Моделювання потоку в’язкої рідини у прямокутному каналі з легкопроникною шорсткістю методом R-функцій

Abstract

This work is devoted to the mathematical modeling of viscous fluid flow in a rectangular pipe with permeable wall roughness. The study is based on the Rfunctions structural method, which allows the construction of approximate analytical solutions to boundary value problems in complex domains. A mathematical model describing the velocity distribution of an incompressible viscous fluid in a channel with rough permeable walls is considered. The R-functions method is applied to construct the structure of the solution that automatically satisfies the boundary conditions. Numerical simulations are carried out to analyze the influence of wall permeability on the velocity distribution in the pipe cross-section. The results confirm the efficiency of the proposed approach