|
References
|
|
[1] |
Williams, Ph. S., Koch, Th., and Giddings, J. C., “Characterization of Near-Wall Hydrodynamic Lift Forces Using Sedimentation Field-Flow Fractionation”, Chem. Eng. Commun., 111:1 (1992), 121–147 |
[2] |
Pasol, L., Martin, M., Ekiel-Jeżewska, M. L., Wajnryb, E., Bławzdziewicz, J., and Feuillebois, F., “Motion of Sphere Parallel to Plane Walls in a Poiseuille Flow. Application to Field-Flow Fractionation and Hydrodynamic Chromatography”, Chem. Eng. Sci., 66:18 (2011), 4078–4089 |
[3] |
Beebe, D. J., Mensing, G. A., and Walker, G. M., “Physics and Applications of Microfluidics in Biology”, Annu. Rev. Biomed. Eng., 4:1 (2002), 261–286 |
[4] |
Priezjev, N. V., Darhuber, A. A., and Troian, S. M., “Slip Behavior in Liquid Films on Surfaces of Patterned Wettability: Comparison between Continuum and Molecular Dynamics Simulations”, Phys. Rev. E, 71:4 (2005), 041608, 11 pp. |
[5] |
Feuillebois, F., “Some Theoretical Results for the Motion of Solid Spherical Particles in a Viscous Fluid”, Multiphase Sci. Technol., 4:1–4 (1989), 583–789 |
[6] |
O'Neill, M. E., “A Slow Motion of Viscous Liquid Caused by a Slowly Moving Solid Sphere: An Addendum”, Mathematika, 14:2 (1967), 170–172 |
[7] |
O'Neill, M. E., “A Slow Motion of Viscous Liquid Caused by a Slowly Moving Solid Sphere”, Mathematika, 11:1 (1964), 67–74 |
[8] |
Goldman, A. J., Cox, R. G., and Brenner, H., “Slow Viscous Motion of a Sphere Parallel to a Plane Wall: 1. Motion through a Quiescent Fluid”, Chem. Eng. Sci., 22:4 (1967), 637–651 |
[9] |
Chaoui, M. and Feuillebois, F., “Creeping Flow around a Sphere in a Shear Flow Close to a Wall”, Q. J. Mech. Appl. Math., 56:3 (2003), 381–410 |
[10] |
Navier, C. L. M. H., “Mémoire sur les lois du movement des fluids”, Mém. Acad. Sci., 6 (1827), 389–440 |
[11] |
Maxwell, J. C., “On Stresses in Rarified Gases Arising Inequalities of Temperature”, Philos. Trans. Royal Soc., 170 (1879), 231–256 |
[12] |
David, A. M. J., Kezirian, M. T., and Brenner, H., “On the Stokes – Einstein Model of Surface Diffusion along Solid Surfaces: Slip Boundary Conditions”, J. Colloid Interface Sci., 165:1 (1994), 129–140 |
[13] |
Elasmi, L., “Singularity Method for Stokes with Slip Boundary Condition”, J. Appl. Math., 73:5 (2008), 724–739 |
[14] |
Ghalya, N., Hydrodynamic Interactions between a Solid Particle and a Smooth Wall with Slip Condition of Navier, PhD Thesis, École Polytechnique, Palaiseau, 2012 |
[15] |
Assoudi, R., Lamzoud, K., and Chaoui, M., “Influence of the Wall Roughness on a Linear Shear Flow”, FME Trans., 46:2 (2019), 272–277 |
[16] |
Falade, A. and Brenner, H., “First-Order Wall Curvature Effects upon the Stokes Resistance of a Spherical Particle Moving in Close Proximity to a Solid Wall”, J. Fluid Mech., 193 (1988), 533–568 |
[17] |
Smart, J. R. and Leighton, D. T., Jr., “Measurement of the Hydrodynamic Surface Roughness of Noncolloidal Spheres”, Phys. Fluid, 1:1 (1989), 52–60 |
[18] |
Smart, J. R., Beimfohr, S., and Leighton, D. T., Jr., “Measurement of the Translational and Rotational Velocities of a Noncolloidal Sphere Rolling Down a Smooth Inclined Plane at Low Reynolds Number”, Phys. Fluid, 5:1 (1993), 13–24 |
[19] |
Lecoq, N., Anthore, R., Cichocki, B., Szymczak, P., and Feuillebois, F., “Drag Force on a Sphere Moving Towards a Corrugated Wall”, J. Fluid Mech., 513 (2004), 247–264 |
[20] |
Lecoq, N., “Boundary Conditions for Creeping Flow along Periodic or Random Rough Surfaces, Experimental and Theoretical Results”, J. Phys. Conf. Ser., 392:1 (2012), 012010, 19 pp. |
[21] |
Assoudi, R., Chaoui, M., Feuillebois, F., and Allouche, H., “Motion of a Spherical Particle along a Rough Wall in a Shear Flow”, Z. Angew. Math. Phys., 69:5 (2018), Art. 112, 30 pp. |
[22] |
Pasol, L., Chaoui, M., Yahiaoui, S., and Feuillebois, F., “Analytical Solution for a Spherical Particle near a Wall in Axisymmetrical Polynomial Creeping Flows”, Phys. Fluids, 17:7 (2005), 073602, 13 pp. |
[23] |
Bernner, H., “The Slow Motion of a Sphere through a Viscous Fluid towards a Plane Surface”, Chem. Eng. Sci., 16:3–4 (1961), 242–251 |