first I must say, that I am new to both fluid dynamics and LBM (like 1 year old )
So I would like to derive an A term in an equilibrium distribution function:
for Bingham plastics. Or at least I would like to find a derived solution. I have found only a paper: Lattice Boltzmann modeling of Bingham plastics, but the equilibrium function looks quite different then ussual and I can not see if it is correct because I do not know how to derive it.
So could you please point me to any paper / book where there is complete derivation of A term of the equation for Bingham plastic or similar? Or could you at least point me to any paper describing Bingham plastics for LBM aside from the mentioned one?