NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2013, 4 (3), P. 313–319
HEAT TRANSPORT IN MARANGONI LAYERS WITH NANOPARTICLES
V. A. Batischev – 344090, Milchakova, 8a. Department of Theoretical and Computer Hydrodynamics,
Southern Federal University, RostovonDon, Russia; batishevv@mail.ru
V.V. Zaikin – 344090, Milchakova, 8a. Department of Theoretical and Computer Hydrodynamics,
Southern Federal University, RostovonDon, Russia
E.V. Horoshunova – 344090, Milchakova, 8a. Department of Theoretical and Computer Hydrodynamics,
Southern Federal University, RostovonDon, Russia
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 singlephase model derived from the NavierStokes 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.
Keywords: nanoparticles, a free boundary, the Marangoni effect, the boundary layer, thermal conductivity.
PACS 47.55.Nb, 47.55.Pf
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