Certain modifications of problems of flow past a body
Abstract
Two new formulations of exterior stationary boundary value problems for the NavierStokes 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 (A8428854 1270). Novosibirsk
 Pub Date:
 1983
 Bibcode:
 1983prmm.book..177P
 Keywords:

 Boundary Value Problems;
 Flow Theory;
 Free Boundaries;
 NavierStokes Equation;
 Steady Flow;
 Wakes;
 Asymptotic Methods;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer