Fundamental Singularities in a Two-Fluid Stokes Flow with a Plane Interface

10.30009/CJM.200303.0023

H. Y. Yu

Stokeslets ； Singularities ； Two-fluid flow ； Stokes flow

The Chinese Journal of Mechanics

19卷1期（2003 / 03 / 01）

263 - 270

英文

A modified image method is presented for obtaining the solutions of the fundamental singularities in the neighborhood of a plane interface between two semi-infinite, immiscible, and incompressible viscous fluids. The fundamental singularities considered are the stokeslet, rotlet, stresslet, stokes-doublet, source, and source-doublet. The Galerkin vector function representation introduced reduces the complexity of the expressions for the solutions. Moreover, the physical meaning of each solution is clearly identified by these new expressions.