Abstract

Numerical Simulation of Non-Newtonian Flow focuses on the numerical simulation of non-Newtonian flow using finite difference and finite element techniques. Topics range from the basic equations governing non-Newtonian fluid mechanics to flow classification and finite element calculation of flow (generalized Newtonian flow and viscoelastic flow). An overview of finite difference and finite element methods is also presented.
Comprised of 11 chapters, this volume begins with an introduction to non-Newtonian mechanics, paying particular attention to the rheometrical properties of non-Newtonian fluids as well as non-Newtonian flow in complex geometries. The role of non-Newtonian fluid mechanics is also considered. The discussion then turns to the basic equations governing non-Newtonian fluid mechanics, including Navier Stokes equations and rheological equations of state. The next chapter describes a flow classification in which the various flow problems are grouped under five main headings: flows dominated by shear viscosity, slow flows (slightly elastic liquids), small deformation flows, nearly-viscometric flows, and long-range memory effects in complex flows. The remainder of the book is devoted to numerical analysis of non-Newtonian fluids using finite difference and finite element techniques.
This monograph will be of interest to students and practitioners of physics and mathematics.
Overall, the book is highly recommended and will be a necessity for anyone working in this field.
Applied Mechanics Reviews
This is a good book, and in parts a very good book, largely because it is easy to read and understand and because it is a most felicitous blend of textbook and research monograph... If Elsevier can maintain the same standard for later volumes in the Rheology Series, of which this is the first, then they will do a singular service to modern scientific literature, in helping to make available to a wide readership some of the almost impenetrable specialist literature that has been produced in the last thirty years.
Journal of Fluid Mechanics