A functionally-analytic method for modelling axial-symmetric flows of ideal fluid

• Main Author: Plaksa Sergiy A.
• Format: Article
• Language: English
• Published: De Gruyter 2019-05-01
• Series: Demonstratio Mathematica
• Subjects: axial-symmetric potential flows; stokes flow function; analytic function; streamline; 35j75; 35j25
• Online Access: https://doi.org/10.1515/dema-2019-0018

We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a boundary value problem with respect to a steady streamline of the ideal incompressible fluid along an axial-symmetric body. We describe the solvability of the problem in terms of the singularities of the mentioned complex analytic function. The obtained results are illustrated by concrete examples of modelling of steady axial-symmetric flows.