Aristide Mbiock, Roman Weber

Radiation in Enclosures (eBook, PDF)

Elliptic Boundary Value Problem

• Format: PDF

Produktbeschreibung

This graduate textbook is concerned with both the formulation and the solution of radiation heat transfer problems in enclosures. The book is essentially self-contained and includes a brief historical survey. The foundations are carefully discussed from the point of view of the exact mathematical basis of boundary value problems and their variational solutions as well as of the physical foundations. The computational methods developed by the authors are used in engineering applications. The combinaton of exact mathematical modelling with numerical skills makes this a unique textbook.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 211
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642570940
• Artikelnr.: 53386752

Inhaltsangabe

1 Introduction.- 1.1 Thermal Radiation.- 1.2 Short Historical Background.- 1.3 Motivations, Objectives and Scope.- 1.4 Basic Concepts in Boundary Value Problems.- 2 Physical Model.- 2.1 Emitted Radiation.- 2.2 Incident, Absorbed and Scattered Radiation.- 2.3 Radiation from Particulate Matter.- 2.4 Governing Equations with Shadow Zones.- 2.5 Energy Balance Relations.- 2.6 Energy Balance on a Unit Surface.- 3 Some Computational Methods.- 3.1 Directional Equation Methods.- 3.2 Net Energy Balance Methods.- 3.3 Concluding Remarks.- 3.4 The Boundary Value Equation.- 4 Mathematical Model.- 4.1 Subsidiary Conditions.- 4.2 Analysis of the Boundary Value Equation.- 4.3 Canonical Formulation.- 4.4 Irradiance Formulation.- 4.5 Analytical Form of the Solution.- 4.6 Quadratic Variational Formulation.- 4.7 Variational Solution: Existence, Uniqueness.- 4.8 Continuity of the Variational Solution.- 4.9 Question of Proper Posing Problem.- 5 Numerical Approximation.- 5.1 Description of the Method.- 5.2 Finite Element Representation.- 5.3 Definition of the Approximation Space.- 5.4 Formulation of the Approximated Problem.- 5.5 Convergence of the Numerical Solution.- 5.6 Definition of Shape Functions.- 5.7 Quadrature for the Coefficients of B and L.- 5.8 Algorithm for Computer Realization.- 6 Simulations in Specific Cases.- 6.1 The Transparent Medium.- 6.2 The Isothermal Gray Medium.- 6.3 The Non-isothermal Gray Medium.- 6.4 Non Gray Medium; Band Approximation.- 7 Spectral Properties of Gases.- 7.1 Principle of Infrared-Radiation in Gases.- 7.2 Properties of an Isothermal Gas Species.- 7.3 Properties of a Non-isothermal Gas Species.- 7.4 Medium Containing Several Gas Species.- 7.5 Band Radiation in a Well-Stirred Chamber.- 8 Application to Industrial Furnace.- 8.1 Experimental Configuration.- 8.2 Analysis of Experimental Flames.- 8.3 Concluding Remarks.- 8.4 Photo Panels - Experimental Flames.- 8.5 In-Flame and Wall Measurements.- 9 Radiation in Scattering Media.- 9.1 Formulation of theProblem.- 9.2 Radiation Heat Transfer with Conduction and/or Convection.- 9.2.2 Concluding Remarks.- 10 Conclusion.- Nomenclature.- References.

Rezensionen

From the reviews:

"The book is concerned with both the formulation and the general investigation and solution of the radiative heat transfer problem in enclosures of any geometrical shape, and for any temperature distribution and material properties. ... the book contains important advances in the radiation theory and will undoubtedly usefull for engineers and specialists in this field." (Vladimir P. Burskii, Zentralblatt MATH, Vol. 1139 (17), 2008)

"The book is concerned with both the formulation and the general investigation and solution of the radiative heat transfer problem in enclosures of any geometrical shape, and for any temperature distribution and material properties. ... the book contains important advances in the radiation theory and will undoubtedly usefull for engineers and specialists in this field." (Vladimir P. Burskii, zbMATH 1139.35044, 2021)