Probabilistic approach for rarefied gas dynamics: Linearized Couette flow
Extending a new probabilistic approach for radiative transfer to the linear version of the Boltzmann equation based on the Krook kinetic model, an integral equation for the one-dimensional reflection function \(R(\tau; u, u_ 0)\) is derived from the Chapman-Kolmogorov equation in modified form. It is assumed that the joint probability of the molecular diffuse reflection at the moving wall has the Markovian character of the multiple scattering of particles. Then, the requisite perturbation velocity distribution at the moving wall is expressed in terms of the integrated \(R\)-function.
scientific article; zbMATH DE number 761772
scientific article