Navier-Stokes Flow Around a Rotating Obstacle PDF Download
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Author: Sarka Necasova
Publisher: Springer
ISBN: 9462392315
Category : Mathematics
Languages : en
Pages : 100
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Book Description
The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them.The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.
Author: Sarka Necasova
Publisher: Springer
ISBN: 9462392315
Category : Mathematics
Languages : en
Pages : 100
Get Book Here
Book Description
The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them.The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.
Author: Michel Mareschal
Publisher: Springer Science & Business Media
ISBN: 1468413392
Category : Science
Languages : en
Pages : 368
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Book Description
This volume contains the proceedings of a workshop which was held in Brussels during the month of August 1989. A strong motivation for organizing this workshop was to bring together people who have been involved in the microscopic simulation of phenomena occuring on "large" space and time scales. Indeed, results obtained in the last years by different groups tend to support the idea that macroscopic behavior already appears in systems small enough so as to be modelled by a collection of interacting particles on a (super) computer. Such an approach is certainly desirable to study situations where no satisfactory phenomenological theory is known to hold, or where solutions of the equations are too hard to obtain numerically. It is also interesting from a more fundamental point of view, namely the investigation of the limits of validity of the macroscopic description itself. The main technique used in bridging the gap between the macro and micro worlds has been the molecular dynamics simulations, that is the numerical solution of the equations of motion of the model particles which constitute the system under study, a gas, a liquid or even a solid. However, this technique is by no means the only one.
Author: Philippe G. Ciarlet
Publisher: Gulf Professional Publishing
ISBN: 9780444512246
Category : Numerical analysis
Languages : en
Pages : 1187
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Book Description
Includes following subjects: Solution of equations in Rn, Finite difference methods, Finite element methods, Techniques of scientific computing, Optimization theory and systems science, Numerical methods for fluids, Numerical methods for solids, Specific applications
Author: Faith A. Morrison
Publisher: Cambridge University Press
ISBN: 1107003539
Category : Mathematics
Languages : en
Pages : 945
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Book Description
"Why Study Fluid Mechanics? 1.1 Getting Motivated Flows are beautiful and complex. A swollen creek tumbles over rocks and through crevasses, swirling and foaming. A child plays with sticky tafy, stretching and reshaping the candy as she pulls it and twist it in various ways. Both the water and the tafy are fluids, and their motions are governed by the laws of nature. Our goal is to introduce the reader to the analysis of flows using the laws of physics and the language of mathematics. On mastering this material, the reader becomes able to harness flow to practical ends or to create beauty through fluid design. In this text we delve deeply into the mathematical analysis of flows, but before beginning, it is reasonable to ask if it is necessary to make this significant mathematical effort. After all, we can appreciate a flowing stream without understanding why it behaves as it does. We can also operate machines that rely on fluid behavior - drive a car for exam- 15 behavior? mathematical analysis. ple - without understanding the fluid dynamics of the engine, and we can even repair and maintain engines, piping networks, and other complex systems without having studied the mathematics of flow What is the purpose, then, of learning to mathematically describe fluid The answer to this question is quite practical: knowing the patterns fluids form and why they are formed, and knowing the stresses fluids generate and why they are generated is essential to designing and optimizing modern systems and devices. While the ancients designed wells and irrigation systems without calculations, we can avoid the wastefulness and tediousness of the trial-and-error process by using mathematical models"--
Author: Yoshihiro Shibata
Publisher: Springer
ISBN: 4431564578
Category : Mathematics
Languages : en
Pages : 616
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Book Description
This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11–14 November 2014 at Waseda University in Tokyo. The contributions address subjects in one- and two-phase fluid flows, including cavitation, liquid crystal flows, plasma flows, and blood flows. Written by internationally respected experts, these papers highlight the connections between mathematical, experimental, and computational fluid dynamics. The book is aimed at a wide readership in mathematics and engineering, including researchers and graduate students interested in mathematical fluid dynamics.
Author: Doug McLean
Publisher: John Wiley & Sons
ISBN: 1118454227
Category : Technology & Engineering
Languages : en
Pages : 578
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Book Description
Much-needed, fresh approach that brings a greater insight into the physical understanding of aerodynamics Based on the author’s decades of industrial experience with Boeing, this book helps students and practicing engineers to gain a greater physical understanding of aerodynamics. Relying on clear physical arguments and examples, Mclean provides a much-needed, fresh approach to this sometimes contentious subject without shying away from addressing "real" aerodynamic situations as opposed to the oversimplified ones frequently used for mathematical convenience. Motivated by the belief that engineering practice is enhanced in the long run by a robust understanding of the basics as well as real cause-and-effect relationships that lie behind the theory, he provides intuitive physical interpretations and explanations, debunking commonly-held misconceptions and misinterpretations, and building upon the contrasts provided by wrong explanations to strengthen understanding of the right ones. Provides a refreshing view of aerodynamics that is based on the author’s decades of industrial experience yet is always tied to basic fundamentals. Provides intuitive physical interpretations and explanations, debunking commonly-held misconceptions and misinterpretations Offers new insights to some familiar topics, for example, what the Biot-Savart law really means and why it causes so much confusion, what “Reynolds number” and “incompressible flow” really mean, and a real physical explanation for how an airfoil produces lift. Addresses "real" aerodynamic situations as opposed to the oversimplified ones frequently used for mathematical convenience, and omits mathematical details whenever the physical understanding can be conveyed without them.
Author: Gerhard H. Jirka
Publisher: CRC Press
ISBN: 9780203027325
Category : Science
Languages : en
Pages : 692
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Book Description
This text presents the key findings of the International Symposium held in Delft in 2003, which explored the process of shallow flows. Shallow flows are found in lowland rivers, lakes, estuaries, bays, coastal areas and in density-stratified atmospheres, and may be observed in puddles, as in oceans. They impact on the life and work of a w
Author: Tomáš Bodnár
Publisher: Springer Nature
ISBN: 3030681440
Category : Mathematics
Languages : en
Pages : 263
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Book Description
This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.
Author: Joseph Holden
Publisher: Routledge
ISBN: 1000465047
Category : Science
Languages : en
Pages : 156
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Book Description
This second edition, enhanced with more than 30 new figures, provides an up-to-date overview of physical geography suitable for all those with a personal or professional interest in environmental processes, climate change and understanding of the Earth’s landforms and dynamics. The text provides explanations of processes, enabling the reader to understand the interconnected nature of the Earth’s system, and has been updated to include new developments and case studies with insights from satellite observations and data analysis using artificial intelligence. The book begins by outlining the nature of the Earth system, concepts around environmental thresholds and feedbacks, planetary boundaries for human survival, and humans as a dominant driver of environmental change. The second chapter examines features associated with plate tectonics, the role of weathering and erosion in shaping landscapes, and soil functions and management. Chapter 3 deals with the climate system, describing drivers of the major atmospheric and oceanic circulation systems, the natural greenhouse effect, and regional climate and weather experienced for different zones across the planet. The global carbon cycle and long-term climate change are considered in Chapter 4 before moving on to tackle the latest knowledge on contemporary and future climate change, its impacts, mitigation and adaptation. Chapter 5 facilitates key understanding of hydrology, river channel dynamics, water quality, coastal processes, glacier dynamics and cold region landforms while Chapter 6 deals with the distribution and patterns of life on Earth and of the underlying processes that result in these patterns. The book concludes with a brief overview of considerations for managing environmental change and hazards, and requirements for achieving the UN’s Sustainable Development Goals. This reader-friendly text brings together wide-ranging subject areas from across physical geography, covering the basics of the subject at a level suitable for those about to embark on a university degree or for those who just want to get a solid basic understanding of the physical environment around them. The book, which contains box features with examples and a glossary to aid understanding, acts as a primer for further study, or in itself can be used as a basic aid to understanding fundamental principles and processes associated with physical geography.
Author: Christian von Dehsen
Publisher: Routledge
ISBN: 1135951098
Category : Philosophy
Languages : en
Pages : 846
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Book Description
Philosophers and Religious Leaders provides a synopsis of the lives and legacies of 200 men and women from the areas of religion and philosophy who have "changed the world." These individuals have developed, extended, or exemplified ideas fundamental to the way human beings perceive the meaning and purpose of their own lives and of their societies. Some have challenged prevailing convictions and worked for immediate change during their lifetimes; others have proposed new modes of thinking that have flourished only after their passing.
