Simulation of hydrodynamics and convective heat transfer in microchannels

Authors

  • Andrey Viktorovich Minakov Siberian Federal University image/svg+xml
  • Aleksander Sergeevich Lobasov Siberian Federal University image/svg+xml
  • Aleksander Аnatolievich Dekterev Institute of Thermal Physics SB RAS

DOI:

https://doi.org/10.7242/1999-6691/2012.5.4.56

Keywords:

microchannels, CFD, Navier-Stokes equations, control volume method

Abstract

The paper present the results of testing and adaptation of the universal CFD software package SigmaFlow applied to the problems of modeling isothermal fluid flow and heat transfer in microchannels. To simulate heat and mass transfer in microchannels, the classical methods of continuum mechanics based on the solution of the Navier–Stokes equations with slip boundary conditions at channel walls were used. Computational experiments confirmed the validity of the proposed approach for channel dimensions up to. In general, the test results are in good qualitative and quantitative agreement with the experimental data.

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References

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Karniadakis G., Beskok A., Aluru N. Microflows and nanoflows. - Springer Science+Business Media, Inc., 2005. - Interdisciplinary Applied Mathemathics. - V. 29. - 817 p.
2. Rudyak V.Ya., Minakov A.V., Gavrilov A.A., Dekterev A.A. Application of new numerical algorithm of solving the Navier-Stokes equations for modelling the work of a viscometer of the physical pendulum type // Thermophys. Aeromech. - 2008. - V. 15, N. 2. - P. 333-345. DOI
3. Gavrilov A.A., Minakov A.V., Dekterev A.A., Rudak V.A. Cislennyj algoritm dla modelirovania laminarnyh tecenij v kol’cevom kanale s ekscentrisitetom // Sib. zurn. industr. matematiki. - 2010. - T. 13, No 4. - C. 3-14.
4. Gavrilov A.A., Minakov A.V., Dekterev A.A., Rudak V.A. Cislennyj algoritm dla modelirovania ustanovivsihsa laminarnyh tecenij nen’utonovskih zidkostej v kol’cevom zazore s ekscentrisitetom // ZVT. - 2012. - T. 17, No 1. - S. 44-56.
5. Menter F.R. Zonal two equation turbulence models for aerodynamic flows // AIAA 24th Fluid Dynamic Conference, Orlando, Florida, July 6-9, 1993. - AIAA 93-2906.
6. Patankar S. Cislennye metody resenia zadac teploobmena i dinamiki zidkosti. - M.: Energoatomizdat, 1984. - 152 s.
7. Bystrov U.A., Isaev S.A., Kudravcev N.A., Leont’ev A.I. Cislennoe modelirovanie vihrevoj intensifikacii teploobmena v paketah trub. - SPb.: Sudostroenie, 2005. - 392 s.
8. Ferziger J.H., Peric M. Computational methods for fluid dynamics. - Berlin: Springer Verlag, 2002. - 423 p.
9. Leonard B.P. A stable and accurate convective modelling procedure based on quadratic upstream interpolation // Comput. Method Appl. M. - 1979. - V. 19, N. 1. - P. 59-98. DOI
10. Rhi S.M., Cou U.L. Cislennyj rascet turbulentnogo obtekania profila s otryvom u zadnej kromki // Aerokosmiceskaa tehnika. - 1984. - T. 2, No 7. - S. 33-43.
11. Trottenberg U., Oosterlee C.W., Schuller A. Multigrid. - Academic Press, 2001. - 631 p.
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13. Judy J., Maynes D., Webb B.W. Characterization of frictional pressure drop for liquid flows through microchannels // Int. J. Heat Mass Tran. - 2002. - V. 45, N. 17. - P. 3477-3489. DOI
14. Hwang Yu.W., Kim M.S. The pressure drop in microtubes and the correlation development // Int. J. Heat Mass Tran. - 2006. - V. 49, N. 11-12. - P. 1804-1812. DOI
15. Liu D., Garimella S.V. Investigation of liquid flow in microchannels // J. Thermophys. Heat Tr. - 2004. - V. 18, N. 1. - P. 65-72. DOI
16. Xu B., Wong T.N., Nguyen N.-T., Che Z., Chai J.C.K. Thermal mixing of two miscible fluids in a T-shaped microchannel // Biomicrofluidics. - 2010. - V. 4, N. 4. - 044102. DOI
17. Gaurav Agarwal, Manoj Ku. Moharana, Khandekar Sameer Thermo-hydrodynamics of developing flow in a rectangular mini-channel array // Proc. of the 9th International and 20th National ISHMT-ASME Heat and Mass Transfer Conference, Mumbai, India, 4-6 January, 2010. - P. 1342-1349.

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Published

2012-12-25

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How to Cite

Minakov, A. V., Lobasov, A. S., & Dekterev A. А. (2012). Simulation of hydrodynamics and convective heat transfer in microchannels. Computational Continuum Mechanics, 5(4), 481-488. https://doi.org/10.7242/1999-6691/2012.5.4.56