Vízügyi Közlemények, 1970 (52. évfolyam)
4. füzet - Rövidebb közlemények és beszámolók
F. I. Franki [17, 18] is already a theoretically exact formulation of the flow of a two-phase fluid and these offer the possibility for determining the suspension work in a two-phase fluid consisting of solid and fluid components. This approach is followed by V. G. Sanoyan [11] who wrote the equations of motion for the two phases into the following form: ( » , » Ô x k\ \ôt ^ SvJ 3 "V _ k = 1 <5 Рис , с — Q с х дх к I Л 3 А и, 3 Л Г)., \ôt к% à х к ~ ôx k where q, о с = the densities of the solid and fluid phases, respectively, Vi •= the instantaneous velocity in the x t direction (i = 1,2, 3), с — a special, discontinuous function describing the variation of sediment concentration within an elementary volume, and which assumes values from 0 to 1, p, k — the tensor of instantaneous stresses developed within the fluid and solid phases, X; -- the inertia forces acting on unit mass, while the first terms on the right-hand side of the equations describe the mutual influences between the fluid and solid phases. By averaging Eq. (1) over the elementary volumes occupied by the solid and fluid phases and by resolving concentration and pressures into instantaneous (pulsational) and mean values according to Reynolds, the work of suspension is obtained as A c = v c a> c' Ö P*' ß + R a' v c a' (2) ô Xß where (a, ß — 1, 2, 3) and the vector R represents the resisting force due to the presence of the solid particles, and tending to retard the movement of the fluid. In solving Eq. (2), V. G. Sanoyan departs from the assumption that the work of suspension depends on the magnitude of the pulsational energy of unit mass, and on the fall velocity (w ) of the particles. Adopting after A. N. Kolgomorov and G. I. Barenblatt the quantities I and со describing the pulsational energy and accepting the working hypothesis of uniform and statistically steady flow, for the direction x coinciding with the direction of flow and parallel with the bottom 71
