Abstract
It is shown that in a flow with a nonuniform vorticity, the concentration field of the suspension is also nonuniform. Stationary Couette and Poiseuille flows in a flat gap and in a capillary are examined in detail.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
A. Karnis, H. L. Goldsmith, and S. G. Mason, “The kinetics of flowing dispersions. 1. Concentrated suspensions of rigid particles,” J. Colloid Interface Sci.,22, No. 6, 531–553 (1966).
A. Karnis, H. L. Goldsmith, and S. G. Mason, “The flow of suspension through tubes. V. Inertial effects,” Can. J. Chem. Eng.,44, No. 4, 181–193 (1966).
R. G. Cox and S. G. Mason, “Suspended particles in fluid flow through tubes,” in: Annual Review of Fluid Mechanics, Palo Alto, Ca. (1971), Vol. 3.
G. Segre and A. Silberberg, “Behavior of macroscopic rigid spheres in Poiseuille flow. Parts I and II,” J. Fluid. Mech.,14, Part 1, 115–157 (1962).
H. Brenner, “Dynamics of neutrally buoyant particles in low Reynolds number flows,” in: Progress in Heat and Mass Transfer, Vol. 6, Pergamon Press, New York (1972), pp. 509–574.
V. N. Pokrovskii, “Theory of flow of polymer media,” Inzh.-Fiz. Zh.,10, No. 3, 337–340 (1966).
Yu. A. Buevich and A, I. Leonov, “Model of stationary motions of suspensions,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 23–35 (1968).
A. S. Popel, “Hydrodynamics of suspensions,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 23–40 (1969).
A. S. Popel', S. A. Regirer, and Shadrina, “Equations of kinetics of aggregating processes in suspensions,” Prikl. Mat. Mekh.,39, No. 1, 130–143 (1975).
Yu. A. Buevich and V. G. Markov, “Continuum mechanics of monodispersed suspensions. Integral and differential conservation laws,” Prikl. Mat. Mekh.,37, No. 5, 882–894 (1973).
Yu. A. Buyevich, “Kontinuumsmechanik konzentrierter Suspensionen,” Z. Angew. Math. Mech.,56, No. 10, T379–T388 (1976).
Yu. A. Buyevich and I. N. Shchelchkova, “Flow of dense suspensions,” Progr. Aerospace Sci.,18, No. 2, 121–150 (1978).
L. I. Sedov, Mechanics of a Continuous Medium [in Russian], Vol. 1, Nauka, Moscow (1970).
Yu. A. Buevich and I. N. Shchelkova, “Rheological properties of uniform finely dispersed suspensions. Stationary flows,” Inzh.-Fiz. Zh.,33, No. 5, 872–879 (1977).
B. S. Endler, “Effective viscosity and thermal conductivity of a dispersed medium,” Inzh.-Fiz. Zh.,37, No. 1, 110–117 (1979).
Yu. A. Buyevich and I. N. Shchelchkova, “On the flow of magnetic fluids,” Arch. Mech. Stosow.,27, No. 4, 577–589 (1975).
E. F. Afanas'ev and V. N. Nikolaevskii, “Construction of asymmetrical hydrodynamics on suspensions with rotating solid particles,” in: Problems of Hydrodynamics and Mechanics of a Continuous Medium [in Russian], Nauka, Moscow (1969), pp. 17–24.
V. N. Nikolaevskii, “Stress tensor and averaging in mechanics of continuous media,” Prikl. Mat Mekh.,39, 374–379 (1975).
H. Immich, “Zweiphasen-kontinuumstheorie einer Suspension starren, kugelförmigen Teilchen unter Berücksichtigung der Teilchenrotation. Teils I und II,” Z. Angew. Math. Mech.,60, No. 2, 99–107 (1980);60, No. 3, 153–160 (1980).
V. N. Nikolaevskii, “Short note on the space averaging in continuum mechanics,” Int. J. Multiphase Flow,6, No. 2, 375–378 (1980).
R. I. Nigmatulin, Comments to “Short note on the space averaging in continuum mechanics” by V. N. Nikolaevskii, Int. J. Multiphase Flow,6, No. 2, 379–382 (1980).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 44, No. 4, pp. 591–601, April, 1983.
Rights and permissions
About this article
Cite this article
Buevich, Y.A. Formation of structure in a flow of a suspension of neutrally floating particles. Journal of Engineering Physics 44, 399–407 (1983). https://doi.org/10.1007/BF00825189
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00825189