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On The Solution Of Certain Boundary Value Problems Of Heat Conduction
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Book Synopsis Boundary Value Problems of Heat Conduction by : M. Necati Ozisik
Download or read book Boundary Value Problems of Heat Conduction written by M. Necati Ozisik and published by Courier Corporation. This book was released on 2002-01-01 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for first-year graduate courses in heat transfer, including topics relevant to aerospace engineering and chemical and nuclear engineering, this hardcover book deals systematically and comprehensively with modern mathematical methods of solving problems in heat conduction and diffusion. Includes illustrative examples and problems, plus helpful appendixes. 134 illustrations. 1968 edition.
Book Synopsis On the Solution of Certain Boundary Value Problems of Heat Conduction by : William James Jameson
Download or read book On the Solution of Certain Boundary Value Problems of Heat Conduction written by William James Jameson and published by . This book was released on 1962 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Heat Conduction written by Liqiu Wang and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many phenomena in social, natural and engineering fields are governed by wave, potential, parabolic heat-conduction, hyperbolic heat-conduction and dual-phase-lagging heat-conduction equations. This monograph examines these equations: their solution structures, methods of finding their solutions under various supplementary conditions, as well as the physical implication and applications of their solutions.
Book Synopsis Boundary Value Problems by : David L. Powers
Download or read book Boundary Value Problems written by David L. Powers and published by Elsevier. This book was released on 2014-05-10 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems is a text material on partial differential equations that teaches solutions of boundary value problems. The book also aims to build up intuition about how the solution of a problem should behave. The text consists of seven chapters. Chapter 1 covers the important topics of Fourier Series and Integrals. The second chapter deals with the heat equation, introducing separation of variables. Material on boundary conditions and Sturm-Liouville systems is included here. Chapter 3 presents the wave equation; estimation of eigenvalues by the Rayleigh quotient is mentioned briefly. The potential equation is the topic of Chapter 4, which closes with a section on classification of partial differential equations. Chapter 5 briefly covers multidimensional problems and special functions. The last two chapters, Laplace Transforms and Numerical Methods, are discussed in detail. The book is intended for third and fourth year physics and engineering students.
Book Synopsis Inverse Heat Transfer Problems by : Oleg M. Alifanov
Download or read book Inverse Heat Transfer Problems written by Oleg M. Alifanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph presents a systematic treatment of the theory of the propagation of transient electromagnetic fields (such as optical pulses) through dielectric media which exhibit both dispersion a.nd absorption. The work divides naturally into two parts. Part I presents a summary of the fundamental theory of the radiation and propagation of rather general electromagnetic waves in causal, linear media which are homogeneous and isotropic but which otherwise have rather general dispersive and absorbing properties. In Part II, we specialize to the propagation of a plane, transient electromagnetic field in a homogeneous dielectric. Although we have made some contributions to the fundamental theory given in Part I, most of the results of our own research appear in Part II. The purpose of the theory presented in Part II is to predict and to explain in explicit detail the dynamics of the field after it has propagated far enough through the medium to be in the mature-dispersion regime. It is the subject of a classic theory, based on the research conducted by A. Sommerfeld and L.
Book Synopsis Finite Difference Methods in Heat Transfer by : Necati Ozisik
Download or read book Finite Difference Methods in Heat Transfer written by Necati Ozisik and published by CRC Press. This book was released on 1994-04-25 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner. Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.
Book Synopsis Inverse Heat Conduction by : Hamidreza Najafi
Download or read book Inverse Heat Conduction written by Hamidreza Najafi and published by John Wiley & Sons. This book was released on 2023-03-02 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Heat Conduction A comprehensive reference on the field of inverse heat conduction problems (IHCPs), now including advanced topics, numerous practical examples, and downloadable MATLAB codes. The First Edition of the classic book Inverse Heat Conduction: III-Posed Problems, published in 1985, has been used as one of the primary references for researchers and professionals working on IHCPs due to its comprehensive scope and dedication to the topic. The Second Edition of the book is a largely revised version of the First Edition with several all-new chapters and significant enhancement of the previous material. Over the past 30 years, the authors of this Second Edition have collaborated on research projects that form the basis for this book, which can serve as an effective textbook for graduate students and as a reliable reference book for professionals. Examples and problems throughout the text reinforce concepts presented. The Second Edition continues emphasis from the First Edition on linear heat conduction problems with revised presentation of Stolz, Function Specification, and Tikhonov Regularization methods, and expands coverage to include Conjugate Gradient Methods and the Singular Value Decomposition method. The Filter Matrix concept is explained and embraced throughout the presentation and allows any of these solution techniques to be represented in a simple explicit linear form. Two direct approaches suitable for non-linear problems, the Adjoint Method and Kalman Filtering, are presented, as well as an adaptation of the Filter Matrix approach applicable to non-linear heat conduction problems. In the Second Edition of Inverse Heat Conduction: III-Posed Problems, readers will find: A comprehensive literature review of IHCP applications in various fields of engineering Exact solutions to several fundamental problems for direct heat conduction problems, the concept of the computational analytical solution, and approximate solution methods for discrete time steps using superposition of exact solutions which form the basis for the IHCP solutions in the text IHCP solution methods and comparison of many of these approaches through a common suite of test problems Filter matrix form of IHCP solution methods and discussion of using filter-form Tikhonov regularization for solving complex IHCPs in multi-layer domain with temperature-dependent material properties Methods and criteria for selection of the optimal degree of regularization in solution of IHCPs Application of the filter concept for solving two-dimensional transient IHCP problems with multiple unknown heat fluxes Estimating the heat transfer coefficient, h, for lumped capacitance body and bodies with temperature gradients Bias in temperature measurements in the IHCP and correcting for temperature measurement bias Inverse Heat Conduction is a must-have resource on the topic for mechanical, aerospace, chemical, biomedical, or metallurgical engineers who are active in the design and analysis of thermal systems within the fields of manufacturing, aerospace, medical, defense, and instrumentation, as well as researchers in the areas of thermal science and computational heat transfer.
Book Synopsis Heat Conduction by : M. Necati Özışık
Download or read book Heat Conduction written by M. Necati Özışık and published by John Wiley & Sons. This book was released on 1993-03-22 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Second Edition for the standard graduate level course in conduction heat transfer has been updated and oriented more to engineering applications partnered with real-world examples. New features include: numerous grid generation--for finding solutions by the finite element method--and recently developed inverse heat conduction. Every chapter and reference has been updated and new exercise problems replace the old.
Book Synopsis Boundary Value Problems Of Linear Partial Differential Equations For Engineers And Scientists by : Shien Siu Shu
Download or read book Boundary Value Problems Of Linear Partial Differential Equations For Engineers And Scientists written by Shien Siu Shu and published by World Scientific. This book was released on 1987-09-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised version of the author's lecture notes in a graduate course of applied mathematics. It is based on the idea that it may be more interesting to learn mathematics through the introduction of concrete examples. The materials are organised in a logical order that transmits the package of mathematical knowledge and methods to the students in an efficient manner.
Book Synopsis Solving Direct and Inverse Heat Conduction Problems by : Jan Taler
Download or read book Solving Direct and Inverse Heat Conduction Problems written by Jan Taler and published by Springer Science & Business Media. This book was released on 2010-04-16 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a solution for direct and inverse heat conduction problems, discussing the theoretical basis for the heat transfer process and presenting selected theoretical and numerical problems in the form of exercises with solutions. The book covers one-, two- and three dimensional problems which are solved by using exact and approximate analytical methods and numerical methods. An accompanying CD-Rom includes computational solutions of the examples and extensive FORTRAN code.
Book Synopsis Solutions to Boundary Value Problems Involving the Heat Conduction Equation by : William Foster Ekern
Download or read book Solutions to Boundary Value Problems Involving the Heat Conduction Equation written by William Foster Ekern and published by . This book was released on 1955 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary and Eigenvalue Problems in Mathematical Physics by : Hans Sagan
Download or read book Boundary and Eigenvalue Problems in Mathematical Physics written by Hans Sagan and published by Courier Corporation. This book was released on 1989-01-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-known advanced undergraduate- and graduate-level text uses a few basic concepts to solve and develop complete answers to linear homogeneous partial differential equations such as the problems of the vibrating string, the vibrating membrane, and heat conduction. With problems and solutions. 31 illustrations.
Book Synopsis Heat Conduction, Fifth Edition by : Sadık Kakac
Download or read book Heat Conduction, Fifth Edition written by Sadık Kakac and published by CRC Press. This book was released on 2018-07-11 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heat Conduction, Fifth Edition, upholds its reputation as the leading text in the field for graduate students, and as a resource for practicing engineers. The text begins with fundamental concepts, introducing the governing equation of heat conduction, and progresses through solutions for one-dimensional conduction, orthogonal functions, Fourier series and transforms, and multi-dimensional problems. Integral equations, Laplace transforms, finite difference numerical methods, and variational formulations are then covered. A systematic derivation of the analytical solution of heat conduction problems in heterogeneous media, introducing a more general approach based on the integral transform method, has been added in this new edition, along with new and revised problems, and complete problem solutions for instructors.
Book Synopsis Heat Conduction, Fifth Edition by : Sadık Kakac
Download or read book Heat Conduction, Fifth Edition written by Sadık Kakac and published by CRC Press. This book was released on 2018-07-11 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heat Conduction, Fifth Edition, upholds its reputation as the leading text in the field for graduate students, and as a resource for practicing engineers. The text begins with fundamental concepts, introducing the governing equation of heat conduction, and progresses through solutions for one-dimensional conduction, orthogonal functions, Fourier series and transforms, and multi-dimensional problems. Integral equations, Laplace transforms, finite difference numerical methods, and variational formulations are then covered. A systematic derivation of the analytical solution of heat conduction problems in heterogeneous media, introducing a more general approach based on the integral transform method, has been added in this new edition, along with new and revised problems, and complete problem solutions for instructors.
Book Synopsis Finite Difference Methods in Heat Transfer by : M. Necati Özişik
Download or read book Finite Difference Methods in Heat Transfer written by M. Necati Özişik and published by CRC Press. This book was released on 2017-07-20 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of algebraic equations. Finite difference methods are a versatile tool for scientists and for engineers. This updated book serves university students taking graduate-level coursework in heat transfer, as well as being an important reference for researchers and engineering. Features Provides a self-contained approach in finite difference methods for students and professionals Covers the use of finite difference methods in convective, conductive, and radiative heat transfer Presents numerical solution techniques to elliptic, parabolic, and hyperbolic problems Includes hybrid analytical–numerical approaches
Book Synopsis The Numerical Solution of Some Boundary Value Problems in Heat Conduction, by Means of Convolution Integrals by : Dominic William Jordan
Download or read book The Numerical Solution of Some Boundary Value Problems in Heat Conduction, by Means of Convolution Integrals written by Dominic William Jordan and published by . This book was released on 1960 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inverse Heat Transfer by : M. Necat Ozisik
Download or read book Inverse Heat Transfer written by M. Necat Ozisik and published by CRC Press. This book was released on 2000-04-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the fundamental concepts of inverse heat transfer problems. It presents in detail the basic steps of four techniques of inverse heat transfer protocol, as a parameter estimation approach and as a function estimation approach. These techniques are then applied to the solution of the problems of practical engineering interest involving conduction, convection, and radiation. The text also introduces a formulation based on generalized coordinates for the solution of inverse heat conduction problems in two-dimensional regions.
