Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method. (July 2016)

• Record Type: Journal Article
• Authors: Mardanov, R.F.; Dunnett, S.J.; Zaripov, S.K.
• Is Part Of: Engineering analysis with boundary elements. Volume 68(2016:Jul.)
• Page Start: 54
• Page End: 62
• Publication Date: 2016-07
• Subjects: Porous cylinder -- Stokes flow -- Darcy model -- Boundary element method; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2016.03.015
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The problem of viscous incompressible flow past a periodic array of porous cylinders (a model of flow in an aerosol filter) is solved. The approximate periodic cell model of Kuwabara is used to formulate the fluid flow problem. The Stokes flow model is then adopted to model the flow outside the cylinder and the Darcy law of drag is applied to find the filtration velocity field inside the porous cylinder. The boundary value problems for biharmonic and Laplace equations for stream functions outside and inside the porous cylinder are solved using a boundary elements method. A good agreement of numerical and analytical models is shown. The analytical formulas for the integrals in the expressions for the stream function, vorticity and Cartesian velocity components are obtained. It is shown that the use of analytical integration gives considerable advantage in computing time.