Numerical Simulation of Convective Flows in a Thin Liquid Layer Under Conditions of Large Reynolds Numbers
Year: 2024
Type: article
Abstract: A mathematical model is proposed that describes the flow of a thin layer of liquid on an inclined, non-uniformly heated substrate. The Navier-Stokes system for a viscous incompressible liquid and relations representing generalized kinematic, dynamic and energy conditions at the interface for the case of evaporation are used as governing equations. The statement is given in a two-dimensional case for large Reynolds numbers. The problem is solved within the framework of the long-wave approximation. A parametric analysis of the problem is carried out, an evolutionary equation is obtained for finding the thickness of the liquid layer. An algorithm for a numerical solution is proposed for the problem of periodic flow of liquid down an inclined substrate. The influence of gravitational effects and the nature of heating of a solid substrate on the flow of a liquid layer is studied.
Author: E. V Laskovets
Institution: Altai State University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4405611066