Analysis of Henry’s law and a unified lattice Boltzmann equation for conjugate mass transfer problem
| Autor: | Chuanshan Dai, J.H. Lu, Haiyan Lei |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Mass flux Asymptotic analysis Applied Mathematics General Chemical Engineering Mathematical analysis Mass diffusivity Lattice Boltzmann methods 02 engineering and technology General Chemistry Nonlinear Sciences::Cellular Automata and Lattice Gases 021001 nanoscience & nanotechnology Industrial and Manufacturing Engineering Henry's law 020401 chemical engineering Mass transfer 0204 chemical engineering 0210 nano-technology Constant (mathematics) Numerical stability |
| Zdroj: | Chemical Engineering Science. 199:319-331 |
| ISSN: | 0009-2509 |
| DOI: | 10.1016/j.ces.2019.01.021 |
| Popis: | The most challenging problem for simulating conjugate mass transfer problem is the variable concentration jump described by the double film theory at the phase interface. In the present paper, the physical mechanism of Henry’s law is analyzed, and it is found that Henry’s law can be expressed as a relation between two constant weight coefficients in lattice Boltzmann method (LBM). As a consequence, a unified multi-relaxation-time (MRT) lattice Boltzmann equation (LBE) for conjugate mass transfer is proposed. The asymptotic analysis proves that the interface conditions, including the concentration jump determined by the double film theory and mass flux continuity, can be ensured with second-order accuracy. Five test cases containing both transient and steady conjugate mass transfer problems with straight or curved interfaces are calculated to validate the present method. The results show that the proposed MRT LBE has both simplicity and good accuracy. It is capable of simulating conjugate mass transfer at both steady and transient periods, with a stationary or moving interface. Especially, it has a good numerical stability at large distribution coefficient and diffusivity coefficient ratio. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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