Abstract
Rarefied gas flow into a vacuum through short linearly diverging and converging channels has been examined with the direct simulation Monte Carlo method. Solution to the problem has been suggested using complete geometric setup with quite large areas on inlet and outlet of a model channel in examined geometry. A mass flow rate through the channel and flow field both inside the channel and upstream and downstream have been calculated in a wide range of gas rarefaction. These calculation results are comparable to corresponding data for the channel with constant cross section. A strong impact of channel geometry and gas rarefaction has been proved.
References
C. Kleinstreuer, Microfluidics and Nanofluidics: Theory and Selected Applications, John Wiley & Sons, 2013.
S. Prakash and J. Yeom, Nanofluidics and Microfluidics: Systems and Applications, William Andrew, 2014.
V.Y. Rudyak, V.M. Aniskin, A.A. Maslov, A.V. Minakov, and S.G. Mironov, Micro- and Nanoflows: Modeling and Experiments, Springer, Berlin/Heidelberg, Germany, 2018, Vol. 18.
F. Sharipov and V. Seleznev, Data on internal rarefied gas flows, J. Phys. Chem. Ref. Data, 1998, Vol. 27, No. 3, P. 657–706.
V.A. Titarev, E.M. Shakhov, and S.V. Utyuzhnikov, Rarefied gas flow through a diverging conical pipe into vacuum, Vacuum, 2014, Vol. 101, P. 10–17.
A. Ebrahimi, V. Shahabi, and E. Roohi, Pressure-driven nitrogen flow in divergent microchannels with isothermal walls, Applied Sci., 2021, Vol. 11, No. 8, P. 3602–1–3602–15.
V. Varade, V.S. Duryodhan, A. Agrawal, A.M. Pradeep, A. Edrahimi, and E. Roohi, Low Mach number slip flow through diverging microchannel, Computers & Fluids, 2015, Vol. 111, P. 46–61.
V. Varade, A. Agrawal, and A.M. Pradeep, Slip flow through a converging microchannel: experiments and 3D simulations, J. Micromechanics and Microengineering, 2015, Vol. 25, No. 2, P. 025015–1–025015–23.
V. Hemadri, V.V. Varade, A. Agrawal, and U.V. Bhandarkar, Investigation of rarefied gas flow in microchannels of non-uniform cross section, Phys. Fluids, 2016, Vol. 28, No. 2, P. 022007–1–022007–10.
V. Hemadri, V.V. Varade, A. Agrawal, and U.V. Bhandarkar, Rarefied gas flow in converging microchannel in slip and early transition regimes, Phys. Fluids, 2017, Vol. 29, No. 3, P. 032002–1–032002–10.
S.S. Milićev and N.D. Stevanović, Gas flow in microchannels and nanochannels with variable cross section for all Knudsen and all Mach number values, J. Fluids Engng, 2021, Vol. 143, No. 2, P. 021203–1–021203–13.
G.A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press, 1994.
O. Sazhin, Rarefied gas flow into vacuum through a channel with sudden contraction or expansion, Microfluidics and Nanofluidics, 2020, Vol. 24, No. 10, P. 76–1–76–9.
M.S. Ivanov and S.V. Rogazinsky, Comparative analysis of direct simulation algorithms in rarefied gas dynamics, Comp. Math. Math. Phys., 1988, Vol. 28, No. 7, P. 1058–1070.
O. Sazhin, Gas flow through a slit into a vacuum in a wide range of rarefaction, J. Experim. Theor. Phys., 2008, Vol. 107, P. 162–169.
F. Sharipov, Benchmark problems in rarefied gas dynamics, Vacuum, 2012, Vol. 86, No. 11, P. 1697–1700.
V.A. Titarev and E.M. Shakhov, A hybrid method for the computation of a rarefied gas jet efflux through a very long channel into vacuum, Comp. Math. Math. Phys., 2020, Vol. 60, No. 11, P. 1936–1949.
G. Tatsios, D. Valougeorgis, and S.K. Stefanov, Reconsideration of the implicit boundary conditions in pressure driven rarefied gas flows through capillaries, Vacuum, 2019, Vol. 160, P. 114–122.
Author information
Authors and Affiliations
Corresponding author
Additional information
The study was financed under the grant of the Russian Science Foundation and the Sverdlovsk Region Government No. 22-21-20121, https://rscf.ru/project/22-21-20121.
Rights and permissions
About this article
Cite this article
Sazhin, A.O., Sazhin, O.V. Direct stochastic simulation of a rarefied gas flow in channels of variable cross section. Thermophys. Aeromech. 30, 1043–1049 (2023). https://doi.org/10.1134/S0869864323060070
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864323060070