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Modeling of flows in a microchannel based on the boltzmann lattice equation

  • Kinetic Theory of Transfer Processes
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Journal of Engineering Physics and Thermophysics Aims and scope

An approach to the analysis of micro- and macroflows with the use of the method of Boltzmann lattices is considered. The velocity profiles of flows in the entry sections of microchannels under no-slip and slip conditions on the wall have been obtained. The influence of the Knudsen number on the hydrodynamic entrance length of a microchannel and its hydrodynamical resistance have been analyzed.

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References

  1. M. H. Bao, Micromechanical Transducers. Vol. 8: Pressure Sensors, Accelerometers and Gyroscopes (Handbook of Sensors and Actuators), Elsevier Science B.V., New York (2000).

  2. B. J. N. Wylie, Application of Two-Dimensional Cellular Automaton Lattice–Gas Models to the Simulation of Hydrodynamics, University of Edinburgh, Edinburgh (1990).

  3. J. B. Maxwell, Lattice Boltzmann Methods for Interfacial Wave Modelling, University of Edinburgh, Edinburgh (1997).

    Google Scholar 

  4. C. Cercignani, Theory and Applications of the Boltzmann Equation [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  5. P. L. Bhatnagar, E. P. Gross, and M. Krook, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Phys. Rev. No. 94, 511–525 (1954).

    Google Scholar 

  6. X. Shan and H. Chen, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev., E 47, 1815–1819 (1993).

    Google Scholar 

  7. X. Shan and H. Chen, Simulation of nonideal gases and liquid–gas phase transitions by the lattice Boltzmann equation, Phys. Rev., E 49, 2941–2948 (1994).

    Google Scholar 

  8. H. Xiaoyi and L. Li-Shi, Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation, Phys. Rev., E 56, 6811–6817 (1997).

    Google Scholar 

  9. Q. Zou and X. He, On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys. Fluids, 9, No. 6, 6202–6205 (1997).

    Article  MathSciNet  Google Scholar 

  10. A. Beskok and G. E. Karniadakis, Simulation of slip-flows in complex microgeometries, ASME DSC, 40, 355–370 (1992).

    Google Scholar 

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Correspondence to A. I. Tyrinov.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 1, pp. 59–65, January–February, 2012.

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Tyrinov, A.I., Avramenko, A.A., Basok, B.I. et al. Modeling of flows in a microchannel based on the boltzmann lattice equation. J Eng Phys Thermophy 85, 65–72 (2012). https://doi.org/10.1007/s10891-012-0621-1

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  • DOI: https://doi.org/10.1007/s10891-012-0621-1

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