Geodesic
Two-dimensional flow of rarefied gas in half-space caused by absorption at part of plane boundary
Matematičeskoe modelirovanie, Tome 11 (1999) no. 6, pp. 3-16.

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The paper deals with two-dimensional steady flow of rarefied gas which is at rest at infinity and involved in motion due to absorption at part of boundary. The problem is investigated by numerical integrating the kinetic model equation. The flow may be treated as a model one for flow to cryogenic panel at the surface and/or sink flow through a slit The main computable integral flow characteristic of principal interest is the mass flux through the absorbing part of the boundary as a function of Knudsen number. This relation is presented for both specular and diffuse boundary conditions. 
@article{MM_1999_11_6_a0,
     author = {V. A. Titarev and E. M. Shakhov},
     title = {Two-dimensional flow of rarefied gas in half-space caused by absorption at part of plane boundary},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--16},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1999_11_6_a0/}
}
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V. A. Titarev; E. M. Shakhov. Two-dimensional flow of rarefied gas in half-space caused by absorption at part of plane boundary. Matematičeskoe modelirovanie, Tome 11 (1999) no. 6, pp. 3-16. http://geodesic.mathdoc.fr/item/MM_1999_11_6_a0/