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首页> 外文期刊>Chemical Engineering Science >The effect of van der Waals and charge induced forces on bed modulus of elasticity in ac/dc electrofluidized beds of fine powders-a unified theory
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The effect of van der Waals and charge induced forces on bed modulus of elasticity in ac/dc electrofluidized beds of fine powders-a unified theory

机译：范德华力和电荷感应力对细粉交/直流电流化床中床弹性模量的影响-统一理论

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摘要

Perturbation theory is applied to an ac electrofluidzed bed of fine powder (glass and FCC) using electric field bubble control to infer the relation between interparticle forces (microscale) and the bulk bed modulus of elasticity (macroscale). Electrostatically induced and permanent van der Waals forces are modeled in a unified theory with bulk fluidized bed behavior. The extrapolation of the electric field to zero strength gives the permanent bed force and bulk bed modulus of elasticity as limiting cases. The resulting equations involve atomic as well as macros-scale parameters. The charge induced forces are identified through the bed modulus of elasticity as a function of the applied electric field strength. The semi-empirical approach is based on the principle that the conservation equations for the perturbed fluidized bed become unstable at the onset of bubbling giving characteristic eigenvalues for the bed modulus, a condition that is readily identifiable experimentally. Eigenvalues from the one-dimensional linearized conservation equations for the fluidized state are examined for growth, neutrality, or decay from the perturbation, which together with bed data are evaluated at bubbling conditions to give the bed modulus of elasticity. Both Richardson-Zaki and Carman-Kozeny bed expansion models Of fluidization are examined. The former approach is found to give self-consistent results in which the bed modulus varies linearly with the electric field strength. The results are extended to dc beds as a limiting case of zero field frequency.
机译：使用电场气泡控制将扰动理论应用于细粉（玻璃和FCC）的交流电流化床，以推断粒子间作用力（微尺度）与堆积床弹性模量（宏观尺度）之间的关系。静电感应的范德华力和永久范德华力在具有整体流化床行为的统一理论中建模。电场外推至零强度给出了永久性床层力和大床层弹性模量作为极限情况。生成的方程式包含原子尺度参数和宏尺度参数。通过床的弹性模量根据施加的电场强度确定电荷感应力。半经验方法基于这样的原理，即扰动的流化床的守恒方程在起泡时变得不稳定，从而给出了床模量的特征值，该条件很容易通过实验确定。检查来自一维线性化守恒方程的流化状态特征值的增长，中性或扰动衰减，并在起泡条件下将其与床数据一起评估，以得出床的弹性模量。 Richardson-Zaki和Carman-Kozeny的流化床膨胀模型都经过了检验。发现前一种方法给出了自洽的结果，其中床模量随电场强度线性变化。结果被扩展到直流床，作为零磁场频率的极限情况。

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