Solving the inverse mixed boundary value problem of lattice fluid dynamics

The authors consider the inverse mixed boundary value problem of lattice fluid dynamics, in which we need to find the shape of a part of the lattice profile through the velocity distribution given for this part and the velocity distribution on the rest known part of the lattice profile, which is streamlined by a potential flow of ideal frictionless liquid. The authors delve into the case when the required profile is close to the profile of a known lattice with a known flow complex potential. It is assumed that the known part of the lower surface of the profile, except for its plot adjacent to the nose profile, and the form of the rest of the investigated profile is sought, through the distribution of velocity as a function of the arc abscissa of the point of the required profile. We obtained formulas giving a solution to the problem. In the process of solving the problem, the lattice period and the flow velocity streamlining the lattice are determined.