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A new analytical formulation of retention effects on particle diffusion processes Anais da ABC (AABC)
Bevilacqua,Luiz; Galeão,Augusto C.N.R.; Costa,Flavio P..
The ultimate purpose of this paper is to present a new analytical formulation to simulate diffusion with retention in a reactive medium under stable thermodynamic conditions. The analysis of diffusion with retention in a continuum medium is developed after the solution of an equivalent problem using a discrete approach. The new law may be interpreted as the reduction of all diffusion processes with retention to a unifying phenomenon that can adequately simulate the retention effect namely a circulatory motion. It is remarkable that the governing equation requires a fourth order differential term as suggested by the discrete approach. The relative fraction of diffusion particles β is introduced as a control parameter in the diffusion-retention law as...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Diffusion; Retention; Constitutive law; Discrete approach; Population dynamics; Fourth order differential equations.
Ano: 2011 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000400031
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