Title: Unsteady flows in a capillary lined with a thin porous surface layer by method of fundamental solutions

Authors: P.H. Wen, W. Wang, Y.W. Liu

Addresses: School of Engineering and Material Sciences, Queen Mary, University of London, E1 4NS, UK. ' School of Engineering and Material Sciences, Queen Mary, University of London, E1 4NS, UK. ' College of Mechanics and Aerospace, Hunan University, Changsha 410082, PR China

Abstract: This paper studies unsteady viscous flows in a capillary using the method of fundamental solutions. The effect on fluid velocity of a thin porous surface layer on the wall of the tube is modelled using a slip boundary condition. Laplace transform is used to handle the time variables in the problem. Fundamental solutions of point force in the transformed domain and in the time domain are derived. This study extends our previous work by developing a sophisticated boundary singularity scheme based on the Method of Fundamental Solution (MFS).

Keywords: Stokes flow; boundary singularity method; porous layers; slip boundary condition; unsteady viscous flows; blood cells; capillaries; surface layers; fluid velocity; method of fundamental solutions; point force.

DOI: 10.1504/IJTAMM.2009.022473

International Journal of Theoretical and Applied Multiscale Mechanics, 2009 Vol.1 No.1, pp.86 - 106

Available online: 08 Jan 2009 *

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