Mathematical Problems Of Boundary Layer Theory

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Mathematical Models in Boundary Layer Theory

Author : O.A. Oleinik
Publisher : CRC Press
ISBN 13 : 9781584880158
Total Pages : 532 pages
Book Rating : 4.8/5 (81 download)

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Book Synopsis Mathematical Models in Boundary Layer Theory by : O.A. Oleinik

Download or read book Mathematical Models in Boundary Layer Theory written by O.A. Oleinik and published by CRC Press. This book was released on 1999-05-25 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Prandtl first suggested it in 1904, boundary layer theory has become a fundamental aspect of fluid dynamics. Although a vast literature exists for theoretical and experimental aspects of the theory, for the most part, mathematical studies can be found only in separate, scattered articles. Mathematical Models in Boundary Layer Theory offers the first systematic exposition of the mathematical methods and main results of the theory. Beginning with the basics, the authors detail the techniques and results that reveal the nature of the equations that govern the flow within boundary layers and ultimately describe the laws underlying the motion of fluids with small viscosity. They investigate the questions of existence and uniqueness of solutions, the stability of solutions with respect to perturbations, and the qualitative behavior of solutions and their asymptotics. Of particular importance for applications, they present methods for an approximate solution of the Prandtl system and a subsequent evaluation of the rate of convergence of the approximations to the exact solution. Written by the world's foremost experts on the subject, Mathematical Models in Boundary Layer Theory provides the opportunity to explore its mathematical studies and their importance to the nonlinear theory of viscous and electrically conducting flows, the theory of heat and mass transfer, and the dynamics of reactive and muliphase media. With the theory's importance to a wide variety of applications, applied mathematicians-especially those in fluid dynamics-along with engineers of aeronautical and ship design will undoubtedly welcome this authoritative, state-of-the-art treatise.

Boundary-Layer Theory

Author : Hermann Schlichting (Deceased)
Publisher : Springer
ISBN 13 : 366252919X
Total Pages : 814 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Boundary-Layer Theory by : Hermann Schlichting (Deceased)

Download or read book Boundary-Layer Theory written by Hermann Schlichting (Deceased) and published by Springer. This book was released on 2016-10-04 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.

Teaching Electronic Information Literacy

Author : Donald A. Barclay
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Teaching Electronic Information Literacy by : Donald A. Barclay

Download or read book Teaching Electronic Information Literacy written by Donald A. Barclay and published by . This book was released on 1995 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes introducing new users to the Internet and other aspects of passing on electronic information skills.

Mathematical Models in Boundary Layer Theory

Author : V.N. Samokhin
Publisher : Routledge
ISBN 13 : 1351433229
Total Pages : 528 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Mathematical Models in Boundary Layer Theory by : V.N. Samokhin

Download or read book Mathematical Models in Boundary Layer Theory written by V.N. Samokhin and published by Routledge. This book was released on 2018-05-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Prandtl first suggested it in 1904, boundary layer theory has become a fundamental aspect of fluid dynamics. Although a vast literature exists for theoretical and experimental aspects of the theory, for the most part, mathematical studies can be found only in separate, scattered articles. Mathematical Models in Boundary Layer Theory offers the first systematic exposition of the mathematical methods and main results of the theory. Beginning with the basics, the authors detail the techniques and results that reveal the nature of the equations that govern the flow within boundary layers and ultimately describe the laws underlying the motion of fluids with small viscosity. They investigate the questions of existence and uniqueness of solutions, the stability of solutions with respect to perturbations, and the qualitative behavior of solutions and their asymptotics. Of particular importance for applications, they present methods for an approximate solution of the Prandtl system and a subsequent evaluation of the rate of convergence of the approximations to the exact solution. Written by the world's foremost experts on the subject, Mathematical Models in Boundary Layer Theory provides the opportunity to explore its mathematical studies and their importance to the nonlinear theory of viscous and electrically conducting flows, the theory of heat and mass transfer, and the dynamics of reactive and muliphase media. With the theory's importance to a wide variety of applications, applied mathematicians-especially those in fluid dynamics-along with engineers of aeronautical and ship design will undoubtedly welcome this authoritative, state-of-the-art treatise.

Introduction to Interactive Boundary Layer Theory

Author : Ian John Sobey
Publisher : OUP Oxford
ISBN 13 : 9780198506751
Total Pages : 350 pages
Book Rating : 4.5/5 (67 download)

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Book Synopsis Introduction to Interactive Boundary Layer Theory by : Ian John Sobey

Download or read book Introduction to Interactive Boundary Layer Theory written by Ian John Sobey and published by OUP Oxford. This book was released on 2000 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major achievements in fluid mechanics in the last quarter of the twentieth century has been the development of an asymptotic description of perturbations to boundary layers known generally as 'triple deck theory'. These developments have had a major impact on our understanding of laminar fluid flow, particularly laminar separation. It is also true that the theory rests on three quarters of a century of development of boundary layer theory which involves analysis, experimentation and computation. All these parts go together, and to understand the triple deck it is necessary to understand which problems the triple deck resolves and which computational techniques have been applied. This book presents a unified account of the development of laminar boundary layer theory as a historical study together with a description of the application of the ideas of triple deck theory to flow past a plate, to separation from a cylinder and to flow in channels. The book is intended to provide a graduate level teaching resource as well as a mathematically oriented account for a general reader in applied mathematics, engineering, physics or scientific computation.

Singular Perturbations and Boundary Layers

Author : Gung-Min Gie
Publisher : Springer
ISBN 13 : 3030006387
Total Pages : 424 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Singular Perturbations and Boundary Layers by : Gung-Min Gie

Download or read book Singular Perturbations and Boundary Layers written by Gung-Min Gie and published by Springer. This book was released on 2018-11-21 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the domain. Important physical phenomena occur in boundary layers. The most common boundary layers appear in fluid mechanics, e.g., the flow of air around an airfoil or a whole airplane, or the flow of air around a car. Also in many instances in geophysical fluid mechanics, like the interface of air and earth, or air and ocean. This self-contained monograph is devoted to the study of certain classes of singular perturbation problems mostly related to thermic, fluid mechanics and optics and where mostly elliptic or parabolic equations in a bounded domain are considered. This book is a fairly unique resource regarding the rigorous mathematical treatment of boundary layer problems. The explicit methodology developed in this book extends in many different directions the concept of correctors initially introduced by J. L. Lions, and in particular the lower- and higher-order error estimates of asymptotic expansions are obtained in the setting of functional analysis. The review of differential geometry and treatment of boundary layers in a curved domain is an additional strength of this book. In the context of fluid mechanics, the outstanding open problem of the vanishing viscosity limit of the Navier-Stokes equations is investigated in this book and solved for a number of particular, but physically relevant cases. This book will serve as a unique resource for those studying singular perturbations and boundary layer problems at the advanced graduate level in mathematics or applied mathematics and may be useful for practitioners in other related fields in science and engineering such as aerodynamics, fluid mechanics, geophysical fluid mechanics, acoustics and optics.

Methods and Applications of Singular Perturbations

Author : Ferdinand Verhulst
Publisher : Springer Science & Business Media
ISBN 13 : 0387283137
Total Pages : 332 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Methods and Applications of Singular Perturbations by : Ferdinand Verhulst

Download or read book Methods and Applications of Singular Perturbations written by Ferdinand Verhulst and published by Springer Science & Business Media. This book was released on 2006-06-04 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach

Asymptotic Analysis and Boundary Layers

Author : Jean Cousteix
Publisher : Springer Science & Business Media
ISBN 13 : 3540464891
Total Pages : 437 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Asymptotic Analysis and Boundary Layers by : Jean Cousteix

Download or read book Asymptotic Analysis and Boundary Layers written by Jean Cousteix and published by Springer Science & Business Media. This book was released on 2007-03-22 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.

Boundary Layer Flows

Author : Vallampati Ramachandra Prasad
Publisher : BoD – Books on Demand
ISBN 13 : 1839681853
Total Pages : 236 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Boundary Layer Flows by : Vallampati Ramachandra Prasad

Download or read book Boundary Layer Flows written by Vallampati Ramachandra Prasad and published by BoD – Books on Demand. This book was released on 2020-01-22 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts in the field, this book, "Boundary Layer Flows - Theory, Applications, and Numerical Methods" provides readers with the opportunity to explore its theoretical and experimental studies and their importance to the nonlinear theory of boundary layer flows, the theory of heat and mass transfer, and the dynamics of fluid. With the theory's importance for a wide variety of applications, applied mathematicians, scientists, and engineers - especially those in fluid dynamics - along with engineers of aeronautics, will undoubtedly welcome this authoritative, up-to-date book.

The Navier-Stokes Equations

Author : Hermann Sohr
Publisher : Springer Science & Business Media
ISBN 13 : 3034805519
Total Pages : 376 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Navier-Stokes Equations by : Hermann Sohr

Download or read book The Navier-Stokes Equations written by Hermann Sohr and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?uid n in a domain ? of the Euclidean spaceR , described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers’ convenience, in the ?rst two chapters we collect, without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain ?. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n=2,3 that are also most signi?cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n? 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,theliterature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.

Homotopy Analysis Method in Nonlinear Differential Equations

Author : Shijun Liao
Publisher : Springer Science & Business Media
ISBN 13 : 3642251323
Total Pages : 566 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Homotopy Analysis Method in Nonlinear Differential Equations by : Shijun Liao

Download or read book Homotopy Analysis Method in Nonlinear Differential Equations written by Shijun Liao and published by Springer Science & Business Media. This book was released on 2012-06-22 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering. Dr. Shijun Liao, a distinguished professor of Shanghai Jiao Tong University, is a pioneer of the HAM.

Modeling and Computation of Boundary-Layer Flows

Author : Tuncer Cebeci
Publisher : Springer
ISBN 13 : 9783540807315
Total Pages : 502 pages
Book Rating : 4.8/5 (73 download)

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Book Synopsis Modeling and Computation of Boundary-Layer Flows by : Tuncer Cebeci

Download or read book Modeling and Computation of Boundary-Layer Flows written by Tuncer Cebeci and published by Springer. This book was released on 2009-09-02 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the book, Modeling and Computation of Boundary-Layer Flows^ extends the topic to include compressible flows. This implies the inclusion of the energy equation and non-constant fluid properties in the continuity and momentum equations. The necessary additions are included in new chapters, leaving the first nine chapters to serve as an introduction to incompressible flows and, therefore, as a platform for the extension. This part of the book can be used for a one semester course as described below. Improvements to the incompressible flows portion of the book include the removal of listings of computer programs and their description, and their incor poration in two CD-ROMs. A listing of the topics incorporated in the CD-ROM is provided before the index. In Chapter 7 there is a more extended discussion of initial conditions for three-dimensional flows, application of the characteristic box to a model problem and discussion of flow separation in three-dimensional laminar flows. There are also changes to Chapter 8, which now includes new sections on Tollmien-Schlichting and cross-flow instabilities and on the predic tion of transition with parabolised stability equations, and Chapter 9 provides a description of the rational behind interactive boundary-layer procedures.

Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics

Author : Tian Ma
Publisher : American Mathematical Soc.
ISBN 13 : 0821836935
Total Pages : 248 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics by : Tian Ma

Download or read book Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics written by Tian Ma and published by American Mathematical Soc.. This book was released on 2005 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a geometric theory for incompressible flow and its applications to fluid dynamics. The main objective is to study the stability and transitions of the structure of incompressible flows and its applications to fluid dynamics and geophysical fluid dynamics. The development of the theory and its applications goes well beyond its original motivation of the study of oceanic dynamics. The authors present a substantial advance in the use of geometric and topological methods to analyze and classify incompressible fluid flows. The approach introduces genuinely innovative ideas to the study of the partial differential equations of fluid dynamics. One particularly useful development is a rigorous theory for boundary layer separation of incompressible fluids. The study of incompressible flows has two major interconnected parts. The first is the development of a global geometric theory of divergence-free fields on general two-dimensional compact manifolds. The second is the study of the structure of velocity fields for two-dimensional incompressible fluid flows governed by the Navier-Stokes equations or the Euler equations. Motivated by the study of problems in geophysical fluid dynamics, the program of research in this book seeks to develop a new mathematical theory, maintaining close links to physics along the way. In return, the theory is applied to physical problems, with more problems yet to be explored. The material is suitable for researchers and advanced graduate students interested in nonlinear PDEs and fluid dynamics.

Handbook of Wind Energy Aerodynamics

Author : Bernhard Stoevesandt
Publisher : Springer Nature
ISBN 13 : 3030313077
Total Pages : 1495 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Handbook of Wind Energy Aerodynamics by : Bernhard Stoevesandt

Download or read book Handbook of Wind Energy Aerodynamics written by Bernhard Stoevesandt and published by Springer Nature. This book was released on 2022-08-04 with total page 1495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides both a comprehensive overview and deep insights on the state-of-the-art methods used in wind turbine aerodynamics, as well as their advantages and limits. The focus of this work is specifically on wind turbines, where the aerodynamics are different from that of other fields due to the turbulent wind fields they face and the resultant differences in structural requirements. It gives a complete picture of research in the field, taking into account the different approaches which are applied. This book would be useful to professionals, academics, researchers and students working in the field.

Intermediate Fluid Mechanics

Author : James Liburdy
Publisher :
ISBN 13 : 9781955101103
Total Pages : pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Intermediate Fluid Mechanics by : James Liburdy

Download or read book Intermediate Fluid Mechanics written by James Liburdy and published by . This book was released on 2021-09-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physical and Computational Aspects of Convective Heat Transfer

Author : T. Cebeci
Publisher : Springer Science & Business Media
ISBN 13 : 366202411X
Total Pages : 497 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Physical and Computational Aspects of Convective Heat Transfer by : T. Cebeci

Download or read book Physical and Computational Aspects of Convective Heat Transfer written by T. Cebeci and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with the transport of thermal energy in flows of practical significance. The temperature distributions which result from convective heat transfer, in contrast to those associated with radiation heat transfer and conduction in solids, are related to velocity characteristics and we have included sufficient information of momentum transfer to make the book self-contained. This is readily achieved because of the close relation ship between the equations which represent conservation of momentum and energy: it is very desirable since convective heat transfer involves flows with large temperature differences, where the equations are coupled through an equation of state, as well as flows with small temperature differences where the energy equation is dependent on the momentum equation but the momentum equation is assumed independent of the energy equation. The equations which represent the conservation of scalar properties, including thermal energy, species concentration and particle number density can be identical in form and solutions obtained in terms of one dependent variable can represent those of another. Thus, although the discussion and arguments of this book are expressed in terms of heat transfer, they are relevant to problems of mass and particle transport. Care is required, however, in making use of these analogies since, for example, identical boundary conditions are not usually achieved in practice and mass transfer can involve more than one dependent variable.

Boundary-Layer Theory

Author : Herrmann Schlichting
Publisher : Springer Science & Business Media
ISBN 13 : 9783540662709
Total Pages : 840 pages
Book Rating : 4.6/5 (627 download)

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Book Synopsis Boundary-Layer Theory by : Herrmann Schlichting

Download or read book Boundary-Layer Theory written by Herrmann Schlichting and published by Springer Science & Business Media. This book was released on 2003-05-20 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the almost legendary textbook by Schlichting completely revised by Klaus Gersten is now available. This book presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with emphasis on the flow past bodies (e.g. aircraft aerodynamics). It contains the latest knowledge of the subject based on a thorough review of the literature over the past 15 years. Yet again, it will be an indispensable source of inexhaustible information for students of fluid mechanics and engineers alike.