A Taylor—Galerkin finite element method for non-Newtonian flows
| Autor: | M.F. Webster, P. Townsend, D. Ding, H. R. Tamaddon-Jahromi |
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| Rok vydání: | 1992 |
| Předmět: |
Numerical Analysis
Applied Mathematics General Engineering Numerical solution of the convection–diffusion equation Mechanics Space (mathematics) Non-Newtonian fluid Physics::Fluid Dynamics Viscosity Classical mechanics Galerkin finite element method Thermal Newtonian fluid Transient (oscillation) Mathematics |
| Zdroj: | International Journal for Numerical Methods in Engineering. 34:741-757 |
| ISSN: | 1097-0207 0029-5981 |
| DOI: | 10.1002/nme.1620340304 |
| Popis: | Some recent results are reviewed that indicate the appropriate nature of Taylor–Galerkin based algorithms for solving model convection–diffusion problems accurately in time and for simulating more complex non-Newtonian flows, such as those arising in the polymer industry. Initially attention is given therefore to linear and non-linear convection–diffusion model problems in two space dimensions, and then to transient problems involving heating effects. Newtonian and generalized Newtonian models are considered for both power-law and Carreau models for various parameters. Effects of shear-rate changes and temperature variations through transient build up periods are discussed in relation to their influence on the viscosity and viscous heating for thermal Peclet numbers of 1 and 100. |
| Databáze: | OpenAIRE |
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