A Method of Regularization of the Hypersingular Integral Contained in the Traction Boundary Integral Equation for the Stokes Flow Problem

1992 ◽  
pp. 75-89
Author(s):  
M. S. Ingber ◽  
J. Li
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Stokes Flow ◽  
Flow Problem ◽  
Boundary Integral ◽  
Hypersingular Integral ◽  
Method Of Regularization

Motion of a rigid particle in Stokes flow: a new second-kind boundary-integral equation formulation

1992 ◽  
Vol 238 ◽  
pp. 579-598 ◽  
Author(s):  
Nadav Liron ◽  
Efrath Barta
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Stokes Flow ◽  
Infinite Medium ◽  
Boundary Integral ◽  
Singular Boundary ◽  
Rigid Particle ◽  
Integral Equation Formulation ◽  
Mobility Problem ◽  
Singular Boundary Integral Equation

A new singular boundary-integral equation of the second kind is presented for the stresses on a rigid particle in motion in Stokes flow. The integral equation is particularly suitable for the mobility problem – when the forces and moments on the particle are given. A generalized Faxén law is also presented. The power of the method is demonstrated by easily reproducing known results as well as new ones, both analytically and numerically, in infinite medium as well as in confined regions.

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