STOKES FLOW THROUGH POROUS CYLINDRICAL PARTICLE-IN-CELL ENCLOSING A SOLID CYLINDRICAL CORE

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Shukla*, P. (2013). STOKES FLOW THROUGH POROUS CYLINDRICAL PARTICLE-IN-CELL ENCLOSING A SOLID CYLINDRICAL CORE. Asian Journal of Current Engineering and Maths, 2(1). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/148
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Abstract

This paper concern an axisymmetric incompressible Stokes flow past a swarm of porous cylindrical particles enclosing a solid cylindrical core, using cylinder-in-cell model. The flow has been divided into two regions. The region I is the region outside the porous cylindrical particle enclosed by a hypothetical cylindrical cell in which the flow is governed by Stokes equation. However, region II is the porous cylinder enclosing a solid cylindrical core and flow through which is governed by Brinkman equation. This model is in resemblance with solid particles having a coating of porous layers due to adsorption of polymers during the membrane filtration process. Continuity of velocity components, continuity of normal and tangential stress at the permeable boundary are used. The no slip condition at solid cylindrical core has been employed. On the hypothetical cell the uniform velocity and Mehta-Morse boundary condition is used.  Some previous results for drag force have been verified. Variation of the drag coefficient with permeability parameter and particle volume fraction  has been studied and some new results are reported. The flow patterns through both the regions have been analyzed by stream lines.. Effect of particle volume fraction  on flow pattern is also discussed. In our opinion, these results will have significant contributions in analyzing the hydrodynamic permeability of a membrane and also in calculating the specific resistance of aggregated colloidal cake layers in membrane filtration process which is used for the wastewater treatment.

 

MSC (2000): 76D07

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