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An improved Green's function method for isothermal effectiveness factor determination in one- and two-dimensional catalyst geometries

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Title An improved Green's function method for isothermal effectiveness factor determination in one- and two-dimensional catalyst geometries
 
Creator MANDALIYA, DD
MOHARIR, AS
GUDI, RD
 
Subject Computation
Diffusion
Isothermal
Kinetics
Numerical analysis
Reaction engineering
INTEGRAL METHOD
CHEMICAL-REACTION
DIFFUSION
PELLET
CONDUCTION
RECTANGLE
SERIES
 
Description Traditional approach to effectiveness factor calculations uses finite difference methods to discretize two-point boundary value differential equations. The finite difference method (FDM) approximates derivatives using only nearby concentration values; however, an approach that takes into account the influence of concentrations away from a point is highly intuitive and requires careful consideration. In this paper we extend the integral formulation for the case when external limitations are present. We also propose a new approach based on the use of two-dimensional Green's function for effectiveness factor calculations in two-dimensional geometries, and provide a generic procedure for concentration profile calculation in one- and two-dimensional geometries. The proposed approach retains the representation rigor of analytical approach and reduces the computational complexities associated with FDM. It has been shown that the presence of external transport limitation shall modify the Green's function obtained considering only internal transport limitations. The problem of very high sensitivity of the boundary contribution term in the Green's Function Solution for two-dimensional cylindrical particle is addressed by variable transformation. It has been shown in this paper that Green's Function method provides superior performance for larger step size when compared with the FDM approach, thus providing computationally efficient approach. (c) 2013 Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2014-10-15T16:46:12Z
2014-10-15T16:46:12Z
2013
 
Type Article
 
Identifier CHEMICAL ENGINEERING SCIENCE, 91197-211
http://dx.doi.org/10.1016/j.ces.2012.12.046
http://dspace.library.iitb.ac.in/jspui/handle/100/15245
 
Language en