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MODAL PART ANALYSIS OF SLOSH OF THE LIQUID IN A CYLINDRICAL CONTAINER IN THE CASE OF SMALL bond number

Applied Mathematics and Mechanics(English Edition) 1999年第9期20卷 979-984页

作者：苟兴宇王本利马兴瑞黄怀德李铁寿 Beijing Institute of Control Engineering Beijing P R China Harbin Institute of Technology Harbin P R China Chinese Academy of Space Technology Beijing P R China Chinese Academy of Launch-Vehicle Technology Beijing P R China

Reconstruction of liquid free slosh modes by curved quiet free surface was investigated in the case of small bond number by means of modal part analysis method in this paper. It is shown that the curved liquid quiet free surface would couple the modes to form new eigen-modes while the orthogonality of the modes which participate the liquid slosh are given only by their Bessel modal parts and it would change their eigen-frequencies respectively while the orthogonality are given by their triangle function modal parts. By studying the laterally forced slosh of the liquid in a cylindrical container based on the new eigen-modes, a characteristic of modes-choosing was found.

关键词： slosh bond number modal part modal part analysis

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Magnetic field assisted fluidization—Dimensional analysis addressing the physical basis

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China Particuology 2007年第1期5卷 103-110页

作者： Jordan Hristov Department of Chemical Engineering University of Chemical Technology and Metallurgy Sofia 1756 8 "Kliment Ohridsky" Boulevard Bulgaria

This paper originates a discussion on dimensional analysis and scaling in magnetically assisted fluidized beds. Basic examination of process variables, merging mechanical and magnetic units, allows the conversion of mixed sets of variables into unified terms representing surface forces as effects of the fields contributing to the assisted fluidization behaviour. This transformation is termed ＂pressure transform＂ since the new variables are all characteristic pressures generated by three basic fields： gravity, magnetic and fluid flow. This approach addresses the physical basis in terms of dimensionless groups rather than formal algebraic manipulations pertinent to classical dimensional analysis. Basic dimensionless group termed granular magnetic bond number is introduced as the ratio of characteristic pressures of gravity and of magnetic field. This analysis also provides a set of named dimensionless numbers characterizing magnetic field assisted fluidization such as Filippov number, Rosensweig number, Kwauk number and Siegell number, derived as ratios of characteristic pressures.

关键词： Magnetic field assisted fluidization (MFAF) Dimensional analysis bond number

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