00781954

F. Parsi and F. Gadala-maria, Fore???and???Aft Asymmetry in a Concentrated Suspension of Solid Spheres, Journal of Rheology, vol.31, issue.8, pp.725-732, 1987.
DOI : 10.1122/1.549944

C. Gao, S. Kulkarni, J. Morris, and J. Gilchrist, Direct investigation of anisotropic suspension structure in pressure-driven flow, Physical Review E, vol.81, issue.4, p.41403, 2010.
DOI : 10.1021/la051490h

F. Blanc, F. Peters, and E. Lemaire, Kinetics of owing dispersions. 9. doublets of rigid spheres (experimental) Shear-induced dispersion in a dilute suspension of rough spheres, Journal of Colloid Interface Science Journal of Fluid Mechanics, vol.61, issue.309, pp.905-211, 1977.

P. Pham, B. Metzger, J. E. Butler, I. Rampall, J. R. Smart et al., Particle dispersion in sheared suspensions: Crucial role of solid-solid contacts The influence of surface roughness on the particle-pair distribution function of dilute suspensions of noncolloidal spheres in simple shear flow, Physics of Fluids Journal of Fluid Mechanics, vol.27, issue.339, pp.1-24, 1997.

J. F. Morris, A review of microstructure in concentrated suspensions and its implications for rheology and bulk flow, Rheologica Acta, vol.45, issue.1, pp.909-923, 2009.
DOI : 10.1017/S0022112001005912

A. Singh and P. R. Nott, Normal stresses and microstructure in bounded sheared suspensions via Stokesian Dynamics simulations, Journal of Fluid Mechanics, vol.412, pp.279-301, 2000.
DOI : 10.1017/S0022112000008375

]. A. Sierou and J. Brady, Rheology and microstructure in concentrated noncolloidal suspensions, Journal of Rheology, vol.46, issue.5, pp.920-1031, 2002.
DOI : 10.1122/1.1501925

J. J. Stickel and R. L. Powell, FLUID MECHANICS AND RHEOLOGY OF DENSE SUSPENSIONS, Annual Review of Fluid Mechanics, vol.37, issue.1, pp.129-149, 2005.
DOI : 10.1146/annurev.fluid.36.050802.122132

N. Phan-thien, X. Fan, and B. C. Khoo, A new constitutive model for monodispersed suspensions of spheres at high concentrations, Rheologica Acta, vol.38, issue.4, pp.297-304, 1999.
DOI : 10.1007/s003970050181

J. J. Stickel, R. J. Phillips, and R. L. Powell, A constitutive model for microstructure and total stress in particulate suspensions, Journal of Rheology, vol.50, issue.4, pp.379-413, 2006.
DOI : 10.1122/1.2209558

J. J. Stickel, R. J. Phillips, and R. L. Powell, Application of a constitutive model for particulate suspensions: Time-dependent viscometric flows, Journal of Rheology, vol.51, issue.6, pp.1271-1302, 2007.
DOI : 10.1122/1.2790462

R. M. Miller, J. P. Singh, and J. F. Morris, Suspension flow modeling for general geometries, Chemical Engineering Science, vol.64, issue.22, pp.4597-4610, 2009.
DOI : 10.1016/j.ces.2009.04.033

J. F. Morris and F. Boulay, Curvilinear flows of noncolloidal suspensions: The role of normal stresses, Journal of Rheology, vol.43, issue.5, pp.1213-1237, 1999.
DOI : 10.1122/1.551021

J. Morris and J. Brady, Pressure-driven flow of a suspension: Buoyancy effects, International Journal of Multiphase Flow, vol.24, issue.1, pp.105-130, 1998.
DOI : 10.1016/S0301-9322(97)00035-9

P. R. Nott and J. F. Brady, Pressure-driven flow of suspensions: simulation and theory, Journal of Fluid Mechanics, vol.266, issue.-1, pp.157-199, 1994.
DOI : 10.1063/1.866914

R. R. Huilgol and N. , Phan-Thien, Fluid mechanics of viscoplasticity, 2015.

A. Putz and I. Frigaard, Creeping flow around particles in a Bingham fluid, Journal of Non-Newtonian Fluid Mechanics, vol.165, issue.5-6, pp.263-280, 2010.
DOI : 10.1016/j.jnnfm.2010.01.001

]. A. Beris, J. Tsamopoulos, R. Armstrong, and R. Brown, Creeping motion of a sphere through a Bingham plastic, Journal of Fluid Mechanics, vol.6, issue.-1, pp.945-219, 1985.
DOI : 10.1017/S0022112057000105

B. T. Liu, S. J. Muller, and M. M. Denn, Convergence of a regularization method for creeping flow of a bingham material about a rigid sphere, Jour- 950 nal of non-newtonian fluid mechanics, pp.179-191, 2002.

J. Blackery and E. Mitsoulis, Creeping motion of a sphere in tubes filled with a Bingham plastic material, Journal of Non-Newtonian Fluid Mechanics, vol.70, issue.1-2, pp.59-77, 1997.
DOI : 10.1016/S0377-0257(96)01536-4

M. Beaulne and E. Mitsoulis, Creeping motion of a sphere in tubes filled with Herschel???Bulkley fluids, Journal of Non-Newtonian Fluid Mechanics, vol.72, issue.1, pp.55-71, 1997.
DOI : 10.1016/S0377-0257(97)00024-4

B. Deglo-de-besses, A. Magnin, and P. Jay, Sphere drag in a viscoplastic fluid, AIChE Journal, vol.10, issue.10, pp.2627-2629, 2004.
DOI : 10.1252/kakoronbunshu1953.35.1144

A. Putz, T. Burghelea, I. Frigaard, and D. Martinez, Settling of an isolated spherical particle in a yield stress shear thinning fluid, Physics of Fluids, vol.1, issue.3, p.33102, 2008.
DOI : 10.1007/978-3-642-66165-5

Y. Holenberg, O. Lavrenteva, A. Liberzon, U. Shavit, and A. Nir, PTV and PIV study of the motion of viscous drops in yield stress material, Journal of Non-Newtonian Fluid Mechanics, vol.193, pp.129-143, 2013.
DOI : 10.1016/j.jnnfm.2012.09.013

]. B. Gueslin, L. Talini, B. Herzhaft, Y. Peysson, and C. , Allain, Flow induced by a sphere settling in an aging yield-stress fluid, Physics of Fluids, vol.18, issue.10, p.965, 2006.

D. Fraggedakis, Y. Dimakopoulos, and J. Tsamopoulos, Yielding the yieldstress analysis: a study focused on the effects of elasticity on the settling of 970 a single spherical particle in simple yield-stress fluids, Soft matter, vol.12, pp.24-2016

D. Fraggedakis, Y. Dimakopoulos, and J. Tsamopoulos, Yielding the yield stress analysis: A thorough comparison of recently proposed elasto-visco-plastic (EVP) fluid models, Journal of Non-Newtonian Fluid Mechanics, vol.238, issue.975, pp.170-188, 2016.
DOI : 10.1016/j.jnnfm.2016.11.007

P. Saramito, A new constitutive equation for elastoviscoplastic fluid flows, Journal of Non-Newtonian Fluid Mechanics, vol.145, issue.1, pp.1-14, 2007.
DOI : 10.1016/j.jnnfm.2007.04.004

URL : https://hal.archives-ouvertes.fr/hal-00109097

P. Saramito, A new elastoviscoplastic model based on the Herschel???Bulkley viscoplastic model, Journal of Non-Newtonian Fluid Mechanics, vol.158, issue.1-3, pp.980-154, 2009.
DOI : 10.1016/j.jnnfm.2008.12.001

URL : https://hal.archives-ouvertes.fr/hal-00316158

C. J. Dimitriou, R. H. Ewoldt, and G. H. Mckinley, Describing and prescribing the constitutive response of yield stress fluids using large amplitude oscillatory shear stress (LAOStress), Journal of Rheology, vol.57, issue.1, pp.27-70, 2013.
DOI : 10.1122/1.4754023

S. Hormozi, G. Dunbrack, and I. Frigaard, Visco-plastic sculpting, Physics of Fluids, vol.26, issue.9
DOI : 10.1063/1.2838582

B. Gueslin, L. Talini, and Y. Peysson, Sphere settling in an aging yield stress fluid: link between the induced flows and the rheological behavior, Rheologica Acta, vol.51, issue.1, p.961, 2009.
DOI : 10.1016/0377-0257(95)01398-9

Y. Holenberg, O. M. Lavrenteva, U. Shavit, and A. Nir, Particle tracking velocimetry and particle image velocimetry study of the slow motion of rough and smooth solid spheres in a yield-stress fluid, Physical Review E, vol.43, issue.6, p.66301, 2012.
DOI : 10.1016/0301-9322(83)90111-8

F. Ahonguio, L. Jossic, and A. Magnin, Influence of surface properties on the flow of a yield stress fluid around spheres, Journal of Non-Newtonian Fluid Mechanics, vol.206, issue.206, pp.57-70, 2014.
DOI : 10.1016/j.jnnfm.2014.03.002

A. Van-dinther, C. Schroën, F. Vergeldt, R. Van-der-sman, and R. Boom, Suspension flow in microfluidic devices ??? A review of experimental techniques focussing on concentration and velocity gradients, Advances in Colloid and Interface Science, vol.173, pp.23-34, 2012.
DOI : 10.1016/j.cis.2012.02.003

]. G. Ovarlez, F. Mahaut, S. Deboeuf, N. Lenoir, S. Hormozi et al., Flows of suspensions of particles in yield stress fluids, Journal of Rheology, vol.59, issue.6, pp.1000-1449, 2015.
DOI : 10.1122/1.4934363

URL : https://hal.archives-ouvertes.fr/hal-01223726

T. J. Heindel, M. Gholami, N. Lenoir, D. Hautemayou, G. Ovarlez et al., A review of x-ray flow visualization with applications to multiphase flows Timeresolved 2d concentration maps in flowing suspensions using x-ray, Journal of rheology under review, 2011.

R. L. Powell, S. Bhavaraju, R. Mashelkar, and H. Blanch, Experimental techniques for multiphase flows Bubble motion and mass transfer in non-newtonian fluids: Part i. single bubble in power law and bingham fluids, Physics of fluids AIChE Journal, vol.20, issue.246, pp.1063-1070, 1978.

A. Potapov, R. Spivak, O. M. Lavrenteva, and A. Nir, Motion and deformation of drops in bingham fluid, Industrial & engineering chemistry research 1015, pp.45-6985, 2006.

J. Tsamopoulos, Y. Dimakopoulos, N. Chatzidai, G. Karapetsas, and M. Pavlidis, Steady bubble rise and deformation in Newtonian and viscoplastic fluids and conditions for bubble entrapment, Journal of Fluid Mechanics, vol.23, pp.123-164, 2008.
DOI : 10.1017/S0022112082002936

J. P. Singh and M. M. Denn, Interacting two-dimensional bubbles and droplets in a yield-stress fluid, Physics of Fluids, vol.1, issue.4, p.40901, 2008.
DOI : 10.1017/S0022112095003673

Y. Dimakopoulos, M. Pavlidis, and J. Tsamopoulos, Steady bubble rise in Herschel???Bulkley fluids and comparison of predictions via the Augmented Lagrangian Method with those via the Papanastasiou model, Journal of Non-Newtonian Fluid Mechanics, vol.200, p.1025
DOI : 10.1016/j.jnnfm.2012.10.012

O. M. Lavrenteva, Y. Holenberg, and A. Nir, Motion of viscous drops in tubes filled with yield stress fluid, Chemical Engineering Science, vol.64, issue.22, pp.4772-4786, 2009.
DOI : 10.1016/j.ces.2009.06.055

Y. Holenberg, O. M. Lavrenteva, and A. Nir, Interaction of viscous drops in a yield stress material, Rheologica Acta, vol.27, issue.1, pp.375-387, 2011.
DOI : 10.1088/0508-3443/16/8/320

A. Maleki, S. Hormozi, A. Roustaei, and I. Frigaard, Macro-size drop encapsulation, Journal of Fluid Mechanics, vol.769, pp.482-521, 2015.
DOI : 10.1122/1.549926

E. Chaparian and I. A. Frigaard, Yield limit analysis of particle motion in a??yield-stress fluid, Journal of Fluid Mechanics, vol.819, pp.311-351, 2017.
DOI : 10.1016/j.jnnfm.2016.06.005

X. Chateau, G. Ovarlez, and K. L. Trung, Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids, Journal of Rheology, vol.52, issue.2, pp.489-506, 2008.
DOI : 10.1122/1.2838254

URL : https://hal.archives-ouvertes.fr/hal-00490785

]. F. Mahaut, X. Chateau, P. Coussot, and G. Ovarlez, Yield stress and elastic modulus of suspensions of noncolloidal particles in yield stress fluids, Journal of Rheology, vol.52, issue.1, pp.1040-287, 2008.
DOI : 10.1122/1.2798234

URL : https://hal.archives-ouvertes.fr/hal-00331837

G. Ovarlez, F. Bertrand, P. Coussot, and X. Chateau, Shear-induced sedimentation in yield stress fluids, Journal of Non-Newtonian Fluid Mechanics, vol.177, issue.178, pp.1045-1064, 2012.
DOI : 10.1016/j.jnnfm.2012.03.013

URL : https://hal.archives-ouvertes.fr/hal-00705378

G. Ovarlez and N. Roussel, A Physical Model for the Prediction of Lateral Stress Exerted by Self-Compacting Concrete on Formwork, Materials and Structures, vol.11, issue.3, pp.269-279, 2006.
DOI : 10.1617/s11527-005-9052-1

T. Vu, G. Ovarlez, and X. Chateau, Macroscopic behavior of bidisperse suspensions of noncolloidal particles in yield stress fluids, Journal of Rheology, vol.54, issue.4, pp.815-833, 2010.
DOI : 10.1122/1.3439731

URL : https://hal.archives-ouvertes.fr/hal-00493853

S. Dagois-bohy, S. Hormozi, ´. E. Guazzelli, and O. Pouliquen, Rheology of dense suspensions of non-colloidal spheres in yield-stress fluids Clouds of particles in a periodic shear flow, Journal of Fluid Mechanics Physics of Fluids, vol.776, issue.242, pp.1055-021703, 2012.

P. Pham, Origin of shear-induced diffusion in particulate suspensions: Crucial role of solid contacts between particles, 2016.

M. Souzy, Mélange dans les suspensions de particules cisailléescisailléesà bas nombre de reynolds, 2016.

M. Souzy, H. Lhuissier, E. Villermaux, and B. Metzger, Stretching and mixing in sheared particulate??suspensions, Journal of Fluid Mechanics, vol.82, pp.611-635, 2017.
DOI : 10.1063/1.1692385

URL : https://hal.archives-ouvertes.fr/hal-01441574

N. J. Balmforth, I. A. Frigaard, and G. Ovarlez, Yielding to Stress: Recent Developments in Viscoplastic Fluid Mechanics, Annual Review of Fluid Mechanics, vol.46, issue.1, pp.1065-121, 2014.
DOI : 10.1146/annurev-fluid-010313-141424

URL : https://hal.archives-ouvertes.fr/hal-00973814

G. Ovarlez, S. Cohen-addad, K. Krishan, J. Goyon, and P. Coussot, On the existence of a simple yield stress fluid behavior, Journal of Non-Newtonian Fluid Mechanics, vol.193, 1070.
DOI : 10.1016/j.jnnfm.2012.06.009

URL : https://hal.archives-ouvertes.fr/hal-00716376

I. A. Gutowski, D. Lee, J. R. De-bruyn, and B. J. Frisken, Scaling and mesostructure of Carbopol dispersions, Rheologica Acta, vol.21, issue.5, pp.441-450, 2012.
DOI : 10.1002/app.1977.070210110

. Frisken, Investigating the microstructure of a yield-stress fluid by light scattering, Physical Review E, vol.83, issue.3, p.31401, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01560395

J. Piau, Carbopol gels: Elastoviscoplastic and slippery glasses made of individual swollen sponges: Meso-and macroscopic properties, constitutive equations and scaling laws, Journal of non-newtonian fluid mechanics 1080, vol.144, issue.1, pp.1-29, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00352873

S. Inc, Jaguar, product guide for personal care solutions, 2015.

P. Uhlherr, J. Guo, C. Tiu, X. Zhang, J. Zhou et al., The shear-induced solid???liquid transition in yield stress materials with chemically different structures, Journal of Non-Newtonian Fluid Mechanics, vol.125, issue.2-3, pp.101-119, 1085.
DOI : 10.1016/j.jnnfm.2004.09.009

P. Coussot, Rheometry of pastes, suspensions, and granular materials: applications in industry and environment, 2005.
DOI : 10.1002/0471720577

D. Risica, A. Barbetta, L. Vischetti, C. Cametti, and M. Dentini, Rheological properties of guar and its methyl, hydroxypropyl and hydroxypropyl-methyl derivatives in semidilute and concentrated aqueous solutions, Polymer, vol.51, issue.9, pp.1972-1982, 2010.
DOI : 10.1016/j.polymer.2010.02.041

D. Szopinski, W. Kulicke, and G. A. Luinstra, Structure???property relationships of carboxymethyl hydroxypropyl guar gum in water and a hyperentanglement parameter, Carbohydrate Polymers, vol.119, pp.159-166, 2015.
DOI : 10.1016/j.carbpol.2014.11.050

R. O. Duda and P. E. Hart, Use of the Hough transformation to detect lines and curves in pictures, Communications of the ACM, vol.15, issue.1, pp.11-15, 1972.
DOI : 10.1145/361237.361242

J. K. Sveen, An introduction to matpiv v. 1.6. 1, Preprint series, Mechanics and Applied Mathematics, p.23418

L. G. Leal, Advanced transport phenomena: fluid mechanics and convective transport processes Particle motions in sheared suspensions xxii: Interactions of rigid spheres (experimental), Rheologica Acta, vol.6, issue.3, pp.1105-273, 1967.
DOI : 10.1017/CBO9780511800245

H. Fahs, G. Ovarlez, X. Chateau, R. Pasquino, and J. Vermant, Pair-particle trajectories in a shear flow of a bingham fluid Journal of Fluid Mechanics under review Hydrodynamic interactions between two equally sized spheres in viscoelastic fluids in shear flow, Langmuir, vol.29, issue.19, pp.5701-5713, 2013.