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Keywords: Boltzmann equation
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Journal Articles
Article Type: Research-Article
J. Fluids Eng. August 2014, 136(8): 081203.
Paper No: FE-13-1582
Published Online: May 19, 2014
... 30 01 2014 Plane thermal transpiration of a rarefied gas between two walls of Maxwell-type boundaries with different accommodation coefficients is studied based on the linearized Boltzmann equation for a hard-sphere molecular gas. The Boltzmann equation is solved numerically using a finite...
Journal Articles
Article Type: Technical Briefs
J. Fluids Eng. January 2009, 131(1): 014501.
Published Online: December 2, 2008
... achieved. Furthermore, the domain of the validity of this continuum approach is discussed. Simulations are then extended to the transitional flow regime. Streamwise velocity distributions are also compared with the results of the numerical solutions of the linearized Boltzmann equation. We emphasize...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. July 2007, 129(7): 908–912.
Published Online: December 4, 2006
... steady-state solution { u j } S S . 01 06 2006 04 12 2006 Boltzmann equation kinetic theory Newton method flow simulation microfluidics Knudsen flow Navier-Stokes equations The objective of the work presented here is the development of efficient...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. January 2006, 128(1): 142–150.
Published Online: August 10, 2005
... 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...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. January 2006, 128(1): 151–156.
Published Online: August 10, 2005
...Peng Yuan; Laura Schaefer In the previous paper (Part 1) ( P. Yuan and L. Schaefer, 2006, ASME J. Fluids Eng., 128, pp. 142–150 ), the multiphase isothermal lattice Boltzmann equation (LBE) model and single phase thermal LBE (TLBE) model were described. In this work, by combining these two models...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. September 2002, 124(3): 576–583.
Published Online: August 19, 2002
... are overcome by using the Boltzmann equation 10 . The main feature of the lattice Boltzmann method (LBM) is to neglect individual particle motion and to replace the particle occupation variables, which are Boolean variables in the LGA, with single-particle distribution functions 11 . These functions...