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Slow Viscous Flows: Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions (With Cd-rom)

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Release : 2007-09-28
Genre : Science
Kind : eBook
Book Rating : 437/5 ( reviews)

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Book Synopsis Slow Viscous Flows: Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions (With Cd-rom) by : P N Shankar

Download or read book Slow Viscous Flows: Qualitative Features And Quantitative Analysis Using Complex Eigenfunction Expansions (With Cd-rom) written by P N Shankar. This book was released on 2007-09-28. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a unified and systematic account of internal, external and unsteady slow viscous flows, including the latest advances of the last decade, some of which are due to the author. The book shows how the method of eigenfunctions, in conjunction with least squares, can be used to solve problems of low Reynolds number flows, including three-dimensional internal and unsteady flows, which until recently were considered intractable. Although the methods used are quantitative, much stress is laid on understanding the qualitative nature of these intriguing flows. A secondary purpose of the book is to explain how the complex eigenfunction method can be used to solve problems in science and engineering.Although primarily aimed at graduate students, academics and research engineers in the areas of fluid mechanics and applied mathematics, care has been taken, through the use of numerous diagrams and much discussion, to explain to the non-specialist the qualitative features of these complex flows./a

Slow Viscous Flows

Download Slow Viscous Flows PDF Online Free

Author :
Release : 2008
Genre :
Kind : eBook
Book Rating : 968/5 ( reviews)

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Book Synopsis Slow Viscous Flows by : P. N. Shankar

Download or read book Slow Viscous Flows written by P. N. Shankar. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt:

Slow Viscous Flows

Download Slow Viscous Flows PDF Online Free

Author :
Release : 2007-01-01
Genre : Science
Kind : eBook
Book Rating : 810/5 ( reviews)

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Book Synopsis Slow Viscous Flows by : P. N. Shankar

Download or read book Slow Viscous Flows written by P. N. Shankar. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a unified and systematic account of internal, external and unsteady slow viscous flows, including the latest advances of the last decade, some of which are due to the author. The book shows how the method of eigenfunctions, in conjunction with least squares, can be used to solve problems of low Reynolds number flows, including three-dimensional internal and unsteady flows, which until recently were considered intractable. Although the methods used are quantitative, much stress is laid on understanding the qualitative nature of these intriguing flows. A secondary purpose of the book is to explain how the complex eigenfunction method can be used to solve problems in science and engineering. Although primarily aimed at graduate students, academics and research engineers in the areas of fluid mechanics and applied mathematics, care has been taken, through the use of numerous diagrams and much discussion, to explain to the non-specialist the qualitative features of these complex flows.

Numerical Methods for Fluid Dynamics

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Author :
Release : 2010-09-14
Genre : Mathematics
Kind : eBook
Book Rating : 126/5 ( reviews)

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Book Synopsis Numerical Methods for Fluid Dynamics by : Dale R. Durran

Download or read book Numerical Methods for Fluid Dynamics written by Dale R. Durran. This book was released on 2010-09-14. Available in PDF, EPUB and Kindle. Book excerpt: This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Slow Viscous Flow

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Release : 2014-04-15
Genre : Mathematics
Kind : eBook
Book Rating : 354/5 ( reviews)

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Book Synopsis Slow Viscous Flow by : William E. Langlois

Download or read book Slow Viscous Flow written by William E. Langlois. This book was released on 2014-04-15. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo wrote, “Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics”; replace “Mechanics” by “Fluid mechanics” and here we are. - From the Preface to the Second Edition Although the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large, and turbulence in flows remains a challenging problem in classical physics. Like its predecessor, the revised and expanded Second Edition of this book addresses the basic principles of fluid mechanics and solves fluid flow problems where viscous effects are the dominant physical phenomena. Much progress has occurred in the half a century that has passed since the edition of 1964. As predicted, aspects of hydrodynamics once considered offbeat have risen to importance. For example, the authors have worked on problems where variations in viscosity and surface tension cannot be ignored. The advent of nanotechnology has broadened interest in the hydrodynamics of thin films, and hydromagnetic effects and radiative heat transfer are routinely encountered in materials processing. This monograph develops the basic equations, in the three most important coordinate systems, in a way that makes it easy to incorporate these phenomena into the theory. The book originally described by Prof. Langlois as "a monograph on theoretical hydrodynamics, written in the language of applied mathematics" offers much new coverage including the second principle of thermodynamics, the Boussinesq approximation, time dependent flows, Marangoni convection, Kovasznay flow, plane periodic solutions, Hele-Shaw cells, Stokeslets, rotlets, finite element methods, Wannier flow, corner eddies, and analysis of the Stokes operator.

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