科研之友
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摘要
Homotopy analysis method is a new and efficient way to nonlinear problems. The nonlinear Boltzmann equation with differential and integral terms in the kinetic theory of dilute solid- liquid two-phase flows is discussed. The local Maxwell velocity distribution function is chosen as the initial conjecture solution in the Boltzmann equation. The concrete expression of the first-order approximate solution to Boltzmann equation with collision term being BGK model, which is consistent to the solution by Chapman-Enskog method, is given. It is a successful application of HAM and the base of solving more general Boltzmann equation in the feature.
