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The Mathematics of Thermal Modeling

Author: John Michael Dowden

Publisher: CRC Press

Published: 2024-10-02

Total Pages: 275

ISBN-13: 1040097006

The Mathematics of Thermal Modeling, Second Edition, provides an introduction to the basics of the mathematics and physics needed to understand and use the physical principles employed in constructing models of a number of aspects of thermal modeling in industrial processes, notably laser welding; most of the techniques are applicable to many other technological processes, however. The book demonstrates how insight can be gained from mathematical enquiry at a simple level and helps workers understand the way in which more sophisticated models can be constructed. Some necessary but less familiar mathematical techniques are explained in greater detail than before and some discussion of wave-like features in welds is now included. An understanding will be gained of the importance of studying the interaction of multiple features. The book is equally suitable for engineers and material scientists at the Master's or first-year PhD level at university, to similar students with a background in mathematics or physics who are new to laser or industrial technology, or for research workers coming to mathematical modeling of industrial thermal processes for the first time, whatever stage they have reached in their career development.

The Mathematics of Thermal Modeling

Author: John Michael Dowden

Publisher: CRC Press

Published: 2001-05-24

Total Pages: 305

ISBN-13: 1420035622

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The use of lasers for various applications in materials processing has grown rapidly in recent years. Lasers are by nature particularly well suited to automation, but to ensure repeatability and reliability, the engineers employing them must not simply rely on numerical analysis software. They must have a firm grasp on the physical principles invol

The Mathematics of Thermal Modeling

Author: JOHN MICHAEL. DOWDEN

Publisher:

Published: 2024-08-06

Total Pages: 0

ISBN-13: 9781032657776

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The Mathematics of Thermal Modeling 2nd Edition provides an introduction to the basics of the mathematics and physics needed to understand and use the physical principles employed in constructing models of a number of aspects of thermal modeling in industrial processes, notably laser welding; most of the techniques are applicable to many other technological processes, however. The book demonstrates how insight can be gained from mathematical enquiry at a simple level and helps workers understand the way in which more sophisticated models can be constructed. Some necessary but less familiar mathematical techniques are explained in greater detail than before and some discussion of wave-like features in welds is now included. An understanding will be gained of the importance of studying the interaction of multiple features. The book is equally suitable for engineers and material scientists at the Masters or first year PhD level at university, to similar students with a background in mathematics or physics who are new to laser or industrial technology, or for research workers coming to mathematical modeling of industrial thermal processes for the first time, whatever stage they have reached in their career development.

Heat Conduction

Author: Liqiu Wang

Publisher: Springer Science & Business Media

Published: 2007-12-20

Total Pages: 524

ISBN-13: 3540743030

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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.

Mathematical Modeling Of Melting And Freezing Processes

Author: V. Alexiades

Publisher: Routledge

Published: 2018-05-02

Total Pages: 206

ISBN-13: 135143327X

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This reference book presents mathematical models of melting and solidification processes that are the key to the effective performance of latent heat thermal energy storage systems (LHTES), utilized in a wide range of heat transfer and industrial applications. This topic has spurred a growth in research into LHTES applications in energy conservation and utilization, space station power systems, and thermal protection of electronic equipment in hostile environments. Further, interest in mathematical modeling has increased with the speread of high powered computers used in most industrial and academic settings. In two sections, the book first describes modeling of phase change processes and then describes applications for LHTES. It is aimed at graduate students, researchers, and practicing engineers in heat transfer, materials processing, multiphase systems, energy conservation, metallurgy, microelectronics, and cryosurgery.

Solving Problems in Thermal Engineering

Author: Viktor Józsa

Publisher: Springer Nature

Published: 2019-10-24

Total Pages: 203

ISBN-13: 3030334759

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This book provides general guidelines for solving thermal problems in the fields of engineering and natural sciences. Written for a wide audience, from beginner to senior engineers and physicists, it provides a comprehensive framework covering theory and practice and including numerous fundamental and real-world examples. Based on the thermodynamics of various material laws, it focuses on the mathematical structure of the continuum models and their experimental validation. In addition to several examples in renewable energy, it also presents thermal processes in space, and summarizes size-dependent, non-Fourier, and non-Fickian problems, which have increasing practical relevance in, e.g., the semiconductor industry. Lastly, the book discusses the key aspects of numerical methods, particularly highlighting the role of boundary conditions in the modeling process. The book provides readers with a comprehensive toolbox, addressing a wide variety of topics in thermal modeling, from constructing material laws to designing advanced power plants and engineering systems.

Physical Modeling and Computational Techniques for Thermal and Fluid-dynamics

Author: Maurizio Bottoni

Publisher: Springer Nature

Published: 2021-11-12

Total Pages: 541

ISBN-13: 3030797171

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This book on computational techniques for thermal and fluid-dynamic problems arose from seminars given by the author at the Institute of Nuclear Energy Technology of Tsinghua University in Beijing, China. The book is composed of eight chapters-- some of which are characterized by a scholastic approach, others are devoted to numerical solution of ordinary differential equations of first order, and of partial differential equations of first and second order, respectively. In Chapter IV, basic concepts of consistency, stability and convergence of discretization algorithms are covered in some detail. Other parts of the book follow a less conventional approach, mainly informed by the author’s experience in teaching and development of computer programs. Among these is Chapter III, where the residual method of Orthogonal Collocations is presented in several variants, ranging from the classical Galerkin method to Point and Domain Collocations, applied to numerical solution of partial differential equations of first order. In most cases solutions of fluid dynamic problems are led through the discretization process, to the numerical solutions of large linear systems. Intended to impart a basic understanding of numerical techniques that would enable readers to deal with problems of Computational Fluid Dynamics at research level, the book is ideal as a reference for graduate students, researchers, and practitioners.

Fluid Mechanics and Heat Transfer

Author: Kaveh Hariri Asli

Publisher: CRC Press

Published: 2015-06-10

Total Pages: 246

ISBN-13: 1498707696

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This valuable new book focuses on new methods and techniques in fluid mechanics and heat transfer in mechanical engineering. The book includes the research of the authors on the development of optimal mathematical models and also uses modern computer technology and mathematical methods for the analysis of nonlinear dynamic processes.It covers techn

Comsol Heat Transfer Models

Author: Layla S. Mayboudi

Publisher: Multiphysics Modeling

Published: 2019-10-15

Total Pages: 400

ISBN-13: 9781683922117

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This book guides the reader through the process of model creation for heat transfer analysis with the finite element method. The book describes thermal imaging experiments that demonstrate how such models can be validated. It presents application examples, such as heating water in a kettle, to basement insulation, a heated seat, molten rock, pipe flow, and an innovative extended surface. A companion disc provides the files so models can be run (using COMSOL or other software) in order to observe real-world behavior of the applications. Historical background information is provided to show the progression of heat transfer science and mathematical modeling from the earliest developments to the most recent advances in technology. Features: Includes example models that enable the reader to implement conceptual material in practical scenarios with broad industrial applications Includes companion files with models and geometry files created with COMSOL Multiphysics(R) or imported from a third-party CAD tool.

Thermal Analysis with SolidWorks Simulation 2013

Author: Paul M. Kurowski

Publisher: SDC Publications

Published: 2013

Total Pages: 201

ISBN-13: 1585037850

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Thermal Analysis with SolidWorks Simulation 2013 goes beyond the standard software manual. It concurrently introduces the reader to thermal analysis and its implementation in SolidWorks Simulation using hands-on exercises. A number of projects are presented to illustrate thermal analysis and related topics. Each chapter is designed to build on the skills and understanding gained from previous exercises. Thermal Analysis with SolidWorks Simulation 2013 is designed for users who are already familiar with basics of Finite Element Analysis (FEA) using SolidWorks Simulation or who have completed the book Engineering Analysis with SolidWorks Simulation 2013. Thermal Analysis with SolidWorks Simulation 2013 builds on these topics in the area of thermal analysis. Some understanding of FEA and SolidWorks Simulation is assumed.