Proceedings of the Institution of Mechanical Engineers Part N Journal of Nanoengineering and Nanosystems · 2011 · 98 citations · 14 references
EngineeringMechanical EngineeringPhysicsComputational Fluid DynamicsFluid DynamicsNanotechnologyBoundary LayersBoundary-layer TheoryHeat FlowHeat Transfer In FluidsNon-newtonian Fluid FlowThermal Boundary LayersAnalytical Solutions For Boundary LayersBoundary Layer ThicknessFlat PlatesMomentum ThicknessNatural ConvectionNatural FlowThermal Boundary Layer ThicknessVolume Fraction Effects
In this research, natural convection of a non-Newtonian copper-water nanofluid between two infinite parallel vertical flat plates is investigated. The basic partial differential equations are reduced to ordinary differential equations which are solved analytically using the differential transformation method. The results obtained using the differential transformation method and those from a numerical method are in good agreement which demonstrates the ability of the differential transformation method to solve such problems. It is shown that as the nanoparticle volume fraction increases, the momentum boundary layer thickness increases, whereas the thermal boundary layer thickness decreases.
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