A CLASS OF EXACT SOLUTIONS WITH SPATIAL ACCELERATION FOR THE DESCRIPTION OF VISCOUS INCOMPRESSIBLE FLUID FLOWS IN THE FIELD OF MASS FORCES

摘要

The article presents a new class of exact solutions to the system of Navier–Stokes equations, which allows one to take into account the nonlinear distribution of the pressure field and the influence of external volumetric forces, as well as the possibility of horizontal fluid outflow/inflow when modeling its vertical motion. This class is a generalization of the Lin–Sidorov–Aristov class, which assumes the linear distribution of two projections of the fluid flow velocity vector along a part of the coordinates and the independence of the third projection of the velocity vector from these coordinates.