Analytical Heat Diffusion Theory

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Analytical Heat Diffusion Theory

Author : A Luikov
Publisher : Elsevier
Page : 703 pages
File Size : 51,9 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323143226

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Analytical Heat Diffusion Theory by A Luikov Pdf

Analytical Heat Diffusion Theory is a revised edition of an earlier book by Academician Luikov, which was widely used throughout the Soviet Union and the surrounding socialist countries. This book is divided into 15 chapters that treat heat conduction problems by the classical methods and emphasize the advantages of the transform method, particularly in obtaining short time solutions of many transient problems. This book starts with a discussion on the physical fundamentals, generalized variables, and solution of boundary value problems of heat transfer. Considerable chapters are devoted to the basic classical heat transfer problems and problems in which the body surface temperature is a specified function of time. Other chapters explore the heat transfer problems under different heat sources, including continuous and pulse-type. The discussion then shifts to the problem of freezing wet ground, two-dimensional temperature field, and heat conduction with variable transfer coefficients. The final chapters deal with the fundamentals of the integral transforms and their application to heat conduction problems. These chapters also look into the application of the theory of analytic functions to the heat conduction theory of mathematical physics. This book is an invaluable source for advanced undergraduate or graduate in analytical heat transfer.

Analytical Heat Diffusion Theory

Author : Alekseĭ Vasilʹevich Lykov
Publisher : Unknown
Page : 685 pages
File Size : 47,7 Mb
Release : 1970
Category : Heat
ISBN : OCLC:1223598853

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Analytical Heat Diffusion Theory by Alekseĭ Vasilʹevich Lykov Pdf

The Analytical Theory of Heat

Author : Joseph Fourier
Publisher : Cosimo, Inc.
Page : 497 pages
File Size : 41,7 Mb
Release : 2007-10-01
Category : Science
ISBN : 9781602068568

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The Analytical Theory of Heat by Joseph Fourier Pdf

In this pioneering work of mathematics, Joseph Fourier shows how the conduction of heat in solid bodies can be analyzed in terms of an infinite mathematical series. Known as the Fourier Series, this was the first correct theory on heat diffusion and continues to be used in present-day analysis. For anyone interested in the theory of heat or in the mathematical tools developed by Fourier, this classic work remains indispensable. Born the son of a French tailor, JOSEPH FOURIER (1768-1830) was a mathematician, Egyptologist, and politician whose strong influence on mathematical physics continues to this day. His other works include Description of Egypt and Analysis of Determinate Equations.

The Analytical Theory of Heat

Author : Jean-Baptiste-Joseph Fourier
Publisher : Unknown
Page : 522 pages
File Size : 51,7 Mb
Release : 1878
Category : Fourier series
ISBN : HARVARD:32044089528152

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The Analytical Theory of Heat by Jean-Baptiste-Joseph Fourier Pdf

Theory of Periodic Conjugate Heat Transfer

Author : Yuri B. Zudin
Publisher : Springer Nature
Page : 460 pages
File Size : 44,7 Mb
Release : 2023-03-24
Category : Technology & Engineering
ISBN : 9783031251672

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Theory of Periodic Conjugate Heat Transfer by Yuri B. Zudin Pdf

An original method of investigation of the conjugate conductive-convective problem of periodic heat transfer is developed. The novelty of the approach is that a particular conjugate problem is replaced by a general boundary-value problem for the heat conduction equation in the solid. Within the framework of the hyperbolic model of thermal conductivity, the effect of self-reinforcement of the degree of conjugation by increasing the period of oscillations is found. The processes of hydrodynamics and heat exchange with periodic internal structure are considered: periodic model of turbulent heat transfer, hydrodynamic instability, bubbles dynamics in liquid, and model of evaporating meniscus. The book is intended as a source and reference work for researchers and graduate students interested in the field of conjugate heat transfer.

Analysis Of Heat And Mass Transfer

Author : ECKERT
Publisher : CRC Press
Page : 836 pages
File Size : 49,6 Mb
Release : 1986-03-01
Category : Science
ISBN : 1560326883

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Analysis Of Heat And Mass Transfer by ECKERT Pdf

Finite Element Analysis for Heat Transfer

Author : Hou-Cheng Huang,Asif S. Usmani
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781447120919

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Finite Element Analysis for Heat Transfer by Hou-Cheng Huang,Asif S. Usmani Pdf

This text presents an introduction to the application of the finite ele ment method to the analysis of heat transfer problems. The discussion has been limited to diffusion and convection type of heat transfer in solids and fluids. The main motivation of writing this book stems from two facts. Firstly, we have not come across any other text which provides an intro duction to the finite element method (FEM) solely from a heat transfer perspective. Most introductory texts attempt to teach FEM from a struc tural engineering background, which may distract non-structural engineers from pursuing this important subject with full enthusiasm. We feel that our approach provides a better alternative for non-structural engineers. Secondly, for people who are interested in using FEM for heat transfer, we have attempted to cover a wide range of topics, presenting the essential the ory and full implementational details including two FORTRAN programs. In addition to the basic FEM heat transfer concepts and implementation, we have also presented some modem techniques which are being used to enhance the accuracy and speed of the conventional method. In writing the text we have endeavoured to keep it accessible to persons with qualifications of no more than an engineering graduate. As mentioned earlier this book may be used to learn FEM by beginners, this may include undergraduate students and practicing engineers. However, there is enough advanced material to interest more experienced practitioners.

The Finite Element Method in Heat Transfer Analysis

Author : Roland W. Lewis,Ken Morgan,H. R. Thomas,Kankanhalli N. Seetharamu
Publisher : John Wiley & Sons
Page : 296 pages
File Size : 49,6 Mb
Release : 1996-08-06
Category : Science
ISBN : 0471943622

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The Finite Element Method in Heat Transfer Analysis by Roland W. Lewis,Ken Morgan,H. R. Thomas,Kankanhalli N. Seetharamu Pdf

Heat transfer analysis is a problem of major significance in a vast range of industrial applications. These extend over the fields of mechanical engineering, aeronautical engineering, chemical engineering and numerous applications in civil and electrical engineering. If one considers the heat conduction equation alone the number of practical problems amenable to solution is extensive. Expansion of the work to include features such as phase change, coupled heat and mass transfer, and thermal stress analysis provides the engineer with the capability to address a further series of key engineering problems. The complexity of practical problems is such that closed form solutions are not generally possible. The use of numerical techniques to solve such problems is therefore considered essential, and this book presents the use of the powerful finite element method in heat transfer analysis. Starting with the fundamental general heat conduction equation, the book moves on to consider the solution of linear steady state heat conduction problems, transient analyses and non-linear examples. Problems of melting and solidification are then considered at length followed by a chapter on convection. The application of heat and mass transfer to drying problems and the calculation of both thermal and shrinkage stresses conclude the book. Numerical examples are used to illustrate the basic concepts introduced. This book is the outcome of the teaching and research experience of the authors over a period of more than 20 years.

Analytical Heat Transfer

Author : Je-Chin Han,Lesley M. Wright
Publisher : CRC Press
Page : 595 pages
File Size : 45,6 Mb
Release : 2022-06-24
Category : Science
ISBN : 9781000597295

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Analytical Heat Transfer by Je-Chin Han,Lesley M. Wright Pdf

Analytical Heat Transfer explains how to analyze and solve conduction, convection, and radiation heat transfer problems. It enables students to tackle complex engineering heat transfer problems prevalent in practice. Covering heat transfer in high-speed flows and unsteady highly turbulent flows, the book also discusses enhanced heat transfer in channels, heat transfer in rotating channels, numerical modeling for turbulent flow heat transfer, and thermally developing heat transfer in a circular tube. The second edition features new content on Duhamel’s superposition method, Green’s function method for transient heat conduction, finite-difference method for steady state and transient heat conduction in cylindrical coordinates, and laminar mixed convection. It includes two new chapters on laminar-to-turbulent transitional heat transfer and turbulent flow heat transfer enhancement, in addition to end-of-chapter problems. The book bridges the gap between basic heat transfer undergraduate courses and advanced heat transfer graduate courses for a single semester of intermediate heat transfer, advanced conduction/radiation heat transfer, or convection heat transfer. Features: Focuses on analyzing and solving classic heat transfer problems in conduction, convection, and radiation Covers 2-D and 3-D view factor evaluation, combined radiation with conduction and/or convection, and gas radiation optically thin and optically thick limits Features updated content and new chapters on mass and heat transfer analogy, thermally developing heat transfer in a circular tube, laminar-turbulent transitional heat transfer, unsteady highly turbulent flows, enhanced heat transfer in channels, heat transfer in rotating channels, and numerical modeling for turbulent flow heat transfer Provides step-by-step mathematical formula derivations, analytical solution procedures, and demonstration examples Includes end-of-chapter problems with an accompanying Solutions Manual for instructors This book is ideal for undergraduate and graduate students studying basic heat transfer and advanced heat transfer.

Inverse Heat Conduction

Author : Hamidreza Najafi,Keith A. Woodbury,Filippo de Monte,James V. Beck
Publisher : John Wiley & Sons
Page : 355 pages
File Size : 42,7 Mb
Release : 2023-03-02
Category : Technology & Engineering
ISBN : 9781119840213

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Inverse Heat Conduction by Hamidreza Najafi,Keith A. Woodbury,Filippo de Monte,James V. Beck Pdf

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.

Numerical Analysis of Heat and Mass Transfer in Porous Media

Author : J.M.P.Q. Delgado,Antonio Gilson Barbosa Lima,Marta Vázquez da Silva
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 42,7 Mb
Release : 2012-06-25
Category : Technology & Engineering
ISBN : 9783642305320

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Numerical Analysis of Heat and Mass Transfer in Porous Media by J.M.P.Q. Delgado,Antonio Gilson Barbosa Lima,Marta Vázquez da Silva Pdf

The purpose of ‘Numerical Analysis of Heat and Mass Transfer in Porous Media’ is to provide a collection of recent contributions in the field of computational heat and mass transfer in porous media. The main benefit of the book is that it discusses the majority of the topics related to numerical transport phenomenon in engineering (including state-of-the-art and applications) and presents some of the most important theoretical and computational developments in porous media and transport phenomenon domain, providing a self-contained major reference that is appealing to both the scientists, researchers and the engineers. At the same time, these topics encounter of a variety of scientific and engineering disciplines, such as chemical, civil, agricultural, mechanical engineering, etc. The book is divided in several chapters that intend to be a resume of the current state of knowledge for benefit of professional colleagues.

Heat Conduction

Author : M. Necati Özışık
Publisher : John Wiley & Sons
Page : 716 pages
File Size : 43,6 Mb
Release : 1993-03-22
Category : Science
ISBN : 0471532568

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Heat Conduction by M. Necati Özışık Pdf

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.

Computational Heat Transfer

Author : Yogesh Jaluria
Publisher : Routledge
Page : 568 pages
File Size : 50,7 Mb
Release : 2017-10-19
Category : Science
ISBN : 9781351458863

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Computational Heat Transfer by Yogesh Jaluria Pdf

This new edition updated the material by expanding coverage of certain topics, adding new examples and problems, removing outdated material, and adding a computer disk, which will be included with each book. Professor Jaluria and Torrance have structured a text addressing both finite difference and finite element methods, comparing a number of applicable methods.

Heat Conduction

Author : Yaman Yener,Sadik Kakac
Publisher : CRC Press
Page : 315 pages
File Size : 49,8 Mb
Release : 2018-05-04
Category : Technology & Engineering
ISBN : 9781351441223

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Heat Conduction by Yaman Yener,Sadik Kakac Pdf

Nearly thirty years since its first publication, the highly anticipated fourth edition of Heat Conduction upholds its reputation as an instrumental textbook and reference for graduate students and practicing engineers in mechanical engineering and thermal sciences. Written to suit a one-semester graduate course, the text begins with fundamental concepts, introducing the governing equation of heat conduction as derived from the First law of Thermodynamics. Solutions for one-dimensional conduction follow, then orthogonal functions, Fourier series and transforms, and multi-dimensional problems. Later sections focus on a series of specialized techniques, including integral equations, Laplace transforms, finite difference numerical methods, and variational formulations. Two new chapters (9 and 11) have been added to cover heat conduction with local heat sources and heat conduction involving phase change. Applications of Fourier transforms in the semi-infinite and infinite regions have been added to Chapter 7 and Chapter 10 has been expanded to include solutions by the similarity method. Also new to the fourth edition are additional problems at the end of each chapter.

Heat Conduction, Fifth Edition

Author : Sadık Kakac,Yaman Yener,Carolina P. Naveira-Cotta
Publisher : CRC Press
Page : 543 pages
File Size : 47,8 Mb
Release : 2018-07-11
Category : Science
ISBN : 9781351714198

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Heat Conduction, Fifth Edition by Sadık Kakac,Yaman Yener,Carolina P. Naveira-Cotta Pdf

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.