应用科学学报 ›› 2006, Vol. 24 ›› Issue (2): 208-212.

• 论文 • 上一篇    下一篇

多相气体对流扩散与气固反应问题的解析解

徐曾和, 李明春, 田彦文   

  1. 东北大学工程力学研究所, 辽宁沈阳 110004
  • 收稿日期:2004-12-27 修回日期:2005-06-02 出版日期:2006-03-31 发布日期:2006-03-31
  • 作者简介:徐曾和,博士,教授,研究方向:多孔介质中的多相化学反应与传递过程、渗流的流固耦合问题、岩石结构的失效破坏与岩爆,Email:xuzenghe@yahoo.com.cn
  • 基金资助:
    国家自然科学基金重点项目(50136020);教育部重点项目(01056)资助

An Analytical Solution to the Problem of Convection, Diffusion of Multi-phase Gases with Gas-Solid Reaction

XU Zeng-he, LI Ming-chun, TIAN Yan-wen   

  1. Engineering Mechanics Institute, Northeastern University, Shenyang 110004, China
  • Received:2004-12-27 Revised:2005-06-02 Online:2006-03-31 Published:2006-03-31

摘要: 研究填充床中的气固反应aA(g)+bB(s)=cC(g)+dD(s).建立了反应气体A、产物气体C的对流反应扩散方程,并求出解析解.研究表明,颗粒半径对气体浓度和反应转化有着重要的影响,这种影响可以用Thiele数来估计;对流对反应气体和气体产物有不同的影响,但对流的本质不变.由于Thiele数与反应器长度的平方成正比,Peclet数与反应器长度的一次方成正比,因此反应器长度也是影响反应转化的重要因素;对气体浓度的分布,化学反应的作用比对流大.

关键词: 对流反应扩散, Thiele数, Peclet数, 多相气体气固反应, 解析解

Abstract: The gas-solid reaction aA(g)+bB(s)=cC(g)+dD(s) taking place in packed bed is studied.Convection reaction-diffusion equations for gaseous reactant and gas product are presented and solved analytically.Case computation shows that the radius of pellet affects concentration of gases considerably, and the effect can be measured by Thiele module.Since Thiele module is proportional to L2 and Peclet module is proportional to L, the length of reactor itself is an important factor to affect the reaction and conversion.The overall rate of REV has greater influence on the reaction and conversion that take place in packed bed than that of convection.Therefore it is important to give the exact reaction term.

Key words: convection-reaction-diffusion-analytical solution, multi-phase gas gas-solid reaction, Thiele number, Peclet number

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