An interface treatment for conjugate heat and mass transfer in the lattice Boltzmann equation (LBE) method is proposed based on our previously proposed second-order accurate Dirichlet and Neumann boundary schemes. The continuity of temperature (concentration) and its flux at the interface for heat (mass) transfer is intrinsically satisfied without iterative computations, and the interfacial temperature (concentration) and their fluxes are conveniently obtained from the microscopic distribution functions without finite-difference calculations. The present treatment takes into account the local geometry of the interface so that it can be directly applied to curved interface problems such as conjugate heat and mass transfer in porous media. For straight interfaces or curved interfaces with no tangential gradient, the coupling between the interfacial fluxes along the discrete lattice velocity directions is eliminated and thus the proposed interface schemes can be greatly simplified. Several numerical tests are conducted to verify the applicability and accuracy of the proposed conjugate interface treatment, including: (i) steady convection-diffusion in a channel containing two different fluids, (ii) unsteady convection-diffusion in the channel, and (iii) steady heat conduction inside a circular domain with two different solid materials. The accuracy and order-of-convergence of the simulated interior temperature (concentration) field, the interfacial temperature (concentration) and heat (mass) flux are examined in detail and compared with those obtained from the “half lattice division” treatment in the literature. The present analysis and numerical results show that the half lattice division scheme is second-order accurate only when the interface is fixed at the center of the lattice links while the present treatment preserves second-order accuracy for arbitrary link fractions. For curved interfaces, the present treatment yields second-order accurate interior and interfacial temperatures (concentrations) and first-order accurate interfacial heat (mass) flux. An increase of order-of-convergence by one degree is obtained for each of these three quantities compared with the half lattice division scheme.
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ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels collocated with the ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting
August 3–7, 2014
Chicago, Illinois, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
978-0-7918-4627-8
PROCEEDINGS PAPER
Conjugate Interface Heat and Mass Transfer Simulation With the Lattice Boltzmann Equation Method
Chen Chen,
Chen Chen
University of Florida, Gainesville, FL
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Renwei Mei,
Renwei Mei
University of Florida, Gainesville, FL
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James F. Klausner
James F. Klausner
University of Florida, Gainesville, FL
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Like Li
University of Florida, Gainesville, FL
Chen Chen
University of Florida, Gainesville, FL
Renwei Mei
University of Florida, Gainesville, FL
James F. Klausner
University of Florida, Gainesville, FL
Paper No:
ICNMM2014-21864, V001T12A012; 17 pages
Published Online:
December 17, 2014
Citation
Li, L, Chen, C, Mei, R, & Klausner, JF. "Conjugate Interface Heat and Mass Transfer Simulation With the Lattice Boltzmann Equation Method." Proceedings of the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels collocated with the ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting. ASME 2014 12th International Conference on Nanochannels, Microchannels and Minichannels. Chicago, Illinois, USA. August 3–7, 2014. V001T12A012. ASME. https://doi.org/10.1115/ICNMM2014-21864
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