Existence and uniqueness result for Stokes flows in a half-plane

• Autorzy: Kohr M.
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the study of the two-dimensional Stokes flow past a smooth obstacle near a plane wall. Using the bonduary integral formulation, the flow is represented in terms of a combined distribution of a single-laver and a double-layer potentials of Green's functions over the bonduary of the obstacle. The problem is formulated as a set of Fredholm integral equations of the second kind for the density of the potentials. The existence and uniqueness results of the solution are obtained. Numerical results are presented in the case of a rigid circular obstacle moving parallel or normal to the plane wall.

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 1998
• Tom: Vol. 50, nr 4
• Strony: 791--803
• Opis fizyczny: Bibliogr. 18 poz.,Rys., wykr.,

Twórcy

autor

Kohr M.

• Babes-Bolyai University Faculty of Mathematics, 1, M. Kogalniceanu Str. 3400 Cluj-Napoca, Romania