Tutorial: Multi-Species Lattice Boltzmann Models and Applications
Tutorial: Multi-Species Lattice Boltzmann Models and Applications
Tutorial: Multi-Species Lattice Boltzmann Models and Applications
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Kinetic theory of rarefied gas mixtures<br />
Exchange relation for momentum<br />
Exchange relation for momentum (2 of 3)<br />
Let us express the surface element dn in Eq. (10) by using g as<br />
polar axis, φ as polar angle <strong>and</strong> θ as azimuthal angle.<br />
Hence K σς (|g · n|/|g|) = K σς (cos φ) = K σς (φ) <strong>and</strong> consequently<br />
∫<br />
m σ ξQ σ dξ = ∑ 〈∫<br />
〉<br />
2µ σς K σς (φ) (g · n) n dn . (10)<br />
R 3 ξ ς<br />
g·n
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