Numerical simulations of gas-dynamic conductivity of microchannels with allowance for their surface structure. (English. Russian original) Zbl 1272.76216
J. Appl. Mech. Tech. Phys. 50, No. 5, 747-753 (2009); translation from Prikl. Mekh. Tekh. Fiz. 50 No. 5, 20-27 (2009).
Summary: The effect of the microchannel surface structure on the free-molecular gas flow is studied by the test-particle method. Simulations are performed for channels whose surface either is obtained by means of statistical modeling or is reconstructed from the data of atomic-force microscopy of real surfaces. Dependences of monochromatic molecular beam scattering on the angle of incidence and the average height of microscopic roughness elements on the surface are considered. It is demonstrated that the method developed allows one to obtain the distribution function for particles reflected from a rough surface and to use it in the boundary conditions in problems of rarefied gas dynamics.
MSC:
| 76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |
| 76M28 | Particle methods and lattice-gas methods |
| 76M35 | Stochastic analysis applied to problems in fluid mechanics |
Keywords:
rarefied gas flow in microchannels; Monte Carlo test-particle method; gas-surface interaction; scattering indicatrices; atomic-force microscopyReferences:
| [1] | S. F. Borisov, ”Progress in gas/surface interaction study,” in: Proc. of the 24th Int. Symp. on Rarefied Gas Dynamics, (Monopoli, Bari, Italy, July 10–16, 2004), Vol. 762, Amer. Inst. of Phys., Mellville, New York (2005), pp. 933–940. |
| [2] | T. Sawada, B. Y. Horie, and W. Sugiyama, ”Diffuse scattering of gas molecules from conical surface roughness,” J. Vacuum, 47, 795–797 (1996). · doi:10.1016/0042-207X(96)00069-3 |
| [3] | D. H. Davis, L. L. Levenson, and N. Milleron, ”Effect of ’Rougher-than-Rough’ surfaces on molecular flow through short ducts,” J. Appl. Phys., 35, 529–532 (1964). · doi:10.1063/1.1713407 |
| [4] | B. T. Porodnov, P. E. Suetin, S. F. Borisov, and V. D. Akinshin, ”Experimental investigation of rarefied gas flow in different channels,” J. Fluid Mech., 64, No. 3, 417–437 (1974). · doi:10.1017/S0022112074002485 |
| [5] | O. E. Gerasimova, S. F. Borisov, C. Boragno, and U. Valbusa, ”Modeling of the surface structure in gasdynamic problems with the use of the data of atomic force microscopy,” J. Eng. Phys. Thermophys., 76, No. 2, 413–416 (2003). · doi:10.1023/A:1023677807018 |
| [6] | O. A. Aksenova and I. A. Khalidov, ”Fractal and statistical models of rough surface interacting with rarefied gas flow,” in: Proc. of the 24th Int. Symp. on Rarefied Gas Dynamics (Monopoli, Bari, Italy, July 10–16, 2004), Vol. 762, Amer. Inst. of Phys., Mellville-New York (2005), pp. 993–998. |
| [7] | N. Gimelshein, J. Duncan, T. Lilly, et al., ”Surface roughness effects in low Reynolds number channel flows,” in: Proc. of the 25th Int. Symp. on Rarefied Gas Dynamics (St. Petersburg, Russia, July 21–28, 2006), Publ. House of the Sib. Branch of the Russian Acad. of Sci., Novosibirsk (2007), pp. 695–702. |
| [8] | G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford Univ. Press, New York (1994). |
| [9] | P. Clausing, ”The flow of highly rarefied gases through tubes of arbitrary length,” J. Ann. Phys., 12, 961–989 (1932). · Zbl 0004.17702 · doi:10.1002/andp.19324040804 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
