Journal
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
Volume 135, Issue 2, Pages 873-886Publisher
SPRINGER
DOI: 10.1007/s10973-018-7379-4
Keywords
Hall effects; Alumina nanoparticles; Nanofluid; Paraboloid of revolution; Volume fraction; Variable viscosity; Variable thermal conductivity
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White crystalline powder (aluminum oxide-Al2O3) and water are the products often formed after the heating of aluminum hydroxide. In this report, boundary layer flow of two different nanofluids (i.e., 36nm Al2O3-water and 47nm Al2O3-water) over an upper horizontal surface of a paraboloid of revolution under the influence of magnetic field is presented. The combined influence of magnetic field strength, electric current density, electric charge, electron collision time, and the mass of an electron in the flows are considered in the governing equations. Three-dimensional transport phenomenon was considered due to the influence of the Lorentz force (F) along the z-direction as in the case of Hall currents. In this study, the dynamic viscosity and density of the nanofluids are assumed to vary with the volume fraction phi. The dimensional governing equations were non-dimensionalization and parametrization using similarity variables. The corresponding boundary value problem was transformed into initial value problem using the method of superposition and solved numerically using fourth-order Runge-Kutta method with shooting technique (RK4SM). Magnetic field parameter is seen to have dual effects on the cross-flow velocity profiles of both nanofluids. The maximum cross-flow velocity is attained within the fluid domain when 36nm nanoparticles alumina is used. The cross-flow velocity gradient at the wall increases with magnetic field parameter (M) and also increases significantly with Hall parameter at larger values of M.
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