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.
International Journal of Theoretical and Applied Multiscale Mechanics, 2009 Vol.1 No.1, pp.86 - 106
Published online: 08 Jan 2009 *Full-text access for editors Access for subscribers Purchase this article Comment on this article