Preview

Наносистемы: физика, химия, математика

Расширенный поиск

Heat transport in Marangoni layer with nanoparticles

Аннотация

This study investigates the influence of nanoparticle concentration on the Marangoni effect in the boundary layer near the free boundary of an incompressible fluid with small kinematic viscosity and thermal conductivity. The study was conducted on the basis of a single-phase model derived from the Navier-Stokes equations by replacing thermal parameters for their effective values. Two cases of stationary axisymmetric fluid flow are considered. In the first case, the fluid is cooled on the free surface near the symmetry axis, and in the second case, the fluid is heated. In the first case, a rotation of the fluid in a thin boundary layer appears near the free boundary, while there is no rotation outside the layer. In both cases, as the concentration of nanoparticles increases, the heat flux and the fluid velocity at the free boundary decrease.

Об авторах

V. Batischev
Southern Federal University
Россия


V. Zaikin
Southern Federal University
Россия


E. Horoshunova
Southern Federal University
Россия


Список литературы

1. J.C. Maxwell. A Treatise on Electricity and Magnetism. Clarendon Press, 2nd ed., 435 p. (1881).

2. S.U.S. Choi. Enhancing thermal conductivity of fluids with nanoparticles. The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, ASME, FED 231/MD 66, P. 99–105 (1995).

3. V. Bianco, F. Chiacchio, O. Manca, S. Nardini. Numerical investigation of nanofluids forced convection in circular tubes. Applied Thermal Engineering, 29 (17–18), P. 3632–3642 (2009).

4. S. Kakac, A. Pramuanjaroenkij. Review of convective heat transfer enhancement with nanofluids. International Journal of Heat and Mass Transfer, 52, P. 3187–3196 (2009).

5. W. Daungthongsuk, S. Wongwises. A critical review of convective heat transfer of nanofluids. Renew. Sustain. Energy Rev., 11, P. 797–817 (2007).

6. N.M. Arifin, R. Nazar, I. Pop. Marangoni-driven boundary layer flow in nanofluids. Proceedings of the 2010 international conference on theoretical and applied mechanics, 2010 and 2010 international conference on Fluid mechanics and heat & mass transfer, P. 32–35 (2010).

7. H.C. Brinkman. The viscosity of concentrated suspensions and solutions. J. Chem. Phys., 20, P. 571–581 (1952).

8. K. Khanafer, K. Vafai, M. Lightstone. Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int. J. Heat Mass Transfer, 46, P. 3639–3653 (2003).

9. R.K. Shukla, V.K. Dhir. Numerical study of the effective thermal conductivity of nanofluids. Proceedings of ASME Heat Transfer Conference, San Francisco, California, July, 17–22, P. 1–9 (2005).

10. V.A. Batischev. Asymptotics of unevenly heated free surface of capillary liquid at large Marangoni numbers. Applied Mathematics and Mechanics, 53 (3), P. 425–432 (1989).


Рецензия

Для цитирования:


 ,  ,   . Наносистемы: физика, химия, математика. 2013;4(3):313-319.

For citation:


Batischev V.A., Zaikin V.V., Horoshunova E.V. Heat transport in Marangoni layer with nanoparticles. Nanosystems: Physics, Chemistry, Mathematics. 2013;4(3):313-319.

Просмотров: 2


Creative Commons License
Контент доступен под лицензией Creative Commons Attribution 4.0 License.


ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)