An integral method for two-dimensional stokes flows past rigid obstacles in the half-plane

• Autorzy: Kohr M.
• Języki publikacji: EN

Abstrakty

EN

The problem of determining the slow viscous flow of a fluid past a cylinder with an arbitrary cross section, in a domain with boundary limited by a plane wall, is formulated as a system of Fredholm linear integral equations of the second kind. We next complete the double-layer potentials of the system with some terms having singularities located inside the obstacle and which satisfy the nonslip boundary condition on the wall. We next prove that this system of integral equations has a unique continuous solution when the boundary of the particle is a Lyapunov curve. Also, the numerical results are given for the case of a fixed circular obstacle. For the numerical solution we use a standard boundary element technique.

Słowa kluczowe

EN

Stokes flow; Green tensor; double-layer potentials; compact operators; Fredholm's alternatives

PL

hydromechanika

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: Applied Mechanics and Engineering
• Rocznik: 1998
• Tom: Vol. 3, no 1
• Strony: 5--24
• Opis fizyczny: Bibliogr. 10 poz., tab., wykr.

Twórcy

autor

Kohr M.

• "Babeş-Bolyai" University of Cluj-Napoca Faculty of Mathematics, 1 M. Kogălniceanu Str., 3400 Cluj-Napoca, ROMANIA