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: Paperback / softback
Length: 392 pages
Publication date: 16 April 2023
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 in depth. These techniques offer valuable tools for solving fluid flow problems, enabling researchers to obtain precise solutions with computational efficiency.

Furthermore, the book employs numerical modeling techniques such as augmented Lagrangian, operator splitting, finite difference, and lattice Boltzmann methods. These methods enable the simulation of complex fluid flows with remarkable accuracy, allowing researchers to gain insights into the behavior of fluids under various conditions.

In the second edition of this book, several new sections have been added to enhance its coverage. These sections delve into the realm of flows of yield stress fluids with pressure-dependent rheological parameters, flows with wall slip, and the derivation of fundamental equations for Boltzmann lattice materials. Additionally, the book now includes extensive material on the lubrication approximation and its applications in fluid dynamics.

This second edition of the book is an invaluable resource for researchers, engineers, and students interested in the field of fluid mechanics. It offers a comprehensive and up-to-date treatment of the subject, covering a wide range of topics and providing detailed explanations and computational methodologies. With its extensive coverage and practical insights, this book will undoubtedly serve as a valuable tool for advancing the understanding and application of fluid dynamics in various industries and scientific disciplines.

Weight: 623g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030985059
Edition number: 2nd ed. 2022