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An evaluation of three upwinding approximations for numerical modeling the flow in tubular membrane of Newtonian and non-Newtonian fluids |
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| Authors: | JM Silva VG FerreiraSR Fontes |
| Institution: | a Institute of Science and Technology, Federal University of Alfenas, BR 267 - Rodovia José Aurélio Vilela, No. 11.999, Km 533, Cidade Universitária - Poços de Caldas-MG, Brazil b Department of Applied Mathematics and Statistics, Institute of Mathematics and Computer Sciences, University of São Paulo, São Carlos-SP, Brazil c Department of Mechanical Engineering, School of Engineering of São Carlos, University of São Paulo, Av. Trabalhador São-Carlense, 400, C.P. 359, 13566-590 São Carlos-SP, Brazil |
| Abstract: | 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. |
| Keywords: | Numerical model Convective scheme Tubular membrane Non-Newtonian |
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