Abstract
The motion of a spherical particle through a Brinkman medium in a circular cylindrical tube is numerically studied by a finite element method to examine the effect of the Brinkman medium on the free motion of a sphere in a tube, and the diffusive and convective transport of a spherical solute across a cylindrical pore. For this purpose, numerical results for the drag and torque exerted on a sphere, which is either translating, rotating, or embedded in a medium flow, are presented as functions of the radius ratio of the sphere to the tube, the radial position of the sphere, and the nondimensional parameter α(=R p K/μ ) , in which R p is the radius of the tube, μ is the viscosity and K is the hydraulic resistivity of the Brinkman medium. The present results confirm the validity of previous approximate estimates of the transport coefficients in a Newtonian fluid, and suggest a limitation of the continuum medium approach for evaluating the reflection coefficient of the solute transport through fibre matrix.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
