Certain modifications of problems of flow past a body
Abstract
Two new formulations of exterior stationary boundary value problems for the Navier-Stokes equations are examined. In the first of these, the flow region is bounded by the surface of the body and by a free surface that does not intersect the former surface; and the fluid is acted upon by a gravity force. In the second problem there is no free surface; the fluid is acted upon by a localized field of mass forces prescribed in such a way that the total force of body drag is equal to zero. A significant effect of viscosity on the asymptotics of motion at large distances from the body is observed in both cases. This effect is most intense in paraboloidal regions behind a body with axis parallel to the velocity vector at infinity.
- Publication:
-
IN: Problems in mathematics and mechanics (A84-28854 12-70). Novosibirsk
- Pub Date:
- 1983
- Bibcode:
- 1983prmm.book..177P
- Keywords:
-
- Boundary Value Problems;
- Flow Theory;
- Free Boundaries;
- Navier-Stokes Equation;
- Steady Flow;
- Wakes;
- Asymptotic Methods;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer