An evaluation of three upwinding approximations for numerical modeling the flow in tubular membrane of Newtonian and non-Newtonian fluids

Autor(es)

Silva, J. M. ^[1] ; Ferreira, V. G. ^[2] ; Fontes, S. R. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Alfenas, Inst Sci & Technol, Pocos De Caldas, MG - Brazil

^[2] Univ Sao Paulo, Inst Math & Comp Sci, Dept Appl Math & Stat, BR-13566590 Sao Carlos, SP - Brazil

^[3] Univ Sao Paulo, Dept Mech Engn, Sch Engn Sao Carlos, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematics and Computation; v. 217, n. 20, p. 7955-7965, JUN 15 2011.
• Citações Web of Science: 2

Resumo

In this paper, the laminar fluid flow of Newtonian and non-Newtonian of aqueous solutions in a tubular membrane is numerically studied. The mathematical formulation, with associated initial and boundary conditions for cylindrical coordinates, comprises the mass conservation, momentum conservation and mass transfer equations. These equations are discretized by using the finite-difference technique on a staggered grid system. Comparisons of the three upwinding schemes for discretization of the non-linear (convective) terms are presented. The effects of several physical parameters on the concentration profile are investigated. The numerical results compare favorably with experimental data and the analytical solutions. (C) 2011 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 04/16064-9 - Mecânica dos fluídos não estacionária: aplicações em aeronáutica e em reologia
• Beneficiário: José Alberto Cuminato
• Modalidade de apoio: Auxílio à Pesquisa - Temático