ON THE APPLICATION OF RANDOM-POINT APPROXIMATION FOR IDENTIFICATION OF THE EFFECTIVE DIFFUSIVITY COEFFICIENT OF POLYDISPERSE SPHERICAL SUSPENSION

TitleON THE APPLICATION OF RANDOM-POINT APPROXIMATION FOR IDENTIFICATION OF THE EFFECTIVE DIFFUSIVITY COEFFICIENT OF POLYDISPERSE SPHERICAL SUSPENSION
Publication TypeJournal Article
Year of Publication2010
AuthorsCHOWDHURY, A, CHRISTOV, CI
Secondary TitleCommunications in Applied Analysis
Volume14
Issue3
Start Page355
Pagination372
Date Published08/2010
Type of Workscientific: mathematics
ISSN1083–2564
AMS60G55, 74Q15, 80A20
Abstract

The so-called Random-Point Approximation (RPA) is applied to identifying the effective diffusivity of a polydisperse spherical suspension. The RPA is based on truncated Volterra-Wiener Expansion (VWE) with basis function which is a random point function of perfect-disorder type. The VWE is applied consistently, and the equations for the kernels are derived. The contributions of the different kernels to the overall (effective) modulus are identified. An approximate model based on power-series expansion of the kernels with respect to the volume fraction c is developed. It is argued that the contribution of the pure binary interaction (two-sphere solution) is negligible for moderately concentrated suspensions. The issues connected with the application of the fourth-order kernel (one-sphere solution) are tackled, by evaluating some new kind of integrals.

URLhttp://www.acadsol.eu/en/articles/14/3/7.pdf
Short TitleEFFECTIVE CONDUCTIVITY OF POLYDISPERSE SPHERICAL SUSPENSIONS
Refereed DesignationRefereed
Full Text

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