A boundary integral method for the numerical computation of the forces exerted on a sphere in viscous incompressible flows near a plane wall
This paper is based on the theoretical results [the first author, Math. Methods Appl. Sci 8, 23-40 (1986; Zbl 0616.76032) and: Über die langsame Bewegung eines starren Körpers in einer zähen inkompressiblen Flüssigkeit längs einer ebenen Wand. Thesis, Techn. Hochschule Darmstadt (1983)] on the existence and construction of asymptotic expansions for the solution of the Navier Stokes problem with small Reynolds numbers. Examples on slow uniform flows of viscous, incompressible fluid past a rigid sphere near a plane wall are considered. The drag and lateral forces exerted on the sphere by the fluid are completed. The numerical results are compared with existing theoretical and experimental data. Boundary element method was used and proved to be useful.
scientific article; zbMATH DE number 4014274
scientific article