Computational rheology

Pearson,. I.R.A., 1994. Report on University of Wales Institute of Non-Newtonian Fluid Mechanics Mini Symposium on Continuum and Microstructural Modelling in Computational Rheology. /. Non-Newtonian Fluid Mech. 55, 203 -205. 

Keunings, R., Progress and challenges in computational rheology. Rheol. Acta 29,556 (1990). 

R. G. Owen and T. N. Phillips, Computational Rheology (Imperial College Press, London, 2002). 

Mitsonhs, E., Computational rheology with integral constitutive equations, Appl. Rheol, 9, 198-203 (1999). 

Chin WC (2001) Computational rheology for pipeline and annular flow. Butttrwfilled polymer systems. Kluwer Academic, The Netherlands... 

CONNFFESSIT cuts across two different and, up to recently, largely unrelated fields traditional continuum-mechanical computational rheology and stochastic dynamic methods for polymers. Brief reviews are presented separately. A third subsection is devoted to alternative methods in Newtonian and non-Newtonian CFD which have a direct bearing on the subject of this work. 

The recent micro-macro methods, CONNFFESSIT among them, can, in spite of their youth, already be seriously considered a tool complementary to those of classical computational rheology. 

There are other classes of fluids, such as Herschel-Bulkley fluids and Bingham plastics, that follow different stress-strain relationships, which are sometimes useful in different drilling and cementing applications. For a discussion on three-dimensional effects and a rigorous analysis of the stress tensor, the reader should refer to Computational Rheology. For now, we will continue our discussion of mudcake shear stress, but turn our attention to power law fluids. The governing partial differential equations of motion, even for simple relationships of the form given in Equation 17-57, are nonlinear and therefore rarely amenable to simple mathematical solution. For example, the axial velocity v (r) in our cylindrical radial flow satisfies... 

Chin, W.C., Computational Rheology for Pipeline and Annular Flow, Butterworth-Heinemann, Boston, MA, 2001. 

Owens, R., Phillips, T. (2002). Computational rheology. London Imperial College Press. 

This integral model has been used in numerical flow simulations for a number of flow problems more or less successfully (see Refs [28,31-34]). A recent review [35] on the subject gives a list of problems solved with this model through numerical simulation, including many flows from polymer-processing operations. Other flows solved with a number of different constitutive equations can be found in a recent book on computational rheology [36]. 

Owens, R.G. and Phillips, T.N. (2002) Computational Rheology, World Scientific. Keunings, R. (2001) Advances in the computer modeling of the flow of... 

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