Fluid Mechanics of Viscoplasticity

ISBN-13: 9783662456163 / Angielski / Twarda / 2015 / 276 str.

Raja R. Huilgol

Opis

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."

Recenzje

"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)

Spis treści

The Basic Features of Viscoplasticity.- Kinematics of Fluid Flow.- Fundamental Equations.- Constitutive Equations.- Analytic Solutions: Steady Flows.- Analytic Solutions: Unsteady Shearing Flows.- Analytical Approximation Techniques.- Variational Principles and Variational Inequalities.- Energy Methods in Action: Equality, Inequality and Stability.- Numerical Modelling.