Magnetic field assisted fluidization—Dimensional analysis addressing the physical basis

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.

梯度磁场下气固流化床中磁颗粒运动数值模拟

在外加竖直方向梯度磁场的气固鼓泡流化床中,考虑铁磁颗粒受到的梯度磁场力和颗粒间磁感应力,对气相采用流体力学方法(CFD),颗粒相采用离散元法(DEM),建立二维磁鼓泡流化床数学模型,模拟不同磁场强度下全磁颗粒圆形床料的气固流动过程,分析了不同磁场强度对磁流化床中气泡生长、颗粒运动、床层压降和磁颗粒受力的影响。研究结果表明在沿高度磁感应强度递减的梯度磁场中,磁颗粒在颗粒间磁感应力的作用下凝聚成链,破坏了大气泡的形成。随着磁场强度增加,颗粒扩散系数减小,颗粒间磁感应力和梯度磁场力增大;气体与颗粒相间作用力先减小、后增加;而颗粒接触力先增加、后减小。