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Numerical analysis of the effect of surfactants on a circular liquid lens (II)

Kohr M., Lazar I.

Applied Mechanics and Engineering

1999

Vol. 4, no 3

589-608

The spectrum of a two-dimensional flow, due to the presence of a circular liquid obstacle in a liquid layer, is investigated by using a boundary integral equation method.

Stokes flow past a cylindrical interface and a rigid obstacle in a tunnel

Kohr M.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

1998

z. 22 [170]

79-99

A direct integral equation method for the creeping flow of a viscous incompressible fluid in the presence of a solid particle and a cylindrical interface is developed. The rigid obstacle and the cylindrical interface are immersed in another fluid, which is located in a domain bounded by two rigid walls. The integral formulation uses a combination between single-layer and the double-layer potentials, with the densities defined on the boundary of the rigid obstacle and the interface, respectively. The problem is reduced to the study of the existence and the uniqueness for a second-kind integral system of Fredholm equations.