A Numerical Model for Flows in Porous and Open Domains Coupled at the Interface by Stress J.pdfVIP

A Numerical Model for Flows in Porous and Open Domains Coupled at the Interface by Stress Jump 1, * 1 1 1, 2 P. Yu , T.S. Lee , Y. Zeng , and H.T. Low 1Department of Mechanical Engineering 2Division of Bioengineering, National University of Singapore, Singapore 117576 * Email: g0202355@.sg or xiaofishnus@ Abstract: A numerical model was developed for flows involving an interface between a homogenous fluid and a porous medium. The numerical model is based on the finite volume method with body-fitted and multi-block grids. The Darcy-Forchheimer extended model is used to govern the flow in the porous medium region. At its interface, a shear stress jump was imposed, together with a continuity of normal stress. Furthermore, the effect of the jump condition on the diffusive flux is considered, additional to that on the convective part which has been usually considered. Numerical results of three flow configurations are presented. The modeling is suitable for problems which have complex interface boundary conditions coupling between two flow domains. Key Words: Interfacial condition, Stress jump, Porous medium, Block-structured grids 2 INTRODUCTION The study of flow systems which compose of a porous medium and a homogenous fluid has attracted much attention since they occur in a wide range of the industrial and environmental applications. Examples of practical applications are: flow past porous scaffolds in bioreactors, drying process, electronic cooli