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Inverse Problems in Radiative Transfer

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Handbook of Thermal Science and Engineering

Abstract

Inverse problems are ubiquitous in all areas of radiative heat transfer. They can broadly be categorized as inverse design problems, with the goal of inferring a design configuration that satisfies an engineering requirement, and parameter estimation problems, in which an unknown parameter or set of parameters is inferred from measurement data. Both problem types are mathematically ill-posed, due to the fact that the available information is either barely adequate or inadequate to identify a unique or stable solution. This chapter reviews the mathematical properties of inverse problems, along with inverse analysis schemes that have been used to solve inverse problems that arise in radiative transfer. This is followed by a summary of inverse design and parameter estimation problems reported in the literature, along with detailed case studies for an inverse boundary condition design problem and a parametric estimation problem focused on inferring the soot aggregate size distribution from light scattering measurements.

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Authors and Affiliations

  1. Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, ON, Canada

    Kyle J. Daun

Authors
  1. Kyle J. Daun
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Correspondence to Kyle J. Daun .

Section Editor information

  1. Armour College of Engineering, Department of Mechanical, Materials and Aerospace Engineering, Illinois Institute of Technology, Chicago, Illinois, USA

    Sumanta Acharya

  2. Gas Technology Institute, Des Plaines, Illinois, USA

    Yaroslav Chudnovsky

  3. Universidade Federal do Rio de Janeiro - UFRJ, Rio de Janeiro, Rio de Janeiro, Brazil

    Renato Machado Cotta

  4. Department of Mechanical Engineering, Louisiana State University, Baton Rouge, Louisiana, USA

    Ram Devireddy

  5. Mechanical and Aerospace Engineering, University of California Los Angeles, Los Angeles, California, USA

    Vijay K. Dhir

  6. Cekmeköy Campus, Özyegin University, Çekmeköy - Istanbul, Turkey

    M. Pinar Mengüç

  7. Department of Mechanical and Industrial Engineering, Faculty of Applied Science + Engineering, University of Toronto, Centre for Advanced Coating Technologies, Toronto, Ontario, Canada

    Javad Mostaghimi

  8. Department of Mechanical Engineering, University of California, Riverside, California, USA

    Kambiz Vafai

  9. Çekmeköy Campus, Özyeğin University, Çekmeköy - Istanbul, Turkey

    Pinar Mengüç

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Daun, K.J. (2018). Inverse Problems in Radiative Transfer. In: Handbook of Thermal Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-26695-4_64

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