A numerical methodology for simulation of non-Newtonian viscoelastic flows. (3rd July 2020)

• Record Type: Journal Article
• Authors: Tomio, J. C.; Martins, M. M.; Vaz, M.; Zdanski, P. S. B.
• Is Part Of: Numerical heat transfer. Volume 78:Number 6(2020)
• Page Start: 439
• Page End: 453
• Publication Date: 2020-07-03
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; 621.4022
• DOI: 10.1080/10407790.2020.1787051
• Languages: English
• ISSNs: 1040-7790

Abstract

Abstract: The non-Newtonian fluids presenting viscoelastic flow behavior are found in many engineering applications. The development of a new numerical scheme for solution of this class of problems is the main goal of the present work. The proposed methodology adopts a second-order fully implicit finite difference approximation to discretize the convection and diffusion terms in the governing equations. Besides, the discretization is accomplished in a collocated mesh arrangement being used an Euler implicit pseudo-transient march in time aiming at steady-state solutions. Finally, it is worth mentioning that under-relaxation parameters are not needed, and the odd-even decoupling problem is avoided using artificial dissipations terms that are externally controlled by the user. The examples illustrating the application of the present method are: the non-Newtonian flows of viscoelastic materials in a plane channel and in a lid-driven cavity. The validation/verification performed indicates that the results are truly encouraging.