Geodesic
Modeling of Cylindrical Couette Flow of Rarefied Gas Between Rotating Cylinders
Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 184-189.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

The cylindrical Couette flow of a rarefied gas is studied in the case of two cylinders rotating with different velocities. Velocity, density and temperature profiles are investigated by a Direct Monte Carlo Simulation method and a numerical solution of the Navier-Stokes equations for compressible flow is found. The results obtained by both methods are in an excellent agreement at a small Knudsen number Kn = 0.02. The calculations show that the gas lags or outstrips in comparison with the walls or it has the elastic rigid body behavior at the variety velocity boundary conditions. These results are important for applications in non-planar microfluidic problems.
Keywords: Fluid Dynamics, Kinetic Theory, Rarefied Gas, DSMC 
@article{MEM_2010_39_1_a18,
     author = {Gospodinov, Peter and Dankov, Dobri and Roussinov, Vladimir and Stefanov, Stefan},
     title = {Modeling of {Cylindrical} {Couette} {Flow} of {Rarefied} {Gas} {Between} {Rotating} {Cylinders}},
     journal = {Mathematics and Education in Mathematics},
     pages = {184--189},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a18/}
}
TY  - JOUR
AU  - Gospodinov, Peter
AU  - Dankov, Dobri
AU  - Roussinov, Vladimir
AU  - Stefanov, Stefan
TI  - Modeling of Cylindrical Couette Flow of Rarefied Gas Between Rotating Cylinders
JO  - Mathematics and Education in Mathematics
PY  - 2010
SP  - 184
EP  - 189
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a18/
LA  - en
ID  - MEM_2010_39_1_a18
ER  - 
%0 Journal Article
%A Gospodinov, Peter
%A Dankov, Dobri
%A Roussinov, Vladimir
%A Stefanov, Stefan
%T Modeling of Cylindrical Couette Flow of Rarefied Gas Between Rotating Cylinders
%J Mathematics and Education in Mathematics
%D 2010
%P 184-189
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a18/
%G en
%F MEM_2010_39_1_a18
Gospodinov, Peter; Dankov, Dobri; Roussinov, Vladimir; Stefanov, Stefan. Modeling of Cylindrical Couette Flow of Rarefied Gas Between Rotating Cylinders. Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 184-189. http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a18/