Microhydrodynamics, Brownian Motion, and Complex Fluids
Title | Microhydrodynamics, Brownian Motion, and Complex Fluids PDF eBook |
Author | Michael D. Graham |
Publisher | Cambridge University Press |
Pages | 282 |
Release | 2018-09-13 |
Genre | Science |
ISBN | 110861440X |
This is an introduction to the dynamics of fluids at small scales, the physical and mathematical underpinnings of Brownian motion, and the application of these subjects to the dynamics and flow of complex fluids such as colloidal suspensions and polymer solutions. It brings together continuum mechanics, statistical mechanics, polymer and colloid science, and various branches of applied mathematics, in a self-contained and integrated treatment that provides a foundation for understanding complex fluids, with a strong emphasis on fluid dynamics. Students and researchers will find that this book is extensively cross-referenced to illustrate connections between different aspects of the field. Its focus on fundamental principles and theoretical approaches provides the necessary groundwork for research in the dynamics of flowing complex fluids.
Microhydrodynamics, Brownian Motion, and Complex Fluids
Title | Microhydrodynamics, Brownian Motion, and Complex Fluids PDF eBook |
Author | Michael D. Graham |
Publisher | Cambridge University Press |
Pages | 281 |
Release | 2018-09-13 |
Genre | Mathematics |
ISBN | 1107024641 |
Provides a foundation for understanding complex fluids by integrating fluid dynamics, statistical physics, and polymer and colloid science.
Microhydrodynamics and Complex Fluids
Title | Microhydrodynamics and Complex Fluids PDF eBook |
Author | Dominique Barthes-Biesel |
Publisher | CRC Press |
Pages | 254 |
Release | 2012-06-04 |
Genre | Science |
ISBN | 1466566914 |
Drawing on the author's lectures on fluid mechanics modeling, this text takes a rigorous approach to the topic while maintaining a clear, easy-to-understand style. It deals with the main physical phenomena that occur in slow, inertialess viscous flows commonly encountered in various industrial, biophysical, and natural processes. Suitable for students in chemical or mechanical engineering, bioengineering, and physics, the book discusses a wide variety of topics, including confined flows, complex fluids, and rheology. Each situation is illustrated with examples and multi-part problems that stress analytical solutions and the physical interpretation of the mathematical results.
The Fluid Dynamics of Cell Motility
Title | The Fluid Dynamics of Cell Motility PDF eBook |
Author | Eric Lauga |
Publisher | Cambridge University Press |
Pages | 392 |
Release | 2020-11-05 |
Genre | Science |
ISBN | 1316805786 |
Fluid dynamics plays a crucial role in many cellular processes, including the locomotion of cells such as bacteria and spermatozoa. These organisms possess flagella, slender organelles whose time periodic motion in a fluid environment gives rise to motility. Sitting at the intersection of applied mathematics, physics and biology, the fluid dynamics of cell motility is one of the most successful applications of mathematical tools to the understanding of the biological world. Based on courses taught over several years, it details the mathematical modelling necessary to understand cell motility in fluids, covering phenomena ranging from single-cell motion to instabilities in cell populations. Each chapter introduces mathematical models to rationalise experiments, uses physical intuition to interpret mathematical results, highlights the history of the field and discusses notable current research questions. All mathematical derivations are included for students new to the field, and end-of-chapter exercises help consolidate understanding and practise applying the concepts.
Introduction to Complex Variables and Applications
Title | Introduction to Complex Variables and Applications PDF eBook |
Author | Mark J. Ablowitz |
Publisher | Cambridge University Press |
Pages | 422 |
Release | 2021-03-25 |
Genre | Mathematics |
ISBN | 110896334X |
The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.
Flowing Matter
Title | Flowing Matter PDF eBook |
Author | Federico Toschi |
Publisher | Springer Nature |
Pages | 313 |
Release | 2019-09-25 |
Genre | Science |
ISBN | 3030233707 |
This open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.
Dynamics of Blood Cell Suspensions in Microflows
Title | Dynamics of Blood Cell Suspensions in Microflows PDF eBook |
Author | Annie Viallat |
Publisher | CRC Press |
Pages | 457 |
Release | 2019-12-09 |
Genre | Medical |
ISBN | 1315395134 |
The first book to provide a physical perspective of blood microcirculation Draws attention to the potential of this physical approach for novel applications in medicine Edited by specialists in this field, with chapter contributions from subject area specialists