 Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscositiesJ. Hron, J. Málek, J. Nečas and K.R. Rajagopal Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 297-315 Abstract: There is a considerable amount of experimental evidence that unequivocally shows that there are fluids whose viscosity depends on both the mean normal stress (pressure) and the shear rate. Recently, global existence of solutions for the flow of such fluids for the three-dimensional case was established by Málek, Nečas and Rajagopal. Here, we present a proof for the global existence of solutions for such fluids for the two-dimensional case. After establishing the global-in-time existence, we discretize the equations via the finite element method, outline the Newton type iterative method to solve the non-linear algebraic equations and provide numerical computations of the steady flow of such fluids in geometries that have technological significance. Keywords: Pressure-dependent viscosity; Shear-dependent viscosity; Incompressible fluid; Global-in-time existence; Weak solution; Finite element discretization; Newton iterative solver; Numerical simulation (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:61:y:2003:i:3:p:297-315 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 |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.