Abstract

Homotopy analysis method is a new and efficient way to nonlinear problems.The nonlinear Boltzmann equation with differential and integral terms is discussed.The local Maxwell velocity distribution function is chosen as the initial conjecture solution in the Boltzmann equation of dilute granular flow.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 does not rely on little parameters.It is a successful application of HAM and the base of solving more general Boltzmann equation in the feature.

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