Abstract
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.
Highlights
Nanofluids, defined as suspended nanoparticles with the size of 1 to 100 nm inside fluids, have drawn vast attention due to recently claimed high performance in heat transfer in the literature.[1]
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
(ks + 2kf ) − 2φ(kf − ks) . + φ(k f − ks) where φ is the solid volume fraction of the nanofluid, ρs is the density of the nanoparticle (Cu), ρf is the density of the base fluid.nf is the heat capacity of the nanofluid,f is the heat capacity of the base fluid ands is the heat capacity of the nanoparticle. knf is the thermal conductivity of the nanofluid, k f is the thermal conductivity of the base fluid and ks is the thermal conductivity of the nanoparticle
Summary
Nanofluids, defined as suspended nanoparticles with the size of 1 to 100 nm inside fluids, have drawn vast attention due to recently claimed high performance in heat transfer in the literature.[1]. The surface was assumed to vary linearly with the temperature in Marangoni boundary layer problem.[14,15,20] Further, the surface was assumed to vary linearly with the concentration and the thermosolutal surface tension radio parameter was introduced to describe the mass transfer.[21,22,23,24,25] Zheng et al.[20] established the Marangoni convection over a liquid-vapor surface due to an imposed temperature gradient by the Adomian analytical decomposition technique and the Páde approximant technique. Lin and coworkers[29,30,31] investigated Marangoni convection flow and heat transfer of power law fluids or nanofluids driven by the surface temperature gradient with variable thermal conductivity. The governing partial differential equations are transformed into a set of ordinary differential equations by generalized Kármán transformation[35] and the solutions are presented analytically and numerically
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