Work

On a Vlasov equation model for two-phase fluid flow

Year: 2024

Type: article

Abstract: We consider the problem of water–air two-phase flow, which occurs during water aeration by air injection. We present and analyze a new model incorporating a nonlocal boundary condition, integrating the effect of the air phase through a source term applied to the water phase. This term is described using a kinetic approach based on the Vlasov equation. A numerical study is conducted, and numerical experiments are presented to demonstrate the effectiveness of the presented model

Source: Boundary Value Problems

DOI: 10.1186/s13661-024-01932-5

Author: Mohamed Abdelwahed

Institution: King Saud University

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: King Saud University