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Author: R. A. Bernatz
Publisher: CRC Press
Published: 2020-08-11
Total Pages: 356
ISBN-13: 1000158683
DOWNLOAD EBOOK →This book contains the fundamental development of the finite analytic method and gives a systematic coverage of knowledge needed for numerical computation of fluid flows and heat transfer. It will be helpful to many including graduate students studying computational fluid dynamics and heat transfer.
Author: R. A. Bernatz
Publisher: CRC Press
Published: 2000-09-12
Total Pages: 356
ISBN-13: 9781560328988
DOWNLOAD EBOOK →This book gives a systematic coverage of knowledge needed for numerical computation of fluid flows and heat transfer in five parts. Part One gives a brief history of computational machinery and a presentation of the governing equations for fluid flows and heat transfer. Part Two is devoted to the principles of the finite analytic method and its development for various types of equations. Part Three concentrates on methods of coordinate generation for applications on complex domains. Part Four presents various schemes for accomplishing the task in Part Three. Examples of a wide variety of problems are provided in Part Five.
Author: Bernhard Weigand
Publisher: Springer
Published: 2015-05-05
Total Pages: 310
ISBN-13: 3662465930
DOWNLOAD EBOOK →This book describes useful analytical methods by applying them to real-world problems rather than solving the usual over-simplified classroom problems. The book demonstrates the applicability of analytical methods even for complex problems and guides the reader to a more intuitive understanding of approaches and solutions. Although the solution of Partial Differential Equations by numerical methods is the standard practice in industries, analytical methods are still important for the critical assessment of results derived from advanced computer simulations and the improvement of the underlying numerical techniques. Literature devoted to analytical methods, however, often focuses on theoretical and mathematical aspects and is therefore useless to most engineers. Analytical Methods for Heat Transfer and Fluid Flow Problems addresses engineers and engineering students. The second edition has been updated, the chapters on non-linear problems and on axial heat conduction problems were extended. And worked out examples were included.
Author: Roland W. Lewis
Publisher: John Wiley and Sons
Published: 2008-02-07
Total Pages: 357
ISBN-13: 0470346388
DOWNLOAD EBOOK →Heat transfer is the area of engineering science which describes the energy transport between material bodies due to a difference in temperature. The three different modes of heat transport are conduction, convection and radiation. In most problems, these three modes exist simultaneously. However, the significance of these modes depends on the problems studied and often, insignificant modes are neglected. Very often books published on Computational Fluid Dynamics using the Finite Element Method give very little or no significance to thermal or heat transfer problems. From the research point of view, it is important to explain the handling of various types of heat transfer problems with different types of complex boundary conditions. Problems with slow fluid motion and heat transfer can be difficult problems to handle. Therefore, the complexity of combined fluid flow and heat transfer problems should not be underestimated and should be dealt with carefully. This book: Is ideal for teaching senior undergraduates the fundamentals of how to use the Finite Element Method to solve heat transfer and fluid dynamics problems Explains how to solve various heat transfer problems with different types of boundary conditions Uses recent computational methods and codes to handle complex fluid motion and heat transfer problems Includes a large number of examples and exercises on heat transfer problems In an era of parallel computing, computational efficiency and easy to handle codes play a major part. Bearing all these points in mind, the topics covered on combined flow and heat transfer in this book will be an asset for practising engineers and postgraduate students. Other topics of interest for the heat transfer community, such as heat exchangers and radiation heat transfer, are also included.
Author: Robert W. Hornbeck
Publisher:
Published: 1973
Total Pages: 368
ISBN-13:
DOWNLOAD EBOOK →"It is the purpose of this book to present the finite difference formulation and method of solution for a wide variety of fluid flow problems with associated heat transfer. Only a few direct results from these formulations will be given as examples, since the book is intended primarily to serve as a discussion of the techniques and as a starting point for further investigations; however, the formulations are sufficiently complete that a workable computer program may be written from them."--Page iii
Author: Mohsen Sheikholeslami
Publisher: Elsevier
Published: 2018-01-02
Total Pages: 888
ISBN-13: 0128136766
DOWNLOAD EBOOK →Application of Semi-Analytical Methods for Nanofluid Flow and Heat Transfer applies semi-analytical methods to solve a range of engineering problems. After various methods are introduced, their application in nanofluid flow and heat transfer, magnetohydrodynamic flow, electrohydrodynamic flow and heat transfer, and nanofluid flow in porous media within several examples are explored. This is a valuable reference resource for materials scientists and engineers that will help familiarize them with a wide range of semi-analytical methods and how they are used in nanofluid flow and heat transfer. The book also includes case studies to illustrate how these methods are used in practice. Presents detailed information, giving readers a complete familiarity with governing equations where nanofluid is used as working fluid Provides the fundamentals of new analytical methods, applying them to applications of nanofluid flow and heat transfer in the presence of magnetic and electric field Gives a detailed overview of nanofluid motion in porous media
Author: Darrell W. Pepper
Publisher: Routledge
Published: 2017-11-01
Total Pages: 619
ISBN-13: 1351410121
DOWNLOAD EBOOK →This book is a follow-up to the introductory text written by the same authors. The primary emphasis on this book is linear and nonlinear partial differential equations with particular concentration on the equations of viscous fluid motion. Each chapter describes a particular application of the finite element method and illustrates the concepts through example problems. A comprehensive appendix lists computer codes for 2-D fluid flow and two 3-D transient codes.
Author: Glen E. Myers
Publisher:
Published: 1998
Total Pages: 440
ISBN-13:
DOWNLOAD EBOOK →This book is designed for a one-semester graduate course in conduction heat transfer. The three major chapters are: 3 (separation of variables), 8 (finite differences) and 9 (finite elements). Other topics include Bessel functions, Laplace transforms, complex combination, normalization, superposition and Duhamel's theorem.
Author: Gianni Comini
Publisher: CRC Press
Published: 2018-10-08
Total Pages: 492
ISBN-13: 1351991493
DOWNLOAD EBOOK →This introductory text presents the applications of the finite element method to the analysis of conduction and convection problems. The book is divided into seven chapters which include basic ideas, application of these ideas to relevant problems, and development of solutions. Important concepts are illustrated with examples. Computer problems are also included to facilitate the types of solutions discussed.
Author: Richard Bernatz
Publisher: John Wiley & Sons
Published: 2010-07-30
Total Pages: 336
ISBN-13: 0470651377
DOWNLOAD EBOOK →The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens and extends readers' knowledge of the power of linear spaces and linear transformations for purposes of understanding and solving a wide range of PDEs. The book begins with an introduction to the general terminology and topics related to PDEs, including the notion of initial and boundary value problems and also various solution techniques. Subsequent chapters explore: The solution process for Sturm-Liouville boundary value ODE problems and a Fourier series representation of the solution of initial boundary value problems in PDEs The concept of completeness, which introduces readers to Hilbert spaces The application of Laplace transforms and Duhamel's theorem to solve time-dependent boundary conditions The finite element method, using finite dimensional subspaces The finite analytic method with applications of the Fourier series methodology to linear version of non-linear PDEs Throughout the book, the author incorporates his own class-tested material, ensuring an accessible and easy-to-follow presentation that helps readers connect presented objectives with relevant applications to their own work. Maple is used throughout to solve many exercises, and a related Web site features Maple worksheets for readers to use when working with the book's one- and multi-dimensional problems. Fourier Series and Numerical Methods for Partial Differential Equations is an ideal book for courses on applied mathematics and partial differential equations at the upper-undergraduate and graduate levels. It is also a reliable resource for researchers and practitioners in the fields of mathematics, science, and engineering who work with mathematical modeling of physical phenomena, including diffusion and wave aspects.
