A Mathematical Introduction To Fluid Mechanics PDF Download
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Author | : A. J. Chorin |
Publisher | : Springer Science & Business Media |
Total Pages | : 213 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1468400827 |
Download A Mathematical Introduction to Fluid Mechanics Book in PDF, ePub and Kindle
These notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University of California, Berkeley during the Spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.
Author | : Alexandre J. Chorin |
Publisher | : Springer Science & Business Media |
Total Pages | : 180 |
Release | : 2013-11-27 |
Genre | : Science |
ISBN | : 1461208831 |
Download A Mathematical Introduction to Fluid Mechanics Book in PDF, ePub and Kindle
A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.
Author | : Richard E. Meyer |
Publisher | : Courier Corporation |
Total Pages | : 194 |
Release | : 2012-03-08 |
Genre | : Science |
ISBN | : 0486138941 |
Download Introduction to Mathematical Fluid Dynamics Book in PDF, ePub and Kindle
Geared toward advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences, this introductory text covers kinematics, momentum principle, Newtonian fluid, compressibility, and other subjects. 1971 edition.
Author | : Alexandre Joel Chorin |
Publisher | : Springer |
Total Pages | : 169 |
Release | : 1993 |
Genre | : Fluid mechanics |
ISBN | : 9783540979180 |
Download A Mathematical Introduction to Fluid Mechanics Book in PDF, ePub and Kindle
A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.
Author | : Chung Fang |
Publisher | : Springer |
Total Pages | : 643 |
Release | : 2018-12-31 |
Genre | : Technology & Engineering |
ISBN | : 3319918214 |
Download An Introduction to Fluid Mechanics Book in PDF, ePub and Kindle
This textbook provides a concise introduction to the mathematical theory of fluid motion with the underlying physics. Different branches of fluid mechanics are developed from general to specific topics. At the end of each chapter carefully designed problems are assigned as homework, for which selected fully worked-out solutions are provided. This book can be used for self-study, as well as in conjunction with a course in fluid mechanics.
Author | : Rutherford Aris |
Publisher | : Courier Corporation |
Total Pages | : 320 |
Release | : 2012-08-28 |
Genre | : Mathematics |
ISBN | : 048613489X |
Download Vectors, Tensors and the Basic Equations of Fluid Mechanics Book in PDF, ePub and Kindle
Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.
Author | : Alexandre |
Publisher | : |
Total Pages | : 192 |
Release | : 2008-12-01 |
Genre | : |
ISBN | : 9788184891263 |
Download A Mathematical Introduction To Fluid Mechanics, 3E Book in PDF, ePub and Kindle
Author | : Vladimir S. Ajaev |
Publisher | : Springer Science & Business Media |
Total Pages | : 219 |
Release | : 2012-02-07 |
Genre | : Technology & Engineering |
ISBN | : 1461413419 |
Download Interfacial Fluid Mechanics Book in PDF, ePub and Kindle
Interfacial Fluid Mechanics: A Mathematical Modeling Approach provides an introduction to mathematical models of viscous flow used in rapidly developing fields of microfluidics and microscale heat transfer. The basic physical effects are first introduced in the context of simple configurations and their relative importance in typical microscale applications is discussed. Then, several configurations of importance to microfluidics, most notably thin films/droplets on substrates and confined bubbles, are discussed in detail. Topics from current research on electrokinetic phenomena, liquid flow near structured solid surfaces,evaporation/condensation, and surfactant phenomena are discussed in the later chapters.
Author | : G P Galdi |
Publisher | : CRC Press |
Total Pages | : 148 |
Release | : 1996-08-01 |
Genre | : Science |
ISBN | : 9780582298101 |
Download Mathematical Theory in Fluid Mechanics Book in PDF, ePub and Kindle
This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wahl t the Fourth Winter School in Mathematical Theory in Fluid Mechanics, held in Paseky, Czech Republic, from December 3-9, 1995. In these papers the authors present the latest research and updated surveys of relevant topics in the various areas of theoretical fluid mechanics. Specifically, Frehse and Ruzicka study the question of the existence of a regular solution to Navier-Stokes equations in five dimensions by means of weighted estimates. Pileckas surveys recent results regarding the solvability of the Stokes and Navier-Stokes system in domains with outlets at infinity. K.R. Rajagopal presents an introduction to a continuum approach to mixture theory with the emphasis on the constitutive equation, boundary conditions and moving singular surface. Finally, Kaiser and von Wahl bring new results on stability of basic flow for the Taylor-Couette problem in the small-gap limit. This volume would be indicated for those in the fields of applied mathematicians, researchers in fluid mechanics and theoretical mechanics, and mechanical engineers.
Author | : Faith A. Morrison |
Publisher | : Cambridge University Press |
Total Pages | : 945 |
Release | : 2013-04-15 |
Genre | : Mathematics |
ISBN | : 1107003539 |
Download An Introduction to Fluid Mechanics Book in PDF, ePub and Kindle
"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"--