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

Autor:	Juliana Maria da Silva, Sergio Rodrigues Fontes, Valdemir Garcia Ferreira
Rok vydání:	2011
Předmět:	Finite volume method Discretization Applied Mathematics Upwind scheme Geometry Laminar flow Mechanics Non-Newtonian fluid Physics::Fluid Dynamics Computational Mathematics Fluid dynamics Newtonian fluid Conservation of mass Mathematics
Zdroj:	Applied Mathematics and Computation. 217:7955-7965
ISSN:	0096-3003
DOI:	10.1016/j.amc.2011.02.081
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7eee95d54312fb4d1f2565187f22a111 https://doi.org/10.1016/j.amc.2011.02.081 Zobrazit plný text záznamu Full Text from ScienceDirect