Phase-field-based lattice Boltzmann method for two-phase flows with interfacial mass or heat transfer
Baihui Chen1, Chengjie Zhan1, Zhenhua Chai1
1School of Mathematics and Statistics, <a href="https://ror.org/00p991c53">Huazhong University of Science and Technology</a>, Wuhan, 430074, China; Institute of Interdisciplinary Research for Mathematics and Applied Science, <a href="https://ror.org/00p991c53">Huazhong University of Science and Technology</a>, Wuhan 430074, China; and Hubei Key Laboratory of Engineering Modeling and Scientific Computing, <a href="https://ror.org/00p991c53">Huazhong University of Science and Technology</a>, Wuhan 430074, China.
Abstract:
In this work, we develop a phase-field-based lattice Boltzmann (LB) method for a two-scalar model of the two-phase flows with interfacial mass or heat transfer. Through the Chapman-Enskog analysis, we show that the present LB method can correctly recover the governing equations for phase field, flow field, and concentration or temperature field. In particular, to derive the two-scalar equations for the mass or heat transfer, we propose a new LB model with an auxiliary source distribution function to describe the extra flux terms, and the discretizations of some derivative terms can be avoided. The accuracy and efficiency of the present LB method are also tested through several benchmark problems, and the influence of mass or heat transfer on the fluid viscosity is further considered by introducing an exponential relation. The numerical results show that the present LB method is suitable for the two-phase flows with interfacial mass or heat transfer.
More Related Videos
Related Concept Videos
Steady, Laminar Flow Between Parallel Plates
Distribution of Molecular Speeds
Boundary Layer Characteristics
Steady Flow of a Fluid Stream
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
Couette Flow
Eulerian and Lagrangian Flow Descriptions
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...


