Geldart-B类颗粒在气固流化床中的床层膨胀与流型转变
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CIESC Journal , 2019, 70(7): 2472-2479
化工学报 2019 年 第 70 卷 第 7 期 |
DOI：10.11949/0438-1157.20190013
研究论文Βιβλιοθήκη Geldart-B 类颗粒在气固流化床中的床层膨胀与流型转变
文献标志码： A
文章编号： 0438-1157 （2019） 07-2472-08
Bed expansion and fluidized states change of Geldart-B particle gas-solid
fluidized bed
MA Wangyu, LUO Zhenghong
particles. The relationship between bed expansion ratio and bubbling fluidized flow regimes is further discussed. At
the critical point of the flow regime transitions, the critical expansion ratio can be obtained from particle properties
formulas that converge across the full range of values are constructed by introducing power series and numerical
processing. The calculation results are closed to the experimental data of silica, Diakon and a small Geldart-B
Abstract: Based on the combination of theoretical derivation and empirical formula, the general formula of the bed
expansion ratio of fluidized process of Geldart-B particles in fluidized bed is established, and the convergence
型） 进行了验证，结果表明该模型很好地预测了床层膨胀比。进一步讨论了床层膨胀比与鼓泡流化流型变化之
间的关系，给出了临界膨胀比的取值规律。有关床层膨胀比的研究结果一定程度上可有效改善流化床的监控，
优化操作条件选取。
关键词： 流化床；两相流；流态化；Geldart-B 类颗粒；床层膨胀；流型转变
中图分类号： O 359
iteration formula of bed expansion ratio is constructed in the whole value range. The formula has divergence when
the initial bed height is small or the gas velocity is large and is not always available. Bed expansion ratio iteration
引用本文：马旺宇, 罗正鸿 . Geldart-B 类颗粒在气固流化床中的床层膨胀与流型转变[J]. 化工学报, 2019, 70(7): 2472-2479
Citation：MA Wangyu, LUO Zhenghong. Bed expansion and fluidized states change of Geldart-B particle gas-solid fluidized bed[J]. CIESC Journal,
(Department of Chemical Engineering, School of Chemistry and Chemical Engineering, State Key Laboratory of Metal Matrix
Composites, Shanghai Jiao Tong University, Shanghai 200240, China)
马旺宇，罗正鸿
（上海交通大学化学化工学院化学工程系，金属基复合材料国家重点实验室，上海 200240）
摘要： 采用理论推导和经验公式相结合方法，建立了 Geldart-B 类颗粒在流化床中流化过程的床层膨胀比 （R）
的通式，并在全取值范围内构建了床层膨胀比的收敛迭代公式。采用不同颗粒的流化实验数据对上述通式 （模
收稿日期：2019-01-04
修回日期：2019-04-15
通信作者：罗正鸿（1972—），男，博士，教授，luozh@
第一作者：马旺宇（1995—），男，硕士研究生，1017540809@
基金项目：国家自然科学基金项目(21776173，21625603，U1862201，91834303)
and bed structure parameters. The main factors affecting bed expansion ratio can be divided into three aspects:
operating conditions, particle properties and bed structure. It is difficult for the bed to expand when the Archimedes
number of particles is large, the initial bed height is high and the bed diameter is small.
Key words: fluidized-bed; two-phase flow; fluidization; Geldart-B particles; bed expansion; fluidized states change
化工学报 2019 年 第 70 卷 第 7 期 |
DOI：10.11949/0438-1157.20190013
研究论文Βιβλιοθήκη Geldart-B 类颗粒在气固流化床中的床层膨胀与流型转变
文献标志码： A
文章编号： 0438-1157 （2019） 07-2472-08
Bed expansion and fluidized states change of Geldart-B particle gas-solid
fluidized bed
MA Wangyu, LUO Zhenghong
particles. The relationship between bed expansion ratio and bubbling fluidized flow regimes is further discussed. At
the critical point of the flow regime transitions, the critical expansion ratio can be obtained from particle properties
formulas that converge across the full range of values are constructed by introducing power series and numerical
processing. The calculation results are closed to the experimental data of silica, Diakon and a small Geldart-B
Abstract: Based on the combination of theoretical derivation and empirical formula, the general formula of the bed
expansion ratio of fluidized process of Geldart-B particles in fluidized bed is established, and the convergence
型） 进行了验证，结果表明该模型很好地预测了床层膨胀比。进一步讨论了床层膨胀比与鼓泡流化流型变化之
间的关系，给出了临界膨胀比的取值规律。有关床层膨胀比的研究结果一定程度上可有效改善流化床的监控，
优化操作条件选取。
关键词： 流化床；两相流；流态化；Geldart-B 类颗粒；床层膨胀；流型转变
中图分类号： O 359
iteration formula of bed expansion ratio is constructed in the whole value range. The formula has divergence when
the initial bed height is small or the gas velocity is large and is not always available. Bed expansion ratio iteration
引用本文：马旺宇, 罗正鸿 . Geldart-B 类颗粒在气固流化床中的床层膨胀与流型转变[J]. 化工学报, 2019, 70(7): 2472-2479
Citation：MA Wangyu, LUO Zhenghong. Bed expansion and fluidized states change of Geldart-B particle gas-solid fluidized bed[J]. CIESC Journal,
(Department of Chemical Engineering, School of Chemistry and Chemical Engineering, State Key Laboratory of Metal Matrix
Composites, Shanghai Jiao Tong University, Shanghai 200240, China)
马旺宇，罗正鸿
（上海交通大学化学化工学院化学工程系，金属基复合材料国家重点实验室，上海 200240）
摘要： 采用理论推导和经验公式相结合方法，建立了 Geldart-B 类颗粒在流化床中流化过程的床层膨胀比 （R）
的通式，并在全取值范围内构建了床层膨胀比的收敛迭代公式。采用不同颗粒的流化实验数据对上述通式 （模
收稿日期：2019-01-04
修回日期：2019-04-15
通信作者：罗正鸿（1972—），男，博士，教授，luozh@
第一作者：马旺宇（1995—），男，硕士研究生，1017540809@
基金项目：国家自然科学基金项目(21776173，21625603，U1862201，91834303)
and bed structure parameters. The main factors affecting bed expansion ratio can be divided into three aspects:
operating conditions, particle properties and bed structure. It is difficult for the bed to expand when the Archimedes
number of particles is large, the initial bed height is high and the bed diameter is small.
Key words: fluidized-bed; two-phase flow; fluidization; Geldart-B particles; bed expansion; fluidized states change