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Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk
Author(s) -
Yanhai Lin,
Liancun Zheng
Publication year - 2015
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4934932
Subject(s) - nanofluid , marangoni effect , homotopy analysis method , boundary layer , heat transfer , materials science , porous medium , mechanics , partial differential equation , thermodynamics , shooting method , boundary value problem , nonlinear system , porosity , physics , composite material , mathematics , mathematical analysis , convection , quantum mechanics
In this paper we present a study of the Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk. It is assumed that the base fluid water and the nanoparticles copper are in thermal equilibrium and that no slippage occurs between them. The governing partial differential equations are transformed into a set of ordinary differential equations by generalized Kármán transformation. The corresponding nonlinear two-point boundary value problem is solved by the Homotopy analysis method and the shooting method. The effects of the solid volume fraction, the permeability parameter and the Marangoni parameter on the velocity and temperature fields are presented graphically and analyzed in detail

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