Heat transport in Marangoni layer with nanoparticles
Abstract
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.
Keywords
Supporting agencies: This work was supported by the RFBR grant No. 12-01-00582-a.
About the Authors
V. A. Batischev
Southern Federal University
Russian Federation
Russian Federation
Department of Theoretical and Computer Hydrodynamics
Rostov-on-Don
V. V. Zaikin
Southern Federal University
Russian Federation
Russian Federation
Department of Theoretical and Computer Hydrodynamics
Rostov-on-Don
E. V. Horoshunova
Southern Federal University
Russian Federation
Russian Federation
Department of Theoretical and Computer Hydrodynamics
Rostov-on-Don
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Review
For citations:
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.
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