D. C. Roach, M. H. Hamdan, "On the Sigmoid Function as a Variable Permeability Model for Brinkman Equation," WSEAS Transactions on Applied and Theoretical Mechanics, vol. 17, pp. 29-38, 2022, DOI:10.37394/232011.2022.17.5
D. C. Roach, M. H. Hamdan. On the Sigmoid Function as a Variable Permeability Model for Brinkman Equation.
WSEAS Transactions on Applied and Theoretical Mechanics. 2022;17:29-38. 10.37394/232011.2022.17.5
WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 17, 2022
On the Sigmoid Function as a Variable Permeability Model for Brinkman Equation
Authors: ,
Abstract: A collection of popular variable permeability functions is presented and discussed in this work. The functions have been used largely in Brinkman’s equation which governs the flow through a porous domain in the presence of solid, macroscopic boundaries on which the no-slip condition is imposed, and has been used in transition layer modelling. A convenient classification of permeability functions is also provided. The sigmoid logistic function is presented in this work in a modified form that is suitable for variable permeability modelling, and is used in obtaining solution to Poiseuille flow through a Brinkman porous channel.
Pages: 29-38 WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 17, 2022, Art. #5 DOI: 10.37394/232011.2022.17.5
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