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Visualization of double-diffusive Convection and Unsteady Solidification on a Vertical Circular Cylinder

Journal of Flow Control, Measurement & Visualization 2015年第4期3卷 154-160页

作者： Kazuki Ohnishi Shigeo Kimura Takahiro Kiwata Nobuyoshi Komatsu Takaaki Kono School of Mechanical Engineering Kanazawa University Kanazawa Japan

This paper describes experimental results on the solidification process over the vertically positioned circular cylinder, placed in an aqueous solution of sodium nitrate, where the aqueous solution in the vessel is heated from the bottom. After the initiation of solidification by cooling the cylinder below the liquidus temperature, the pure ice formation on the cylinder causes the rejection of solute into the surrounding aqueous solution. The solute enriched vertical fluid layer over the ice then falls on the bottom of the vessel due to its higher density, and accumulates there. This process results in the formation of solute rich and hot horizontal layer (heavy layer), underlying the relatively cold but less concentrated fluid layer (light layer). As this process advances, however, because of the continuing influx of solute rich fluid, the lower heavy layer occupies more space, and the interface of the two layers rises slowly. The pH indicator method has been successfully employed in order to visualize the flows during this process. In this report, we document the evolution of both temperature and flow fields in the aqueous solution quantitatively, as the solidification progresses and the density discontinuity of the two layers rises.

关键词： Solidification Flow Visualization double-diffusive Convection Vertical Cylinder Heat Transfer

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Conceptual Analysis of a Time-Dependent double-diffusive Flow over a Semi-Infinite Vertical Plate

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Journal of Applied Mathematics and Physics 2014年第4期2卷 11-16页

作者： Sunday Ojima Abah Umar Suleiman Joseph Enemona Idoko Department of Mathematics Statistics and Computer Science Kaduna Polytechnic Kaduna Nigeria

This study is devoted to the analysis of a one-dimensional time-dependent double-diffusive flow over a semi-infinite vertical plate, under a convective surface boundary condition. Using similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by using shooting method alongside with Runge-Kutta integration scheme as embedded in Maple software programme. The numerical results of the skin-friction coefficient, the Nusselt and Sherwood numbers are discussed and depicted graphically.

关键词： Time-Dependent double-diffusive Flow Semi-Infinite Vertical Plate

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Plane Stagnation double-diffusive MHD Convective Flow with Convective Boundary Condition in a Porous Media

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American Journal of Computational Mathematics 2012年第3期2卷 223-227页

作者： Okedayo T. Gideon S. O. Abah Department of Mathematical Sciences Ondo State University of Science and Technology Okitipupa Nigeria Department of Mathematics Statistics and Computer Science Kaduna Polytechnic Kaduna Nigeria

A numerical analysis has been carried out to study the problem of plane stagnation double-diffusive MHD convective flow with convective boundary condition in a porous media. The governing nonlinear partial differential equations have been reduced to systems of nonlinear ordinary differential equations by the similarity transformations. The transformed equations are solved numerically by using the classical fourth order Runge-Kutta method together with the shooting technique implemented on a computer program. The effects of the physical parameters are examined on the velocity, temperature and concentration profiles. Numerical data for the skin-friction coefficients, Nusselt and Sherwood numbers have been tabulated for various parametric conditions and are also shown graphically and discussed.

关键词： Plane Stagnation double-diffusive MHD Convective Flow and Porous Media

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