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Kinetic Theory of Dense Fluids

This chapter presents the basic elements of the kinetic theory of non-ideal fluids, to which both kinetic and potential energy contribute on comparable footing. Non-ideal fluids lie at the heart of many complex fluid-dynamic applications, such as those involving multiphase and multicomponent flows. This chapter features a degree of abstraction which may not come by handy to the reader with limited interest to the formal theory of classical many-body systems. The interested readers can safely skip the math and retain the basic bottomline. They may just skip this chapter altogether, but in this author’s opinion, this is likely to come with a toll on the full appreciation of Lattice Boltzmann theory for non-ideal fluids, in fact one of the most successful offsprings of Lattice Boltzmann theory.