Premium
A solution via generalised intergral transform technique for the simultaneous transport processes during combustion of wood cylinders
Author(s) -
Macêdo E. N.,
Cotta R. M.,
Orlande H. R. B.
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20001220)49:11<1455::aid-nme999>3.0.co;2-8
Subject(s) - integral transform , combustion , convergence (economics) , mathematics , filter (signal processing) , series (stratigraphy) , mathematical analysis , mathematical optimization , computer science , chemistry , organic chemistry , paleontology , economics , computer vision , biology , economic growth
A non‐linear moving boundary diffusion problem is proposed as a simple model for the heat transfer during combustion of wood cylinders. Such a problem is solved here by applying the generalized integral transform technique . A new filtering strategy, denoted as local‐instantaneous filter , is used in order to accelerate the convergence of the series‐solution obtained with the present hybrid numerical–analytical technique. We show that the use of such filtering approach reduces the stiffness of the system of ordinary differential equations, resultant from the integral transformation of the original problem. Hence, subroutines based on simpler and faster methods can be used for the solution of such systems. Results are presented in the paper for the combustion of cylinders of different sizes and involving different initial moisture contents and densities. The effects on the solution of different models available in the literature for the evaluation of thermal conductivity and specific heat are also addressed on the paper. Copyright © 2000 John Wiley & Sons, Ltd.