The Mathematics of Thermal Modeling

The Mathematics of Thermal Modeling PDF Author: John Michael Dowden
Publisher: CRC Press
ISBN: 1420035622
Category : Technology & Engineering
Languages : en
Pages : 304

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Book Description
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 involved. Mathematics of Thermal Modelling: An Introduction to the Theory of Laser Material Processing introduces the mathematics needed to formulate and exploit the physical principles important to modelling various aspects of laser material processing. The author shows how to gain insight by constructing and analyzing simple models. He demonstrates how to extract qualitative information from the models, how the underlying principles can be extended to more complex modelling, and how these principles can be applied to processes such as laser welding, surface treatment, drilling, and cutting. Written at a level accessible to graduate students, this book shows that simple mathematical investigation-- based primarily on analytical methods backed by relatively simple numerical methods--can greatly illuminate the processes being studied. Regardless of the stage of your career development, if you are confronting the modelling of thermal process in this field for the first time, Mathematics of Thermal Modelling will build the foundation you need.

The Mathematics of Thermal Modeling

The Mathematics of Thermal Modeling PDF Author: JOHN MICHAEL. DOWDEN
Publisher:
ISBN: 9781032657776
Category : Mathematics
Languages : en
Pages : 0

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Book Description
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.

Physical Modeling and Computational Techniques for Thermal and Fluid-dynamics

Physical Modeling and Computational Techniques for Thermal and Fluid-dynamics PDF Author: Maurizio Bottoni
Publisher: Springer Nature
ISBN: 3030797171
Category : Technology & Engineering
Languages : en
Pages : 541

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Book Description
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.

Mathematical Modeling Of Melting And Freezing Processes

Mathematical Modeling Of Melting And Freezing Processes PDF Author: V. Alexiades
Publisher: Routledge
ISBN: 135143327X
Category : Science
Languages : en
Pages : 206

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Book Description
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

Solving Problems in Thermal Engineering PDF Author: Viktor Józsa
Publisher: Springer Nature
ISBN: 3030334759
Category : Technology & Engineering
Languages : en
Pages : 203

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Book Description
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.

Heat Conduction

Heat Conduction PDF Author: Liqiu Wang
Publisher: Springer Science & Business Media
ISBN: 3540743030
Category : Science
Languages : en
Pages : 515

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Book Description
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.

Thermal Analysis with SolidWorks Simulation 2013

Thermal Analysis with SolidWorks Simulation 2013 PDF Author: Paul M. Kurowski
Publisher: SDC Publications
ISBN: 1585037850
Category : Computers
Languages : en
Pages : 201

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Book Description
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.

Fluid Mechanics and Heat Transfer

Fluid Mechanics and Heat Transfer PDF Author: Kaveh Hariri Asli
Publisher: CRC Press
ISBN: 1498707696
Category : Science
Languages : en
Pages : 250

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Book Description
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 technologies applicable to both fluid mechanics and heat transfer problems, which include a combination of physical, mechanical, and thermal techniques. The authors develop a new method for the calculation of mathematical models by computer technology, using parametric modeling techniques and multiple analyses for mechanical system. The information in this book is intended to help reduce the risk of system damage or failure. Included are sidebar discussions, which contain information and facts about each subject area that help to emphasize important points to remember.

Comsol Heat Transfer Models

Comsol Heat Transfer Models PDF Author: Layla S. Mayboudi
Publisher: Multiphysics Modeling
ISBN: 9781683922117
Category : Computers
Languages : en
Pages : 400

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Book Description
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.

Modeling and Approximation in Heat Transfer

Modeling and Approximation in Heat Transfer PDF Author: Leon R. Glicksman
Publisher: Cambridge University Press
ISBN: 1107012171
Category : Mathematics
Languages : en
Pages : 245

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Book Description
This book describes the approach to engineering solutions through simplified modeling of important physical features and approximating their behavior. Students will have greater facility in breaking down complex engineering systems into simplified thermal models that allow essential features of their performance to be assessed and modified.