Authors: Y. Aspa, G. Debenest, M. Quintard
Addresses: Institut de Mecanique des Fluides, Allee du Professeur Camille Soula, 31400 Toulouse, France. ' Institut de Mecanique des Fluides, Allee du Professeur Camille Soula, 31400 Toulouse, France. ' Institut de Mecanique des Fluides, Allee du Professeur Camille Soula, 31400 Toulouse, France
Abstract: Heterogeneous biofilms may arise because of non-uniform biofilm growth. When considering multiple-scale problems involving biofilms, a direct simulation of the flow in the heterogeneous biofilm is not tractable. This calls for an averaged description of the flow and transport in such heterogeneous biofilms. This paper presents a theoretical derivation of the transport equations in such structures. The averaged equations are obtained from an averaging procedure applied to the small-scale transport equations. The resulting macro-scale equations involve effective properties (permeability, dispersion, etc), which are connected to the small-scale structure through several closure problems. These closure problems were solved for simple representative unit cells of columnar and channelled biofilms, and numerical results are presented.
Keywords: biofilm modelling; heterogeneous biofilms; dispersion; volume averaging; transport equations.
International Journal of Environment and Waste Management, 2011 Vol.7 No.1/2, pp.112 - 131
Published online: 05 Dec 2010 *Full-text access for editors Access for subscribers Purchase this article Comment on this article