as you know many articles and papers that have published in LBM assumed that flow is continuum. then they imply no slip boundary condition Bounce Back to their walls. this method was good in macroscopic and microscopic scales. But if I want to simulated rare flow in nano channel I should imply effect of slip Boundary condition and Kn (knudsen number) in my code.
also i search in many journal in internet . I found that many researcher work on but their methods is very different. someone imply no slip B.C but study effect of kn(knudsen number) like" Lattice Boltzmann versus Molecular Dynamics Simulation of Nanoscale Hydrodynamic Flows Ju rgen Horbach and Sauro Succi" and someone suggest their different methods like related relaxation time with kn and etc.
I really confused when I have study this papers. if i wanted to study effect of kn number in my channel (single component or multiphase model ) what papers or book should i read ?
i see many articles with many method but i dont know which one is better and can be apply in shan-chen model. who can help me in this case? can you guided me for this problem?
any book ,articles, papers
I really so sorry
Many thanks in advance and with kind regards