, Transport in Porous Media 15: 183-196,1994. 183 © 1994 Kluwer Academic Publishers. Printed in the Netherlands. Transport in Ordered and Disordered Porous Media V: Geometrical Results for Two-Dimensional Systems MICHEL QUINTARD 1 and STEPHEN WHITAKER2 1 Laboratoire Energitique et Phenomenes de Transfert, Unite de Recherche Associee au CNRS, URA 873, Esplanade des Arts et Metiers, 33405 Talence Cedex, France 2 Department of Chemical Engineering, University of California, Davis, CA 95616 USA (Received: 19 July 1993) Abstract. In this paper we continue the geometrical studies of computer generated two-phase systems that were presented in Part IV. In order to reduce the computational time associated with the previous three-dimensional studies, the calculations presented in this work are restricted to two dimensions. This allows us to explore more thoroughly the influence of the size of the averaging volume and to learn something about the use of a non-representative region in the determination of averaged quantities. Nomenclature Roman Letters A,617 interfacial area of the {3-(I interface associated with the local closure problem, m 2 • ai i = 1, 2, gaussian probability distribution used to locate the position of particles. m mv n,617 unit tensor. characteristic length for the (I-phase particles, m. reference characteristic length for the (I-phase particles, m. characteristic length for the {3-phase, m_ i = 1, 2, 3 lattice vectors, m. convolution product weighting function_ special convolution product weighting function associated with a unit cell. i = 1, 2 integers used to locate the position of particles. unit normal vector pointing from the {3-phase toward the (I-phase. position vector locating the centroid of a particle, m. gaussian probability distribution used to determine the size of a particle, m. ro characteristic length of an averaging region, m. V averaging volume, m 3 .