A new and generalized lattice Boltzmann model for simulating thermal two-phase flow is described. In this model, the single component multi-phase lattice Boltzmann model proposed by Shan and Chen is used to simulate the fluid dynamics. The temperature field is simulated using the passive-scalar approach, i.e., through modeling the density field of an extra component, which evolves according to the advection-diffusion equation. By coupling the fluid dynamics and temperature field through a suitably defined body force term, the thermal two-phase lattice Boltzmann model is obtained. In this paper, the theoretical foundations of the model and the validity of the thermal lattice Boltzmann equation method are laid out, illustrated by analytical and numerical examples. In a companion paper (P. Yuan and L. Schaefer, 2006, ASME J. Fluids Eng., 128, pp. 151–156), the numerical results of the new model are reported.
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e-mail: pey1@pitt.edu
e-mail: laschaef@engr.pitt.edu
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January 2006
Technical Papers
A Thermal Lattice Boltzmann Two-Phase Flow Model and Its Application to Heat Transfer Problems—Part 1. Theoretical Foundation
Peng Yuan,
Peng Yuan
Mechanical Engineering Department,
e-mail: pey1@pitt.edu
University of Pittsburgh
, Pittsburgh, PA, 15261
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Laura Schaefer
Laura Schaefer
Mechanical Engineering Department,
e-mail: laschaef@engr.pitt.edu
University of Pittsburgh
, Pittsburgh, PA, 15261
Search for other works by this author on:
Peng Yuan
Mechanical Engineering Department,
University of Pittsburgh
, Pittsburgh, PA, 15261e-mail: pey1@pitt.edu
Laura Schaefer
Mechanical Engineering Department,
University of Pittsburgh
, Pittsburgh, PA, 15261e-mail: laschaef@engr.pitt.edu
J. Fluids Eng. Jan 2006, 128(1): 142-150 (9 pages)
Published Online: August 10, 2005
Article history
Received:
December 18, 2004
Revised:
August 10, 2005
Connected Content
A companion article has been published:
A Thermal Lattice Boltzmann Two-Phase Flow Model and Its Application to Heat Transfer Problems—Part 2. Integration and Validation
Citation
Yuan, P., and Schaefer, L. (August 10, 2005). "A Thermal Lattice Boltzmann Two-Phase Flow Model and Its Application to Heat Transfer Problems—Part 1. Theoretical Foundation." ASME. J. Fluids Eng. January 2006; 128(1): 142–150. https://doi.org/10.1115/1.2137343
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