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Author : Arthur G. Hansen
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)
Download or read book Similarity Analyses of Boundary Value Problems in Engineering written by Arthur G. Hansen and published by . This book was released on 1964 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian Cantwell
Publisher : Cambridge University Press
ISBN 13 : 9780521777407
Total Pages : 660 pages
Book Rating : 4.7/5 (774 download)
Download or read book Introduction to Symmetry Analysis Paperback with CD-ROM written by Brian Cantwell and published by Cambridge University Press. This book was released on 2002-09-23 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.
Author : R. Seshadri
Publisher : Springer Science & Business Media
ISBN 13 : 1461251028
Total Pages : 232 pages
Book Rating : 4.4/5 (612 download)
Download or read book Group Invariance in Engineering Boundary Value Problems written by R. Seshadri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: REFEREN CES . 156 9 Transforma.tion of a Boundary Value Problem to an Initial Value Problem . 157 9.0 Introduction . 157 9.1 Blasius Equation in Boundary Layer Flow . 157 9.2 Longitudinal Impact of Nonlinear Viscoplastic Rods . 163 9.3 Summary . 168 REFERENCES . . . . . . . . . . . . . . . . . . 168 . 10 From Nonlinear to Linear Differential Equa.tions Using Transformation Groups. . . . . . . . . . . . . . 169 . 10.1 From Nonlinear to Linear Differential Equations . 170 10.2 Application to Ordinary Differential Equations -Bernoulli's Equation . . . . . . . . . . . 173 10.3 Application to Partial Differential Equations -A Nonlinear Chemical Exchange Process . 178 10.4 Limitations of the Inspectional Group Method . 187 10.5 Summary . 188 REFERENCES . . . . 188 11 Miscellaneous Topics . 190 11.1 Reduction of Differential Equations to Algebraic Equations 190 11.2 Reduction of Order of an Ordinary Differential Equation . 191 11.3 Transformat.ion From Ordinary to Partial Differential Equations-Search for First Integrals . . . . . . " 193 . 11.4 Reduction of Number of Variables by Multiparameter Groups of Transformations . . . . . . . . .. . . . 194 11.5 Self-Similar Solutions of the First and Second Kind . . 202 11.6 Normalized Representation and Dimensional Consideration 204 REFERENCES .206 Problems . 208 .220 Index .. Chapter 1 INTRODUCTION AND GENERAL OUTLINE Physical problems in engineering science are often described by dif ferential models either linear or nonlinear. There is also an abundance of transformations of various types that appear in the literature of engineer ing and mathematics that are generally aimed at obtaining some sort of simplification of a differential model.
Author : T.Y. Na
Publisher : Academic Press
ISBN 13 : 008095653X
Total Pages : 321 pages
Book Rating : 4.0/5 (89 download)
Download or read book Computational Methods in Engineering Boundary Value Problems written by T.Y. Na and published by Academic Press. This book was released on 1980-01-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Engineering Boundary Value Problems
Author : Josef Kuneš
Publisher : Springer Science & Business Media
ISBN 13 : 1907343776
Total Pages : 451 pages
Book Rating : 4.9/5 (73 download)
Download or read book Similarity and Modeling in Science and Engineering written by Josef Kuneš and published by Springer Science & Business Media. This book was released on 2012-04-07 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the reader with a general tool-box to apply to their specific needs. Two important tools are presented: dimensional analysis and the similarity analysis methods. The fundamental point of view, enabling one to sort all models, is that of information flux between a model and an original expressed by the similarity and abstraction Each chapter includes original examples and applications. In this respect, the models can be divided into several groups. The following models are dealt with separately by chapter; mathematical and physical models, physical analogues, deterministic, stochastic, and cybernetic computer models. The mathematical models are divided into asymptotic and phenomenological models. The phenomenological models, which can also be called experimental, are usually the result of an experiment on an complex object or process. The variable dimensionless quantities contain information about the real state of boundary conditions, parameter (non-linearity) changes, and other factors. With satisfactory measurement accuracy and experimental strategy, such models are highly credible and can be used, for example in control systems.
Author : John H. Merkin
Publisher : Academic Press
ISBN 13 : 0128232056
Total Pages : 294 pages
Book Rating : 4.1/5 (282 download)
Download or read book Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids written by John H. Merkin and published by Academic Press. This book was released on 2021-09-09 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids presents new similarity solutions for fluid mechanics problems, including heat transfer of viscous fluids, boundary layer flow, flow in porous media, and nanofluids due to continuous moving surfaces. After discussing several examples of these problems, similarity solutions are derived and solved using the latest proven methods, including bvp4c from MATLAB, the Keller-box method, singularity methods, and more. Numerical solutions and asymptotic results for limiting cases are also discussed in detail to investigate how flow develops at the leading edge and its end behavior. Detailed discussions of mathematical models for boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid will help readers from a range of disciplinary backgrounds in their research. Relevant background theory will also be provided, thus helping readers solidify their computational work with a better understanding of physical phenomena. - Provides mathematical models that address important research themes, such as boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid - Gives detailed numerical explanations of all solution procedures, including bvp4c from MATLAB, the Keller-box method, and singularity methods - Includes examples of computer code that will save readers time in their own work
Author : P.S. Westine
Publisher : Elsevier
ISBN 13 : 0444598138
Total Pages : 397 pages
Book Rating : 4.4/5 (445 download)
Download or read book Similarity Methods in Engineering Dynamics written by P.S. Westine and published by Elsevier. This book was released on 2012-12-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is the second revised and updated edition of probably the most practical sourcebook on similarity methods and modeling techniques available. Written by leading authorities who incorporate many of the latest advances in the field, this new work maps out techniques for modeling as well as instrumentation and data analysis for an extremely wide array of problems in engineering dynamics. This practical reference uses experimental test data on various engineering problems demonstrating exactly how and why these similarity methods work. The problems involve spread of oil slicks, explosive cratering, car crashes, space vehicle heat exchange, explosive forming, and more. The spectrum of topics covered and number of examples are far greater than in other texts. Of particular importance are the dissimilar material modeling techniques which bring new versatility and freedom to the modeler in structural dynamics. The book also contains a clear, in-depth discussion of the theory underlying modeling and includes alternate methods for developing model laws. The work will undoubtedly prove invaluable to every professional involved in testing or design of dynamic experiments.
Author : C. Rogers
Publisher : Academic Press
ISBN 13 : 0080958702
Total Pages : 433 pages
Book Rating : 4.0/5 (89 download)
Download or read book Nonlinear Boundary Value Problems in Science and Engineering written by C. Rogers and published by Academic Press. This book was released on 1989-11-14 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overall, our object has been to provide an applications-oriented text that is reasonably self-contained. It has been used as the basis for a graduate-level course both at the University of Waterloo and at the Centro Studie Applicazioni in Tecnologie Avante, Bari, Italy. The text is aimed, in the main, at applied mathematicians with a strong interest in physical applications or at engineers working in theoretical mechanics.
Author : Robert Greenkorn
Publisher : CRC Press
ISBN 13 : 1351989774
Total Pages : 1066 pages
Book Rating : 4.3/5 (519 download)
Download or read book Momentum, Heat, and Mass Transfer Fundamentals written by Robert Greenkorn and published by CRC Press. This book was released on 2018-10-03 with total page 1066 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents the fundamentals of momentum, heat, and mass transfer from both a microscopic and a macroscopic perspective. Features a large number of idealized and real-world examples that we worked out in detail."
Author :
Publisher : Academic Press
ISBN 13 : 0080956092
Total Pages : 237 pages
Book Rating : 4.0/5 (89 download)
Download or read book Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding written by and published by Academic Press. This book was released on 1973-08-15 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author : George Bluman
Publisher : Springer Science & Business Media
ISBN 13 : 0387216499
Total Pages : 425 pages
Book Rating : 4.3/5 (872 download)
Download or read book Symmetry and Integration Methods for Differential Equations written by George Bluman and published by Springer Science & Business Media. This book was released on 2008-01-10 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.
Author : Dale Anderson
Publisher : CRC Press
ISBN 13 : 1351124013
Total Pages : 975 pages
Book Rating : 4.3/5 (511 download)
Download or read book Computational Fluid Mechanics and Heat Transfer written by Dale Anderson and published by CRC Press. This book was released on 2020-12-17 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Mechanics and Heat Transfer, Fourth Edition is a fully updated version of the classic text on finite-difference and finite-volume computational methods. Divided into two parts, the text covers essential concepts in the first part, and then moves on to fluids equations in the second. Designed as a valuable resource for practitioners and students, new examples and homework problems have been added to further enhance the student’s understanding of the fundamentals and applications. Provides a thoroughly updated presentation of CFD and computational heat transfer Covers more material than other texts, organized for classroom instruction and self-study Presents a wide range of computation strategies for fluid flow and heat transfer Includes new sections on finite element methods, computational heat transfer, and multiphase flows Features a full Solutions Manual and Figure Slides for classroom projection Written as an introductory text for advanced undergraduates and first-year graduate students, the new edition provides the background necessary for solving complex problems in fluid mechanics and heat transfer.
Author : William B. Krantz
Publisher : John Wiley & Sons
ISBN 13 : 0470121920
Total Pages : 547 pages
Book Rating : 4.4/5 (71 download)
Download or read book Scaling Analysis in Modeling Transport and Reaction Processes written by William B. Krantz and published by John Wiley & Sons. This book was released on 2007-06-30 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique as the first effort to expound on the subject of systematic scaling analysis. Not written for a specific discipline, the book targets any reader interested in transport phenomena and reaction processes. The book is logically divided into chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer, and reaction processes. An integrating chapter is included that considers more complex problems involving combined transport phenomena. Each chapter includes several problems that are explained in considerable detail. These are followed by several worked examples for which the general outline for the scaling is given. Each chapter also includes many practice problems. This book is based on recognizing the value of systematic scaling analysis as a pedagogical method for teaching transport and reaction processes and as a research tool for developing and solving models and in designing experiments. Thus, the book can serve as both a textbook and a reference book.
Author : RobertH. Nunn
Publisher : Routledge
ISBN 13 : 1351437488
Total Pages : 361 pages
Book Rating : 4.3/5 (514 download)
Download or read book Intermediate fluid mechanics written by RobertH. Nunn and published by Routledge. This book was released on 2018-05-02 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nunn provides an overview of the topic of fluid mechanics, a subject often considered essential in college engineering programs.
Author : Joshua Allensworth Leslie
Publisher : American Mathematical Soc.
ISBN 13 : 0821829645
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Geometrical Study of Differential Equations written by Joshua Allensworth Leslie and published by American Mathematical Soc.. This book was released on 2001 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on some of the talks given at the NSF-CBMS conference on ``The Geometrical Study of Differential Equations'' held at Howard University (Washington, DC). The collected papers present important recent developments in this area, including the treatment of nontransversal group actions in the theory of group invariant solutions of PDEs, a method for obtaining discrete symmetries of differential equations, the establishment of a group-invariant version of the variational complex based on a general moving frame construction, the introduction of a new variational complex for the calculus of difference equations and an original structural investigation of Lie-Backlund transformations. The book opens with a modern and illuminating overview of Lie's line-sphere correspondence and concludes with several interesting open problems arising from symmetry analysis of PDEs. It offers a rich source of inspiration for new or established researchers in the field. This book can serve nicely as a companion volume to a forthcoming book written by the principle speaker at the conference, Professor Niky Kamran, to be published in the AMS series, CBMS Regional Conference Series in Mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T. Cebeci
Publisher : Springer Science & Business Media
ISBN 13 : 366202411X
Total Pages : 497 pages
Book Rating : 4.6/5 (62 download)
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.
