Download or read book High order Spherical Harmonics Methods for Radiative Heat Transfer and Applications in Combustion Simulations written by and published by . This book was released on 2017 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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®.

Download or read book Radiative Heat Transfer in Turbulent Combustion Systems written by Michael F. Modest and published by Springer. This book was released on 2016-01-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction reviews why combustion and radiation are important, as well as the technical challenges posed by radiation. Emphasis is on interactions among turbulence, chemistry and radiation (turbulence-chemistry-radiation interactions – TCRI) in Reynolds-averaged and large-eddy simulations. Subsequent chapters cover: chemically reacting turbulent flows; radiation properties, Reynolds transport equation (RTE) solution methods, and TCRI; radiation effects in laminar flames; TCRI in turbulent flames; and high-pressure combustion systems. This Brief presents integrated approach that includes radiation at the outset, rather than as an afterthought. It stands as the most recent developments in physical modeling, numerical algorithms, and applications collected in one monograph.

Download or read book Radiative Heat Transfer written by Michael F. Modest and published by Academic Press. This book was released on 2021-10-16 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radiative Heat Transfer, Fourth Edition is a fully updated, revised and practical reference on the basic physics and computational tools scientists and researchers use to solve problems in the broad field of radiative heat transfer. This book is acknowledged as the core reference in the field, providing models, methodologies and calculations essential to solving research problems. It is applicable to a variety of industries, including nuclear, solar and combustion energy, aerospace, chemical and materials processing, as well as environmental, biomedical and nanotechnology fields. Contemporary examples and problems surrounding sustainable energy, materials and process engineering are an essential addition to this edition. - Includes end-of-chapter problems and a solutions manual, providing a structured and coherent reference - Presents many worked examples which have been brought fully up-to-date to reflect the latest research - Details many computer codes, ranging from basic problem solving aids to sophisticated research tools

Download or read book Direct Numerical Simulation and Radiation Monte Carlo for Turbulence radiation Interactions in Combustion Systems written by Kshitij V. Deshmukh and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulent combustion is encountered in many industrial applications such as combustors, nozzles, turbines, engines and furnaces. The increasing concern for pollutant emissions to the environment has led to a wide interest in studying the process in detail using numerical simulation with an aim to develop predictive models that would minimize expensive experiments. Three main approaches in this direction are direct numerical simulation (DNS), large eddy simulation (LES) and Reynolds average simulation (RAS). Moreover, the presence of high temperatures in turbulent combustion results in substantial heat transfer by radiation. Most work until today has either simplified or neglected radiation. This leads to neglect of turbulence?radiation interactions (TRI). In this work, DNS is coupled with a photon Monte Carlo method to solve the radiative transfer equation (RTE) to isolate and quantify TRI. A canonical statistically one-dimensional turbulent premixed combustion system is studied. The inflow boundary condition is improved to introduce turbulence and to help simulate a quasi-stationary flow. Both emission TRI and absorption TRI were found to be significant. A statistical analysis showed that using a moving average over time of the radiative source term reduces statistical noise and saves valuable computational resources without affecting the overall solution. For the first time, a third-order spherical harmonics method, P3 approximation is coupled with DNS to replace the photon Monte Carlo method. A canonical turbulent premixed combustion system is simulated and TRI are studied at large-to-small optical thicknesses. Emission TRI was found to be significant at all optical thickness, while absorption TRI was important at large and intermediate optical thickness and negligible at the optically thin limit. The implementation of the P3 approximation is seen as a viable alternative to the costly photon Monte Carlo method. Elliptic equations are typically solved in RAS-based and LES-based modeling and the P3 approximation consists of six elliptical partial differential equations (PDEs). It is hoped that the demonstration of use of the P3 approximation will generate interest for it to be included in future LES and RAS approaches and developments. A low-order model for LES using a?-PDF approach is also developed for a canonical statistically one-dimensional turbulent nonpremixed system. The mixture fraction and its variance are inputs to the model to obtain a PDF of mixture fraction. With the knowledge of the PDF of mixture fraction, the quantities that are functions of mixture fraction are convoluted with the mixture fraction PDF to obtain the chemical source term and the radiative emission terms. The mean profiles are predicted correctly but the nonlinear terms of radiative emission are not captured accurately, as the?-PDF cannot provide information for the higher-order terms. Still, as a one-equation model to be used as a first pass for LES simulation, this model has its advantages in that it is easy to implement and uses negligible additional computational resources over what is required for LES without any models.

Download or read book Modeling of Radiative Heat Transfer in Multidimensional Enclosures Using Spherical Harmonics Approximation written by Mustafa Pinar Menguc and published by . This book was released on 1985 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thermal Radiation Heat Transfer written by John R. Howell and published by CRC Press. This book was released on 2020-12-10 with total page 967 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Spherical Harmonics Method for Solving Spherical Radiative Heat Transfer Problems written by Weiming Li and published by . This book was released on 1989 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Coen Hamworthy Combustion Handbook written by Stephen Londerville and published by CRC Press. This book was released on 2013-03-25 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rigorous treatment of combustion can be so complex that the kinetic variables, fluid turbulence factors, luminosity, and other factors cannot be defined well enough to find realistic solutions. Simplifying the processes, The Coen & Hamworthy Combustion Handbook provides practical guidance to help you make informed choices about fuels, burners, and associated combustion equipment—and to clearly understand the impacts of the many variables. Editors Stephen B. Londerville and Charles E. Baukal, Jr, top combustion experts from John Zink Hamworthy Combustion and the Coen Company, supply a thorough, state-of-the-art overview of boiler burners that covers Coen, Hamworthy, and Todd brand boiler burners. A Refresher in Fundamentals and State-of-the-Art Solutions for Combustion System Problems Roughly divided into two parts, the book first reviews combustion engineering fundamentals. It then uses a building-block approach to present specific computations and applications in industrial and utility combustion systems, including those for Transport and introduction of fuel and air to a system Safe monitoring of the combustion system Control of flows and operational parameters Design of a burner/combustion chamber to achieve performance levels for emissions and heat transfer Avoidance of excessive noise and vibration and the extension of equipment life under adverse conditions Coverage includes units, fluids, chemistry, and heat transfer, as well as atomization, computational fluid dynamics (CFD), noise, auxiliary support equipment, and the combustion of gaseous, liquid, and solid fuels. Significant attention is also given to the formation, reduction, and prediction of emissions from combustion systems. Each chapter builds from the simple to the more complex and contains a wealth of practical examples and full-color photographs and illustrations. Practical Computations and Applications for Industrial and Utility Combustion Systems A ready reference and refresher, this unique handbook is designed for anyone involved in combustion equipment selection, sizing, and emissions control. It will help you make calculations and decisions on design features, fuel choices, emissions, controls, burner selection, and burner/furnace combinations with more confidence.

Download or read book The John Zink Hamworthy Combustion Handbook written by Charles E. Baukal Jr. and published by CRC Press. This book was released on 2012-12-13 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the length of time it has been around, its importance, and vast amounts of research, combustion is still far from being completely understood. Environmental, cost, and fuel consumption issues add further complexity, particularly in the process and power generation industries. Dedicated to advancing the art and science of industrial combusti

Download or read book Spherical Harmonics Methods for Thermal Radiation Transport written by Ryan G. McClarren and published by . This book was released on 2006 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Radiative Heat Transfer written by Michael F. Modest and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Slipcover for The John Zink Hamworthy Combustion Handbook written by Charles E. Baukal Jr. and published by CRC Press. This book was released on 2018-10-03 with total page 1184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the length of time it has been around, its importance, and vast amounts of research, combustion is still far from being completely understood. Issues regarding the environment, cost, and fuel consumption add further complexity, particularly in the process and power generation industries. Dedicated to advancing the art and science of industr

Download or read book Computing Methods in Reactor Physics written by Harold Greenspan and published by . This book was released on 1968 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advanced Technologies Systems and Applications II written by Mirsad Hadžikadić and published by Springer. This book was released on 2018-01-30 with total page 1203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovative and interdisciplinary applications of advanced technologies. It includes the scientific outcomes of the 9th DAYS OF BHAAAS (Bosnian-Herzegovinian American Academy of Arts and Sciences) held in Banja Vrućica, Teslić, Bosnia and Herzegovina on May 25–28, 2017. This unique book offers a comprehensive, multidisciplinary and interdisciplinary overview of the latest developments in a broad section of technologies and methodologies, viewed through the prism of applications in computing, networking, information technology, robotics, complex systems, communications, energy, mechanical engineering, economics and medicine, to name just a few.

Download or read book Heat Transfer in Industrial Combustion written by Jr., Charles E. Baukal and published by CRC Press. This book was released on 2000-05-26 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Industry relies heavily on the combustion process. The already high demand for energy, primarily from combustion, is expected to continue to rapidly increase. Yet, the information is scattered and incomplete, with very little attention paid to the overall combustion system. Designed for practicing engineers, Heat Transfer in Industrial Combustion e

Download or read book Computational Fluid Dynamics in Industrial Combustion written by Charles E. Baukal, Jr. and published by CRC Press. This book was released on 2000-10-26 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although many books have been written on computational fluid dynamics (CFD) and many written on combustion, most contain very limited coverage of the combination of CFD and industrial combustion. Furthermore, most of these books are written at an advanced academic level, emphasize theory over practice, and provide little help to engineers who need to use CFD for combustion modeling. Computational Fluid Dynamics in Industrial Combustion fills this gap in the literature. Focusing on topics of interest to the practicing engineer, it codifies the many relevant books, papers, and reports written on this combined subject into a single, coherent reference. It looks at each topic from a somewhat narrow perspective to see how that topic affects modeling in industrial combustion. The editor and his team of expert authors address these topics within three main sections: Modeling Techniques-The basics of CFD modeling in combustion Industrial Applications-Specific applications of CFD in the steel, aluminum, glass, gas turbine, and petrochemical industries Advanced Techniques-Subjects rarely addressed in other texts, including design optimization, simulation, and visualization Rapid increases in computing power and significant advances in commercial CFD codes have led to a tremendous increase in the application of CFD to industrial combustion. Thorough and clearly representing the techniques and issues confronted in industry, Computational Fluid Dynamics in Industrial Combustion will help bring you quickly up to date on current methods and gain the ability to set up and solve the various types of problems you will encounter.

Download or read book A Collection of Technical Papers AIAA 86 1235 written by and published by . This book was released on 1986 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: