Transport properties of multi-component fluids and of suspensions

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This report describes work performed under grant No. DE-FG03-88ER13911 for the period June 15, 1988 through June 14, 1989. During this time, significant progress was made in the derivation of the fundamental equations describing suspensions and multicomponent fluid flow. We first considered a system consisting of spherical heavy (Brownian) particles immersed in a bath of spherical particles. The deviations of the bath from equilibrium are due to the nonequilibrium motions of the Brownian particles. The densities of the bath and of a Brownian particle are similar. An expansion in powers of the mass ratio, yields a Fokker-Planck equation for the ... continued below

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Pages: (38 p)

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Oppenheim, I. & McBride, J. September 15, 1989.

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Description

This report describes work performed under grant No. DE-FG03-88ER13911 for the period June 15, 1988 through June 14, 1989. During this time, significant progress was made in the derivation of the fundamental equations describing suspensions and multicomponent fluid flow. We first considered a system consisting of spherical heavy (Brownian) particles immersed in a bath of spherical particles. The deviations of the bath from equilibrium are due to the nonequilibrium motions of the Brownian particles. The densities of the bath and of a Brownian particle are similar. An expansion in powers of the mass ratio, yields a Fokker-Planck equation for the distribution function of the Brownian particles, including the effects of direct and hydrodynamic interactions amongst these particles. The effect of the Brownian particle motion on the bath properties has been described. The conditions under which a closed equation for the coordinate space distribution function, can be obtained have been investigated and a Smoluchowski equation for this quantity has been derived.

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Pages: (38 p)

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OSTI; NTIS; GPO Dep.

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  • Other: DE92012574
  • Report No.: DOE/ER/13911-T2
  • Report No.: SAIC--89/1570-APPAT-115
  • Grant Number: FG03-88ER13911
  • DOI: 10.2172/5419193 | External Link
  • Office of Scientific & Technical Information Report Number: 5419193
  • Archival Resource Key: ark:/67531/metadc1068313

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Office of Scientific & Technical Information Technical Reports

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  • September 15, 1989

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

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  • March 5, 2018, 6:17 p.m.

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Oppenheim, I. & McBride, J. Transport properties of multi-component fluids and of suspensions, report, September 15, 1989; United States. (digital.library.unt.edu/ark:/67531/metadc1068313/: accessed September 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.