Numerical Methods In Multidimensional Radiative Transfer
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Numerical Methods In Multidimensional Radiative Transfer
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Author : Guido Kanschat
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-24
Numerical Methods In Multidimensional Radiative Transfer written by Guido Kanschat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-24 with Mathematics categories.
Traditionally, radiative transfer has been the domain of astrophysicists and climatologists. In nuclear technology one has been dealing with the ana- gous equations of neutron transport. In recent years, applications of radiative transferincombustionmachinedesignandinmedicinebecamemoreandmore important. In all these disciplines one uses the radiative transfer equation to model the formation of the radiation ?eld and its propagation. For slabs and spheres e?ective algorithms for the solution of the transfer equation have been ava- able for quite some time. In addition, the analysis of the equation is quite well developed. Unfortunately, in many modern applications the approximation of a 1D geometry is no longer adequate and one has to consider the full 3D dependencies. This makes the modeling immensely more intricate. The main reasons for the di?culties result from the fact that not only the dimension of the geometric space has to be increased but one also has to employ two angle variables (instead of one) and very often one has to consider frequency coupling (due to motion or redistribution in spectral lines). In actual cal- lations this leads to extremely large matrices which, in addition, are usually badly conditioned and therefore require special care. Analytical solutions are not available except for very special cases. Although radiative transfer problems are interesting also from a ma- ematical point of view, mathematicians have largely neglected the transfer equation for a long time.
Integral Methods In Science And Engineering
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Author : Christian Constanda
language : en
Publisher: Springer Nature
Release Date : 2022-10-13
Integral Methods In Science And Engineering written by Christian Constanda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-13 with Mathematics categories.
This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Symposium on the Theory and Applications of Integral Methods in Science and Engineering, held virtually in July 2021, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.
Radiative Heat Transfer
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Author : Michael F. Modest
language : en
Publisher: Elsevier
Release Date : 2003-05-22
Radiative Heat Transfer written by Michael F. Modest and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-22 with Technology & Engineering categories.
The most comprehensive and detailed treatment of thermal radiation heat transfer available for graduate students, as well as senior undergraduate students, practicing engineers and physicists is enhanced by an excellent writing style with nice historical highlights and a clear and consistent notation throughout. Modest presents radiative heat transfer and its interactions with other modes of heat transfer in a coherent and integrated manner emphasizing the fundamentals. Numerous worked examples, a large number of problems, many based on real world situations, and an up-to-date bibliography make the book especially suitable for independent study. - Most complete text in the field of radiative heat transfer - Many worked examples and end-of-chapter problems - Large number of computer codes (in Fortran and C++), ranging from basic problem solving aids to sophisticated research tools - Covers experimental methods
Thermal Radiation Heat Transfer
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Author : John R. Howell
language : en
Publisher: CRC Press
Release Date : 2015-09-18
Thermal Radiation Heat Transfer written by John R. Howell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-18 with Science categories.
Explore the Radiative Exchange between Surfaces Further expanding on the changes made to the fifth edition, Thermal Radiation Heat Transfer, 6th Edition continues to highlight the relevance of thermal radiative transfer and focus on concepts that develop the radiative transfer equation (RTE). The book explains the fundamentals of radiative transfer, introduces the energy and radiative transfer equations, covers a variety of approaches used to gauge radiative heat exchange between different surfaces and structures, and provides solution techniques for solving the RTE. What’s New in the Sixth Edition This revised version updates information on properties of surfaces and of absorbing/emitting/scattering materials, radiative transfer among surfaces, and radiative transfer in participating media. It also enhances the chapter on near-field effects, addresses new applications that include enhanced solar cell performance and self-regulating surfaces for thermal control, and updates references. Comprised of 17 chapters, this text: Discusses the fundamental RTE and its simplified forms for different medium properties Presents an intuitive relationship between the RTE formulations and the configuration factor analyses Explores the historical development and the radiative behavior of a blackbody Defines the radiative properties of solid opaque surfaces Provides a detailed analysis and solution procedure for radiation exchange analysis Contains methods for determining the radiative flux divergence (the radiative source term in the energy equation) Thermal Radiation Heat Transfer, 6th Edition explores methods for solving the RTE to determine the local spectral intensity, radiative flux, and flux gradient. This book enables you to assess and calculate the exchange of energy between objects that determine radiative transfer at different energy levels.
Mathematical Modeling
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Author : Ellis Cumberbatch
language : en
Publisher: Cambridge University Press
Release Date : 2001-10
Mathematical Modeling written by Ellis Cumberbatch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10 with Mathematics categories.
This volume presents thirteen different case studies, ranging from cooking of cereal to the analysis of epidemic waves in animal populations.
Scientific Computing And Software
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Author : Raymond J. Spiteri
language : en
Publisher: Springer Nature
Release Date : 2025-06-20
Scientific Computing And Software written by Raymond J. Spiteri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-20 with Mathematics categories.
These proceedings present a curated collection of innovative approaches to tackling challenging problems in applied mathematics. These problems, often marked by instability, inaccuracy, and high computational cost, remain at the forefront of mathematical research due to their difficulty. Addressing this demand, the contributions in this volume offer robust numerical methods designed to improve the accuracy and efficiency of their solutions. The book originates from the Go20 Conference 2023, where established experts and emerging researchers explored cutting-edge methodologies. The discussions captured here situate new advancements within a broader historical and theoretical context, providing a well-rounded perspective on these pressing mathematical challenges. Topics covered include: Ordinary Differential Equations (ODEs) with singularities Multi-dimensional and multi-rate systems of Partial Differential Equations (PDEs) High-index Differential-Algebraic Equations (DAEs) Inverse and optimal control problems This collection is a valuable resource for researchers and practitioners working on these or related topics. It offers comprehensive analyses and practical insights that bridge foundational principles with modern numerical innovations.
Handbook Of Heat Transfer
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Author : Warren M. Rohsenow
language : en
Publisher: McGraw-Hill
Release Date : 1998-05-22
Handbook Of Heat Transfer written by Warren M. Rohsenow and has been published by McGraw-Hill this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-22 with Science categories.
This wholly revised edition of a classic handbook reference, written by some of the most eminent practitioners in the field, is designed to be your all-in-one source book on heat transfer issues and problem-solving. It includes the latest advances in the field, as well as covering subjects from microscale heat transfer to thermophysical properties of new refrigerants. An invaluable guide to this most crucial factor in virtually every industrial and environmental process.
Thermal Radiation Heat Transfer 5th Edition
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Author : John R. Howell
language : en
Publisher: CRC Press
Release Date : 2010-09-28
Thermal Radiation Heat Transfer 5th Edition written by John R. Howell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-28 with Technology & Engineering categories.
Providing a comprehensive overview of the radiative behavior and properties of materials, the fifth edition of this classic textbook describes the physics of radiative heat transfer, development of relevant analysis methods, and associated mathematical and numerical techniques. Retaining the salient features and fundamental coverage that have made it popular, Thermal Radiation Heat Transfer, Fifth Edition has been carefully streamlined to omit superfluous material, yet enhanced to update information with extensive references. Includes four new chapters on Inverse Methods, Electromagnetic Theory, Scattering and Absorption by Particles, and Near-Field Radiative Transfer Keeping pace with significant developments, this book begins by addressing the radiative properties of blackbody and opaque materials, and how they are predicted using electromagnetic theory and obtained through measurements. It discusses radiative exchange in enclosures without any radiating medium between the surfaces—and where heat conduction is included within the boundaries. The book also covers the radiative properties of gases and addresses energy exchange when gases and other materials interact with radiative energy, as occurs in furnaces. To make this challenging subject matter easily understandable for students, the authors have revised and reorganized this textbook to produce a streamlined, practical learning tool that: Applies the common nomenclature adopted by the major heat transfer journals Consolidates past material, reincorporating much of the previous text into appendices Provides an updated, expanded, and alphabetized collection of references, assembling them in one appendix Offers a helpful list of symbols With worked-out examples, chapter-end homework problems, and other useful learning features, such as concluding remarks and historical notes, this new edition continues its tradition of serving both as a comprehensive textbook for those studying and applying radiative transfer, and as a repository of vital literary references for the serious researcher.
Open Issues In Core Collapse Supernova Theory
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Author : Anthony Mezzacappa
language : en
Publisher: World Scientific
Release Date : 2005-12-01
Open Issues In Core Collapse Supernova Theory written by Anthony Mezzacappa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-01 with Science categories.
Efforts to uncover the explosion mechanism of core collapse supernovae and to understand all of their associated phenomena have been ongoing for nearly four decades. Despite this, our theoretical understanding of these cosmic events remains limited; two- and three-dimensional modeling of these events is in its infancy. Most of the modeling efforts over the past four decades have, by necessity, been constrained to spherical symmetry, with the first two-dimensional, albeit simplified, models appearing only during the last decade. Simulations to understand the complex interplay between the turbulent stellar core fluid flow, its magnetic fields, the neutrinos produced in and emanating from the proto-neutron star, the stellar core rotation, and the strong gravitational fields have yet to be performed. Only subsets of these fundamental ingredients have been included in the models thus far, often with approximation.The purpose of this volume is to identify the outstanding issues that remain in order to come to a complete understanding of these important astrophysical events. As the book focuses on open issues rather than the current state of the art in the field — although the latter will certainly be discussed — it will remain relevant for some time.
Reactive Flows Diffusion And Transport
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Author : Willi Jäger
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-31
Reactive Flows Diffusion And Transport written by Willi Jäger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-31 with Mathematics categories.
The articles in this volume summarize the research results obtained in the former SFB 359 "Reactive Flow, Diffusion and Transport" which has been supported by the DFG over the period 1993-2004. The main subjects are physical-chemical processes sharing the difficulty of interacting diffusion, transport and reaction which cannot be considered separately. The modeling and simulation within this book is accompanied by experiments.