On Closure Modelling Of Volume Averaged
Equations For Flow Through Two-dimensional
Arrays Of Squares
Author(s)
C.A. Lloyd, J.P. Du Plessis & B.M. Halvorsen
Abstract
The closure of volume averaged equations for creep flow through two-dimensional
arrays of squares is discussed. Use is made of a representative unit cell for
the approximation of the stresses at fluid-solid interfaces and the resulting equations
are applicable to fluid discharge through regular arrays or isotropic ensembles
of squares. Subdivision of the pore space into volumes where different physical
effects predominate, forms an important framework for the assumptions of the
analyticalmodel. This also leads to the definition of a streamline tortuosity in terms
of the said sub-volumes. Numerical prediction of the flow within a representative
unit cell was carried out to determine the
Keywords
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