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Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows

Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows PDF Author: Suripeddi Srinivas
Publisher: Springer Nature
ISBN: 9811919291
Category : Technology & Engineering
Languages : en
Pages : 383

Book Description
This book presents select proceedings of the 5th International Conference on Applications of Fluid Dynamics (ICAFD 2020) organized by the School of Mechanical Engineering Science, VIT-AP University, India, in association with the University of Johannesburg, Auckland Park Kingsway Campus, South Africa. It identifies the existing challenges in the area of applied mathematics and mechanics (of solids and fluids) and emphasizes the importance of establishing new methods and algorithms to address these challenges. The topics covered include diverse applications of fluid dynamics in aerospace dynamics and propulsion, atmospheric sciences, compressible flow, environmental fluid dynamics, control structures, viscoelasticity and mechanics of composites. Given the contents, the book will be a useful resource for researchers as well as practitioners working in the area of mechanical engineering and applied mathematics.

Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows

Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows PDF Author: Suripeddi Srinivas
Publisher: Springer Nature
ISBN: 9811919291
Category : Technology & Engineering
Languages : en
Pages : 383

Book Description
This book presents select proceedings of the 5th International Conference on Applications of Fluid Dynamics (ICAFD 2020) organized by the School of Mechanical Engineering Science, VIT-AP University, India, in association with the University of Johannesburg, Auckland Park Kingsway Campus, South Africa. It identifies the existing challenges in the area of applied mathematics and mechanics (of solids and fluids) and emphasizes the importance of establishing new methods and algorithms to address these challenges. The topics covered include diverse applications of fluid dynamics in aerospace dynamics and propulsion, atmospheric sciences, compressible flow, environmental fluid dynamics, control structures, viscoelasticity and mechanics of composites. Given the contents, the book will be a useful resource for researchers as well as practitioners working in the area of mechanical engineering and applied mathematics.

Elementary Fluid Dynamics

Elementary Fluid Dynamics PDF Author: D. J. Acheson
Publisher: Oxford University Press
ISBN: 0198596790
Category : Mathematics
Languages : en
Pages : 408

Book Description
This textbook provides a clear and concise introduction to both theory and application of fluid dynamics. It has a wide scope, frequent references to experiments, and numerous exercises (with hints and answers).

Vorticity and Incompressible Flow

Vorticity and Incompressible Flow PDF Author: Andrew J. Majda
Publisher: Cambridge University Press
ISBN: 9780521639484
Category : Mathematics
Languages : en
Pages : 562

Book Description
This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.

Applications Of Pade' Approximation Theory In Fluid Dynamics

Applications Of Pade' Approximation Theory In Fluid Dynamics PDF Author: Amilcare Pozzi
Publisher: World Scientific
ISBN: 9814504092
Category : Mathematics
Languages : en
Pages : 257

Book Description
Although Padé presented his fundamental paper at the end of the last century, the studies on Padé's approximants only became significant in the second part of this century.Padé procedure is related to the theory of continued fractions, and some convergence theorems can be expressed only in terms of continued fractions. Further, Padé approximants have some advantages of practical applicability with respect to the continued-fraction theory. Moreover, as Chisholm notes, a given power series determines a set of approximants which are usually unique, whereas there are many ways of writing an associated continued fraction.The principal advantage of Padé approximants with respect to the generating Taylor series is that they provide an extension beyond the interval of convergence of the series.Padé approximants can be applied in many parts of fluid-dynamics, both in steady and in nonsteady flows, both in incompressible and in compressible regimes.This book is divided into four parts. The first one deals with the properties of the Padé approximants that are useful for the applications and illustrates, with the aid of diagrams and tables, the effectiveness of this technique in the field of applied mathematics. The second part recalls the basic equations of fluid-dynamics (those associated with the names of Navier-Stokes, Euler and Prandtl) and gives a quick derivation of them from the general balance equation. The third shows eight examples of the application of Padé approximants to steady flows, also taking into account the influence of the coupling of heat conduction in the body along which a fluid flows with conduction and convection in the fluid itself. The fourth part considers two examples of the application of Padé approximants to unsteady flows.

Stability Criteria for Fluid Flows

Stability Criteria for Fluid Flows PDF Author: Adelina Georgescu
Publisher: World Scientific
ISBN: 9814289566
Category : Science
Languages : en
Pages : 418

Book Description
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.

Recent Advances in Mathematical and Statistical Methods

Recent Advances in Mathematical and Statistical Methods PDF Author: D. Marc Kilgour
Publisher: Springer
ISBN: 331999719X
Category : Computers
Languages : en
Pages : 622

Book Description
This book focuses on the recent development of methodologies and computation methods in mathematical and statistical modelling, computational science and applied mathematics. It emphasizes the development of theories and applications, and promotes interdisciplinary endeavour among mathematicians, statisticians, scientists, engineers and researchers from other disciplines. The book provides ideas, methods and tools in mathematical and statistical modelling that have been developed for a wide range of research fields, including medical, health sciences, biology, environmental science, engineering, physics and chemistry, finance, economics and social sciences. It presents original results addressing real-world problems. The contributions are products of a highly successful meeting held in August 2017 on the main campus of Wilfrid Laurier University, in Waterloo, Canada, the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS-2017). They make this book a valuable resource for readers interested not only in a broader overview of the methods, ideas and tools in mathematical and statistical approaches, but also in how they can attain valuable insights into problems arising in other disciplines.

High-Order Methods for Incompressible Fluid Flow

High-Order Methods for Incompressible Fluid Flow PDF Author: M. O. Deville
Publisher: Cambridge University Press
ISBN: 9780521453097
Category : Mathematics
Languages : en
Pages : 532

Book Description
Publisher Description

Mathematical Biofluiddynamics

Mathematical Biofluiddynamics PDF Author: James Lighthill
Publisher: SIAM
ISBN: 1611970512
Category : Technology & Engineering
Languages : en
Pages : 278

Book Description
Addresses external biofluiddynamics concerning animal locomotion and internal biofluiddynamics concerning heat and mass transport.

Recent Progress in Flow Control for Practical Flows

Recent Progress in Flow Control for Practical Flows PDF Author: Piotr Doerffer
Publisher: Springer
ISBN: 3319505688
Category : Technology & Engineering
Languages : en
Pages : 505

Book Description
This book explores the outcomes on flow control research activities carried out within the framework of two EU-funded projects focused on training-through-research of Marie Sklodowska-Curie doctoral students. The main goal of the projects described in this monograph is to assess the potential of the passive- and active-flow control methods for reduction of fuel consumption by a helicopter. The research scope encompasses the fields of structural dynamics, fluid flow dynamics, and actuators with control. Research featured in this volume demonstrates an experimental and numerical approach with a strong emphasis on the verification and validation of numerical models. The book is ideal for engineers, students, and researchers interested in the multidisciplinary field of flow control.

Numerical Methods for Wave Equations in Geophysical Fluid Dynamics

Numerical Methods for Wave Equations in Geophysical Fluid Dynamics PDF Author: Dale R. Durran
Publisher: Springer Science & Business Media
ISBN: 1475730810
Category : Mathematics
Languages : en
Pages : 476

Book Description
Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.