Fluid Mechanics of Viscoplasticity

This book discusses the kinematics and dynamics of flows of fluids exhibiting a yield stress, continuum mechanics, analytical solutions, perturbation methods, numerical modeling, and applications. It includes new sections on flows with pressure-dependent rheological parameters, wall slip, and Boltzmann lattice materials.

Format: Hardback
Length: 392 pages
Publication date: 15 April 2022
Publisher: Springer Nature Switzerland AG

This comprehensive book delves into the intricate realm of kinematics and dynamics, focusing on the study of flows of fluids exhibiting yield stress. It provides a detailed exposition of continuum mechanics, which governs the field of fluid mechanics. The book is organized into two chapters, dedicated to presenting analytical solutions for a wide range of steady and unsteady flows involving viscoplastic fluids. These flows encompass scenarios with pressure-dependent rheological parameters, adding complexity to the mathematical equations.

To address these challenges, perturbation methods, variational inequalities, and energy methods are explored, offering valuable tools for solving fluid flow problems. Furthermore, numerical modeling techniques such as augmented Lagrangian, operator splitting, finite difference, and lattice Boltzmann methods are employed to simulate these complex flows with precision.

In the second edition of this book, significant additions have been made. New sections have been dedicated to exploring flows of yield stress fluids with pressure-dependent rheological parameters, analyzing flows with wall slip, and deriving the fundamental equations for Boltzmann lattice materials. Moreover, a wealth of new material has been included on the lubrication approximation and its applications in finite difference methods.

This second edition of the book serves as a valuable resource for researchers, engineers, and students interested in advancing their understanding of fluid dynamics and its applications. It provides a thorough exploration of the theoretical foundations, numerical methodologies, and practical considerations involved in studying flows of fluids exhibiting yield stress.

Weight: 776g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030985028
Edition number: 2nd ed. 2022