Statistical description of a non-Brownian suspension

• Autorzy: Cichocki B. , Sadlej K.
• Konferencja: International Conference on Continuous and Discrete Modelling in Mechanics (05-09.09.2005 ; Warsaw ; Poland)
• Języki publikacji: EN

Abstrakty

EN

A suspension of non-Brownian particles in a constant, external force field is studied. Statistical description of the system, based on reduced distribution functions is found. A hierarchy of equations for the correlation functions, analogous to the BBGKY hierarchy known from the kinetic theory of gases, is derived and thoroughly analysed. As an example, the problem of deriving the two-particle correlation function for a sedimenting system is considered.

Słowa kluczowe

EN

Liouville equation; BBGKY hierarchy; non-Brownian suspension; sediment; hydrodynamics

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2006
• Tom: Vol. 58, nr 4-5
• Strony: 327--337
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Cichocki B.

autor

Sadlej K.

• Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681, Warsaw, Poland

Bibliografia

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• 2. G. K. BATCHELOR, Sedimentation in a dilute polidisperse system of interacting spheres. Part 1. General theory, J. Fluid Mech., 119, 379, 1982.
• 3. G. K. BATCHELOR, C. S. WEN, Sedimentation in a dilute disperse system of interacting spheres. Part 2. Numerical results, J. Fluid Mech., 124, 495, 1982.
• 4. P. MAZUR, D. BEDEAUX, Generalization of Faxen's theorem to non-steady motion of a sphere through an incompressible fluid in arbitrary flow, Physica, 76, 2, 235-246, 1974.
• 5. B. CICHOCKI, P. SZYMCZAK, Memory effects in collective dynamics of Brownian suspensions, J. Chem. Phys., 121, 3329, 2004.
• 6. R. BALESCU, Equilibrium and nonequilibrium statistical mechanics, Wiley, New York 1975.
• 7. B. CICHOCKI, R. B. JONES, R. KUTTEH, E. WAJNRYB, Friction and mobility for colloidal spheres in a Stokes flow near a boundary: The multipole method and applications, J. Chem. Phys., 112, 2548, 2000.
• 8. B. CICHOCKI, K. SADLEJ, Steady-state particle distribution of a dilute sedimenting suspension, Europhys. Lett., 72, 6, 1-7, 2005.
• 9. B. CICHOCKI, B. U. FELDERHOF, R. SCHITZ, Hydrodynamic interactions between two spherical particles, Phys. Chem. Hydrodynamics, 10, 383, 1988.
• 10. J. M. HAM, G. M. HOMSY, Hindered settling and hydrodynamic dispersion in quiescent sedimenting suspensions, Int. J. Multiphase Flow, 14, 533, 1988.
• 11. T.J. HANRATTY, A. BANDUKWALA, Fluidization and sedimentation of spherical particles, AlChE J., 3, 293-6, 1957.