THE APPLICATION OF LATTICE BOLTZMANN TO FLOW ANALYSIS NANOFLUID IN THE CHANNEL BETWEEN COAXIAL CYLINDERS
Keywords:
nanofluid, centrifugal instability, curvilinear channel, heat- masstransfer, Taylor-Couette flow
Abstract
Taylor-Couette flow of nanofluids in curved channel, which is formed by two concentric cylindrical surfaces, is investigated. The flow is moved by rotating the inner cylindrical surface. It is analyzed the influence of following parameters on the critical Taylor numbers: the ratio of the radii of convex and concave walls, dimensionless parameters describing the temperature gradient, the relative density of nanoparticles, the ratio of Brownian diffusion and thermophoretic diffusion, Prandtl and Schmidt numbers.
References
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6. Lai W. Stability of a revolution fluid with variable density in the presence of a circular magneticfluid // Physics of Fluids – 1962. – V. 25. – P. 560 – 566.
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9. Avramenko A.A., Tyrinov A.I. Heat transfer at film condensation of stationary vapor with nanoparticles near a vertical plate // Appl. Therm. Eng. – 2014. – V.73, №. 1. – P. 389–396.
10. Avramenko A.A., Tyrinov A.I., Shevchuk I.V., Blinov. D.G. Heat transfer at film condensation of moving vapor with nanoparticles over a flat surface // Int. J. Heat Mass Transf. – 2015a. – V. 82. – P. 316–324.
11. Avramenko A.A., Tyrinov A.I., Shevchuk I.V., Blinov. D.G. Heat transfer in stable film boiling of a nanofluid over a vertical surface // Int. J. Therm. Sci. – 2015b. – V. 92. – P. 106–118.
12 Fedele L., Colla L., Bobbo S., Barison S., Agresti F. Experimental stability analysis of different water-based nanofluids // Nanoscale Research Letters – 2011. – V. 6. – P. 300.
13. Joni I.M., Purwanto A., Iskandar F., Okuyama K. Dispersion stability enhancement of titania nanoparticles in organic solvent using a bead mill process // Ind. Eng. Chem. Res. – 2009. – V.48, № 15. – P. 6916–6922.
14. Walowit J., Tsao.S., Diprima R. Stability of flow between arbitrarily spaced concentric cylindrical surfaces including the effect of a radial temperature gradient // J. Appl. Mech. – 1964. V. 30, № 4. – P. 585–593.
14. Mutabazi I., Gullerm R., Prigent A., Lepiller V., Malik S. Flow instabilities in a vertical differentially rotating cylindrical annulus with a radial temperature gradient // EUROMECH Colloquium. – 2011, – 21–23 June. V.52. – P. 300.
16. Pak. B.C., Cho Y.I. Hydrodynamic and heat transfer study of dispersed fluids with submi-cron metallic oxide particles // Exp. Heat Transfer. – 1998. – V. 11. – P. 151–170.
17. Brian J.N. Application of two-dimensional cellular automaton lattice-gas models to the simulation of hydrodynamics / J. N. Brian. – University of Edinburgh. 1990. –190 p.
18. Maxwell J.B. Lattice Boltzmann methods for interfacial wave modelling. – University of Edinburgh. 1997. – 238 p.
19. P.L. Bhatnagar, E.P. Gross, M. Krook. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One- Component Systems // Physical Review. 1954. V.94. P. 511–525.
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Published
2016-06-20
How to Cite
Avramenko, A., Tyrinov, A., & Dmytrenko, N. (2016). THE APPLICATION OF LATTICE BOLTZMANN TO FLOW ANALYSIS NANOFLUID IN THE CHANNEL BETWEEN COAXIAL CYLINDERS. Thermophysics and Thermal Power Engineering, 38(3), 3-9. https://doi.org/https://doi.org/10.31472/ihe.3.2016.01
Section
Heat and Mass Exchange Processes
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