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Fluid Mechanics of Viscoplasticity
Synopsis
In this book, we shall consider the kinematics and dynamics of the flows of fluids exhibiting a yield stress. To highlight the principal characteristics of such fluids, the first chapter emphasizes the role played by the yield stress. Next, a careful description of the continuum mechanics behind the constitutive equations for incompressible and compressible viscoplastic fluids is given in Chapters 2-4. In Chapters 5 and 6 analytical solutions to several steady and unsteady flows of Bingham fluids are presented.
The subsequent Chapters 7-10 are concerned with the development of variational principles and their numerical solutions, along with perturbation methods which play a significant role in numerical simulations.
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What Reviewers Are Saying
"This book is an introduction to viscoplastic fluid
mechanics. ... This book will be a valuable resource for applied mathematicians
and fluid dynamicists." (Valeriu Al. Sava, zbMATH 1328.76001, 2016)