4 Equilibrium Theory of Bidensity Particle-Laden Flows on an Incline
97
19. Phillips, R.J., Armstrong, R.C., Brown, R.A., Graham, A.L., Abbott, J.R.: A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Phys.
Fluids 4, 30–40 (1992)
20. Ramachandran, A., Leighton, D.T.: Viscous resuspension in a tube: the impact of secondary
flows resulting from second normal stress differences. Phys. Fluids 19(5), 053301 (2007)
21. Ramachandran, A., Leighton, D.T.: The effect of gravity on the meniscus accumulation phenomenon in a tube. J. Rheol. 51, 1073–1098 (2007)
22. Revay, J.M., Higdon, J.J.L.: Numerical simulation of polydisperse sedimentation: equal-sized
spheres. J. Fluid Mech. 243, 15–32 (1992)
23. Sierou, A., Brady, J.F.: Shear-induced self-diffusion in non-colloidal suspensions. J. Fluid
Mech. 506, 285–314 (2004)
24. Timberlake, B.D., Morris, J.F.: Particle migration and free-surface topography in inclined plane
flow of a suspension. J. Fluid Mech. 538, 309–341 (2005)
25. Tripathi, A., Acrivos, A.: Viscous resuspension in a bidensity suspension. Int. J. Multiph. Flow
25(1), 1–14 (1999)
26. Wang, L., Bertozzi, A.L.: Shock solutions for high concentration particle-laden thin films.
SIAM J. Appl. Math. 74, 322–344 (2014)
97
19. Phillips, R.J., Armstrong, R.C., Brown, R.A., Graham, A.L., Abbott, J.R.: A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Phys.
Fluids 4, 30–40 (1992)
20. Ramachandran, A., Leighton, D.T.: Viscous resuspension in a tube: the impact of secondary
flows resulting from second normal stress differences. Phys. Fluids 19(5), 053301 (2007)
21. Ramachandran, A., Leighton, D.T.: The effect of gravity on the meniscus accumulation phenomenon in a tube. J. Rheol. 51, 1073–1098 (2007)
22. Revay, J.M., Higdon, J.J.L.: Numerical simulation of polydisperse sedimentation: equal-sized
spheres. J. Fluid Mech. 243, 15–32 (1992)
23. Sierou, A., Brady, J.F.: Shear-induced self-diffusion in non-colloidal suspensions. J. Fluid
Mech. 506, 285–314 (2004)
24. Timberlake, B.D., Morris, J.F.: Particle migration and free-surface topography in inclined plane
flow of a suspension. J. Fluid Mech. 538, 309–341 (2005)
25. Tripathi, A., Acrivos, A.: Viscous resuspension in a bidensity suspension. Int. J. Multiph. Flow
25(1), 1–14 (1999)
26. Wang, L., Bertozzi, A.L.: Shock solutions for high concentration particle-laden thin films.
SIAM J. Appl. Math. 74, 322–344 (2014)