The multicomponent nonideal gas lattice Boltzmann model by Shan and Chen (S
-C) can be used to simulate the immiscible fluid flow. In this paper, we sh
ow that the relaxation constant tau less than or equal to 1 is a necessary
condition for the immiscible fluid flow in the S-C model. In a system with
very complex boundary geometry, for 0.8 less than or equal to tau less than
or equal to 1, the S-C model describes the immiscible flow quite well, and
tau = 1 is the best.