Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 4
15
Views
16
CrossRef citations to date
0
Altmetric
Original Articles

GREEN ELEMENT DESCRIPTION OF MASS TRANSFER IN REACTING SYSTEMS

Pages 483-498 | Received 08 Jan 1996, Accepted 23 Apr 1996, Published online: 25 Apr 2007

REFERENCES

  • Y. T. Shah and J. A. Paraskos , Approximate Solutions to Single and Two Phase Axial Dispersion Problems in Isothermal Tubular Flow Reactors , Chem. Eng. Sci ., vol. 30 , pp. p465ndash;471 p, 1975 .
  • P. L. Mills and M. P. Dudukovic , A Comparison of Current Models for Isothermal Trickle Bed Reactors—Application to a Model Reaction System , in M. P. Dudukovic and P. L. Mills (eds.) , Chemical and Catalytic Reactor Modelling , pp. p37ndash;59 p, 1964 .
  • C. McGreavy , J. S. Andrade , Jr., and K. Rajagopal , Consistent Evaluation of Effective Diffusion and Reaction in Pore Networks , Chem. Eng. Sci ., vol. 47 , pp. p2751ndash;2756 p, 1992 .
  • P. Aris , The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts, 1, The Theory of Steady State , Clarendon Press , Oxford , 1975 .
  • J. J. Carberry and M. M. Wendel , A Computer Model of the Fixed Bed Catalytic Reactor , AIChE J ., vol. 9 , p. 129 , 1963 .
  • G. F. Froment , Kinetics and Reactor Design in the Thermal Cracking of Olefins Production , Chem. Eng. Sci ., vol. 47 , pp. p2163ndash;2177 p, 1992 .
  • S. L. Grotch , The Solution of a Boundary Value Problem in Reactor Design Using Galerkin's Method , AIChE J ., vol. 15 , pp. p463ndash;465 p, 1969 .
  • G. F. Carey and B. A. Finlayson , Orthogonal Collocation on Finite Elements , Chem. Eng. Sci ., vol. 30 , pp. p587ndash;596 p, 1975 .
  • H. F. Rase , Chemical Reactor Design for Process Plants , Chap. 6 , John Wiley , New York , 1977 .
  • T. T. Tsotis , A. M. Champagne , S. P. Vasilendas , Z. D. Zaka , and R. G. Miner , Packed Bed Catalytic Membrane Reactors , Chem. Eng. Sci ., vol. 47 , pp. p2903ndash;2908 p, 1992 .
  • P. A. Ramachandran , Boundary Integral Solution Method for Axial-Dispersion with Reaction Problems , Chem. Eng. Sci ., vol. 45 , pp. p49ndash;54 p, 1990 .
  • P. A. Ramachandran , Diffusion-Reaction Problem Revisited via a New Boundary Element Discretization , Chem. Eng. Sci ., vol. 45 , pp. p3525ndash;3532 p, 1990 .
  • G. F. Dargush and P. K. Banerjee , Application of the Boundary Element Method to Transient Heat Conduction , Int. J. Numer. Meth. Eng . vol. 31 , pp. p1231ndash;1247 p, 1991 .
  • O. E. Lafe , A Boundary Integral Formulation for Direct and Inverse Problems in Heterogeneous and Compressible Porous Media , Proc. NATO Advanced Study Institute on the Fundamentals of Transport Phenomena in Porous Media , Newark , DE , 1985 .
  • P. W. Partridge and C. W. Brebbia , The Dual Reciprocity Boundary Element Method for the Diffusion Convection Equation , Proc. Computer Methods Water Resources IX, Southampton , vol. 1 , pp. p131ndash;140 p, 1992 .
  • D. Nardini and C. A. Brebbia , A New Approach to Free Vibration Analysis Using Boundary Elements , in C. A. Brebbia (ed.) , Boundary Element Methods in Engineering , Springer-Verlag , Berlin , 1982 .
  • W. Tang , Transforming Domain into Boundary Integral in Boundary Element Method . A Generalized Approach . Springer-Verlag , Berlin , 1988 .
  • L. C. Wrobel , A Novel Boundary Element Formulation for Nonlinear Transient Heat Conduction , in R. W. Lewis et al. (eds.) , Numerical Methods in Thermal Problems , vol. 5 , part 2 , pp. 1348 – 1357 , Pineridge Press , Swansea , U.K. , 1987 .
  • A. E. Taigbenu , The Green Element Method , Int. J. Numer. Meth. Eng ., vol. 38 , pp. p2241ndash;2263 p, 1995 .
  • O. O. Onyejekwe , A Green Element Solution of the Diffusion Equation Proc. 34th Heat Transfer and Fluid Mechanics Institute , California State University , Sacramento , CA , pp. p77ndash;98 p, 1995 .
  • A. E. Taigbenu and O. O. Onyejekwe , Green Element Simulations of the Transient Nonlinear Unsaturated Flow Equations , Appl. Math. Mod ., vol. 19 , pp. p675ndash;684 p, 1995 .
  • H. A. Schwartz , über einige abbildungsaufgaben , Ges. Math. Abh ., vol. 11 , pp. p65ndash;83 p, 1869 .
  • O. C. Zienkiewicz and R. Z. Taylor , The Finite Element Method , vol. 1 , Basic Formulation, 4th ed ., McGraw-Hill , London , 1994 .
  • L. T. Fan and R. C. Bailey , Axial Diffusion in Isothermal Tubular Flow Reactors , Chem. Eng. ScL , vol. 13 , p. 63 , 1960 .
  • A. Burghadt and T. Zaleski , Longitudinal Dispersion at Small Peclet Numbers in Chemical Flow Reactors , Chem. Eng. ScL , vol. 23 , pp. p575ndash;591 p, 1968 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.