Evaluation of a lattice-Boltzmann method for mercury intrusion porosimetry simulations

We have simulated intrusion of a non-wetting liquid into pores of varying shape and size. Simulations were based on the lattice-Boltzmann method and the Shan-Chen multiphase model. The liquid-solid contact angle for pores with circular cross-section was found to be equal to that for pores with square cross-section, and constant even for small pore sizes if the discretised shape of the circular cross-section was taken into account. For comparison, contact angle was also determined for a liquid column descending in a capillary tube, and the results were found to be consistent. Application of the method to mercury intrusion porosimetry is discussed.

[1]  Theory of the lattice boltzmann method: lattice boltzmann models for nonideal gases , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  B. R. Sehgal,et al.  Numerical investigation of bubble growth and detachment by the lattice-Boltzmann method , 2001 .

[3]  Qisu Zou,et al.  N ov 1 99 6 On pressure and velocity flow boundary conditions and bounceback for the lattice Boltzmann BGK model , 2008 .

[4]  Yeomans,et al.  Lattice Boltzmann simulation of nonideal fluids. , 1995, Physical review letters.

[5]  S. Zaleski,et al.  Lattice Boltzmann model of immiscible fluids. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[6]  Q. Zou,et al.  On pressure and velocity boundary conditions for the lattice Boltzmann BGK model , 1995, comp-gas/9611001.

[7]  Jussi Timonen,et al.  Spreading dynamics of three-dimensional droplets by the lattice-Boltzmann method , 2000 .

[8]  Xiaoyi He,et al.  Thermodynamic Foundations of Kinetic Theory and Lattice Boltzmann Models for Multiphase Flows , 2002 .

[9]  J. Timonen,et al.  Lattice-Boltzmann Simulation of Capillary Rise Dynamics , 2002 .

[10]  Bastien Chopard,et al.  Cellular Automata Modeling of Physical Systems: Index , 1998 .

[11]  Luo Li-Shi,et al.  Theory of the lattice Boltzmann method: Lattice Boltzmann models for non-ideal gases , 2001 .

[12]  J. Van Brakel,et al.  Mercury porosimetry: state of the art , 1981 .

[13]  L. Luo,et al.  A priori derivation of the lattice Boltzmann equation , 1997 .

[14]  Shan,et al.  Lattice Boltzmann model for simulating flows with multiple phases and components. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  L. Luo,et al.  Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation , 1997 .

[16]  Ioannis G. Kevrekidis,et al.  Bubble flow simulations with the lattice Boltzmann method , 1999 .

[17]  Yeomans,et al.  Lattice Boltzmann simulations of liquid-gas and binary fluid systems. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[18]  Frisch,et al.  Lattice gas automata for the Navier-Stokes equations. a new approach to hydrodynamics and turbulence , 1989 .

[19]  Chen,et al.  Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  Z. L. Yang,et al.  Numerical investigation of boiling regime transition mechanism by a Lattice–Boltzmann model , 2001 .

[21]  Raoyang Zhang,et al.  A Lattice Boltzmann Scheme for Incompressible Multiphase Flow and Its Application in Simulation of Rayleigh-Taylor Instability , 1998 .

[22]  J. Boon.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[23]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[24]  M. Schelkle,et al.  Three-dimensional lattice Boltzmann simulations of binary collisions between equal droplets , 1995 .

[25]  Paul A. Webb,et al.  An Introduction To The Physical Characterization of Materials by Mercury Intrusion Porosimetry with Emphasis On Reduction And Presentation of Experimental Data , 2006 .

[26]  B. Sehgal,et al.  Numerical investigation of bubble coalescence characteristics under nucleate boiling condition by a lattice-Boltzmann model , 2000 .

[27]  Li-Shi Luo,et al.  Unified Theory of Lattice Boltzmann Models for Nonideal Gases , 1998 .

[28]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[29]  E. W. Washburn.  Note on a Method of Determining the Distribution of Pore Sizes in a Porous Material. , 1921, Proceedings of the National Academy of Sciences of the United States of America.

[30]  Shan,et al.  Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.