 Numerical modelling of incompressible flows for Newtonian and non-Newtonian fluidsRadka Keslerová and Karel Kozel Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 8, 1783-1794 Abstract: This paper deals with numerical solution of two-dimensional and three-dimensional steady and unsteady laminar incompressible flows for Newtonian and non-Newtonian shear thickening fluids flow through a branching channel. The mathematical model used in this work is the generalized system of Navier–Stokes equations. The right hand side of this system is defined by the power-law model. The finite volume method combined with artificial compressibility method is used for numerical simulations of generalized Newtonian fluids flow. Numerical solution is divided into two parts, steady state and unsteady. Steady state solution is achieved for t→∞ using steady boundary conditions and followed by steady residual behaviour. For unsteady solution high artificial compressibility coefficient β2 is considered. An artificial compressibility method with a pulsation of the pressure in the outlet boundary is used. Keywords: Newtonian fluid; Non-Newtonian fluid; Runge–Kutta method; Finite volume method; Laminar incompressible viscous flow (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:8:p:1783-1794 DOI: 10.1016/j.matcom.2009.12.005 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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