Author: Ryan G. McClarrenPublisher:
ISBN:
Category :
Languages : en
Pages : 376
Book Description
Spherical Harmonics Methods for Thermal Radiation Transport
Author: Ryan G. McClarrenApplication of the Double Spherical Harmonics Method to the One-dimensional Radiation-transfer Equation
Author: Leo G. Le SagePublisher:
ISBN:
Category : Radiative transfer
Languages : en
Pages : 36
Book Description
High-order Spherical Harmonics Methods for Radiative Heat Transfer and Applications in Combustion Simulations
Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 540
Book Description
The study of radiative transfer within participating gaseous and particulate media has become increasingly important in the prediction of the combustion process of hydrocarbons for various scientific and industrial applications. The radiative transfer equation (RTE) is an integro-differential equation in five independent variables describing the physical process of radiative transfer. The angular dependency of the RTE makes it exceedingly difficult to solve by deterministic methods. Several approximate deterministic methods for the RTE have been developed over time. Two most promising candidates, the discrete ordinates method (DOM) and the spherical harmonics (PN) method, are often used to solve the RTE even though both of them have their limitations. The DOM discretizes the entire solid angle by a finite number of ordinate directions and integrals over direction are replaced by numerical quadrature. DOM is relatively simple to implement but suffers from ray effects and false scattering and requires an iterative solution for scattering media or reflecting surfaces. On the other hand, the spherical harmonics PN method is a spectral method that solves the RTE by approximating the angular distribution of the intensity by a truncated series of spherical harmonics. Despite the popularity of the lowest order of the PN method, i.e., the P1 method, the potential of high-order PN methods has never been fully explored. This is partly due to cumbersome mathematics, and to lack of research in this area compared with the effort and progress made in its most popular counterpart, the DOM. Increasing of the order of PN is expected to overcome the difficulty of optically thin and optically intermediate conditions or domains with optically thin and optically intermediate regions, which is the motivation for this research. The Photon Monte Carlo (PMC) method is so far the most accurate method; unlike the DOM/FVM and PN methods, the stochastic PMC method gives an exact solution to the RTE. However, the PMC method can be computationally expensive since a large number of rays must be traced, which prevents it from wider applications in evaluating radiative transfer within combustion simulations. This study focuses on a recently-developed general PN formulation consisting of N(N + 1)/2 second-order elliptic PDEs and their Marshak's boundary conditions for arbitrary 3-D geometries. The number of equations and unknowns can be further reduced to (N + 1)2 /4 for two-dimensional geometries by taking advantage of the geometric characteristics of spherical harmonics. Special boundary conditions, including symmetry/specular reflection boundaries, walls with specified radiative flux, cyclic boundaries and mixed diffuse-specular surfaces have also been developed for high-order PN methods. The high-order PN methods (up to the order of 7) have been implemented within the finite volume-based OpenFOAM® open-source libraries. The performance of high-order PN methods is demonstrated by solving a number of examples covering a wide range of different geometries and varying radiative properties including coupled simulations of a turbulent jet flame and a frozen snapshot study of a high-temperature oxy-natural gas burner. The goal of these examples is to test the performances of the high-order PN methods with respect to all kinds of factors, e.g., order of PN, overall optical thickness, geometry, homogeneity of radiative properties, etc., as well as to verify the finite volume implementations of the high-order PN method on OpenFOAM®.
The Spherical Harmonics Method for Solving Spherical Radiative Heat Transfer Problems
Author: Weiming LiRadiative Heat Transfer
Author: Michael F. ModestPublisher: McGraw-Hill Science, Engineering & Mathematics
ISBN: 9780070426757
Category : Chaleur - Rayonnement et absorption
Languages : en
Pages : 0
Book Description
Offers a comprehensive treatment of heat transfer. In addition to the standard topics usually covered, it also includes a number of modern state-of-the-art topics including: radiative properties of particles, generation of P-N approximation and collimated irradiation.
Radiative Heat Transfer
Author: Michael F. ModestPublisher: Academic Press
ISBN: 0123869900
Category : Science
Languages : en
Pages : 905
Book Description
The third edition of Radiative Heat Transfer describes the basic physics of radiation heat transfer. The book provides models, methodologies, and calculations essential in solving research problems in a variety of industries, including solar and nuclear energy, nanotechnology, biomedical, and environmental. Every chapter of Radiative Heat Transfer offers uncluttered nomenclature, numerous worked examples, and a large number of problems—many based on real world situations—making it ideal for classroom use as well as for self-study. The book's 24 chapters cover the four major areas in the field: surface properties; surface transport; properties of participating media; and transfer through participating media. Within each chapter, all analytical methods are developed in substantial detail, and a number of examples show how the developed relations may be applied to practical problems. - Extensive solution manual for adopting instructors - 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
Radiative Heat Transfer
Author: Michael F. ModestPublisher: Academic Press
ISBN: 9780125031639
Category : Science
Languages : en
Pages : 850
Book Description
The basic physics of radiative heat - how surfaces emit, reflect, and absorb waves, and how that heat is distributed.
Thermal Radiation Heat Transfer
Author: John R. HowellPublisher: CRC Press
ISBN: 1000257835
Category : Science
Languages : en
Pages : 967
Book Description
The seventh edition of this classic text outlines the fundamental physical principles of thermal radiation, as well as analytical and numerical techniques for quantifying radiative transfer between surfaces and within participating media. The textbook includes newly expanded sections on surface properties, electromagnetic theory, scattering and absorption of particles, and near-field radiative transfer, and emphasizes the broader connections to thermodynamic principles. Sections on inverse analysis and Monte Carlo methods have been enhanced and updated to reflect current research developments, along with new material on manufacturing, renewable energy, climate change, building energy efficiency, and biomedical applications. Features: Offers full treatment of radiative transfer and radiation exchange in enclosures. Covers properties of surfaces and gaseous media, and radiative transfer equation development and solutions. Includes expanded coverage of inverse methods, electromagnetic theory, Monte Carlo methods, and scattering and absorption by particles. Features expanded coverage of near-field radiative transfer theory and applications. Discusses electromagnetic wave theory and how it is applied to thermal radiation transfer. This textbook is ideal for Professors and students involved in first-year or advanced graduate courses/modules in Radiative Heat Transfer in engineering programs. In addition, professional engineers, scientists and researchers working in heat transfer, energy engineering, aerospace and nuclear technology will find this an invaluable professional resource. Over 350 surface configuration factors are available online, many with online calculation capability. Online appendices provide information on related areas such as combustion, radiation in porous media, numerical methods, and biographies of important figures in the history of the field. A Solutions Manual is available for instructors adopting the text.
Spherical Harmonics (PN) Methods in the Sceptre Radiation Transport Code
Author: Thermal Radiation Heat Transfer, Fourth Edition
Author: Robert SiegelPublisher: CRC Press
ISBN: 9781560328391
Category : Technology & Engineering
Languages : en
Pages : 898
Book Description
This extensively revised 4th edition provides an up-to-date, comprehensive single source of information on the important subjects in engineering radiative heat transfer. It presents the subject in a progressive manner that is excellent for classroom use or self-study, and also provides an annotated reference to literature and research in the field. The foundations and methods for treating radiative heat transfer are developed in detail, and the methods are demonstrated and clarified by solving example problems. The examples are especially helpful for self-study. The treatment of spectral band properties of gases has been made current and the methods are described in detail and illustrated with examples. The combination of radiation with conduction and/or convection has been given more emphasis nad has been merged with results for radiation alone that serve as a limiting case; this increases practicality for energy transfer in translucent solids and fluids. A comprehensive catalog of configuration factors on the CD that is included with each book provides over 290 factors in algebraic or graphical form. Homework problems with answers are given in each chapter, and a detailed and carefully worked solution manual is available for instructors.