Application of a Particle Swarm Algorithm for Parameter Retrieval in a Transient Conduction-Radiation Problem

REFERENCES

• E. A. Ustinov , The Inverse Problem of Multi-Scattering Theory and the Interpolation of Measurements of Scattered Radiation in the Cloud Layer of Venus , Cosmic Res. , vol. 15 , pp. 667 – 672 , 1977 .
   Google Scholar
• E. S. Chalhoub and H. F. Campos Velho , Simultaneous Estimation of Radiation Phase Function and Albedo in Natural Waters , J. Quant. Spectroscopy Radiat. Transfer , vol. 69 , pp. 137 – 149 , 2001 .
   Web of Science ®Google Scholar
• L. H. Liu and J. Jiang , Inverse Radiation Problem for Reconstruction of Temperature Profile in Axisymmetric Free Flames , J. Quant. Spectroscopy Radiat. Transfer , vol. 70 , pp. 207 – 215 , 2001 .
   Web of Science ®Google Scholar
• H. Erturk , O. A. Ezekoye , and J. R. Howell , The Application of an Inverse Formulation in the Design of Boundary Conditions for Transient Radiative Enclosure , J. Heat Transfer , vol. 124 , pp. 1095 – 1102 , 2002 .
   Web of Science ®Google Scholar
• C. H. Huang and M. N. Ozisik , Direct Integration Approach for Simultaneously Estimating Temperature Dependent Thermal Conductivity and Heat Capacity , Numer. Heat Transfer A , vol. 20 , pp. 95 – 110 , 1991 .
   Web of Science ®Google Scholar
• S. Garcia and E. P. Scott , Use of Genetic Algorithms in Thermal Property Estimation: Part I – Experimental Design Optimization , Numer. Heat Transfer A , vol. 33 , pp. 135 – 147 , 1998 .
   Web of Science ®Google Scholar
• S. Garcia , J. Guynn , and E. P. Scott , Use of Genetic Algorithms in Thermal Property Estimation: Part II–Simultaneous Estimation of Thermal Properties , Numer. Heat Transfer, A , vol. 33 , pp. 149 – 168 , 1998 .
   Web of Science ®Google Scholar
• J. Su and G. F. Hewitt , Inverse Heat Conduction Problem of Estimating Time-Varying Heat Transfer Coefficient , Numer. Heat Transfer A , vol. 45 , pp. 777 – 789 , 2004 .
   Web of Science ®Google Scholar
• E. Divo , A. Kassab , and F. Rodriguez , Characterization of Space Dependent Thermal Conductivity with a BEM-Based Genetic Algorithm , Numer. Heat Transfer A , vol. 37 , pp. 845 – 875 , 2000 .
   Web of Science ®Google Scholar
• S. K. Kim , B. S. Jung , H. J. Kim , and W. Lee , Inverse Estimation of Thermophysical Properties for Anisotropic Composite , Exper. Thermal and Fluid Science , vol. 27 , pp. 697 – 704 , 2003 .
   Web of Science ®Google Scholar
• K. W. Kim , S. W. Baek , M. Y. Kim , and H. S. Ryou , Estimation of Emissivities in a Two-Dimensional Irregular Geometry by Inverse Radiation Analysis using Hybrid Genetic Algorithm , J. Quant. Spectroscopy Radiat. Transfer , vol. 87 , pp. 1 – 14 , 2004 .
   Web of Science ®Google Scholar
• M. Deiveegan , C. Balaji , and S. P. Venkateshan , Comparison of Various Methods for Simultaneous Retrieval of Surface Emissivities and Gas Properties in Gray Participating Media, J. Heat Transfer , vol. 128, pp. 829–837, 2006.
   Web of Science ®Google Scholar
• M. A. Katz and B. Rubinsky , An Inverse Finite-Element Technique to Determine the Change of Phase Interface Location in One-Dimensional Melting Problems , Numer. Heat Transfer A , vol. 7 , pp. 269 – 283 , 1984 .
   Google Scholar
• R. S. Banim , M. J. Tierney , and P. N. Brett , The Estimation of Fluid Temperatures through an Inverse Heat Conduction Technique , Numer. Heat Transfer A , vol. 37 , pp. 465 – 476 , 2000 .
   Web of Science ®Google Scholar
• M. N. Ozisik and H. R. B Orlande , Inverse Heat Transfer: Fundamentals and Applications , Taylor & Francis , New York , 2000 .
   Google Scholar
• H. Erturk , O. A. Ezekoye , and J. R. Howell , Comparison of Three Regularized Solution Techniques in a Three-Dimensional Inverse Radiation Problem , J. Quant. Spectroscopy Radiat. Transfer , vol. 73 , pp. 307 – 316 , 2002 .
   Web of Science ®Google Scholar
• H. M. Park and T. Y. Yoon , Solution of the Inverse Radiation Problem using a Conjugate Gradient Method , Int. J. Heat Mass Transfer , vol. 43 , pp. 1767 – 1776 , 2000 .
   Web of Science ®Google Scholar
• C. H. Huang , and M. N. Ozisik , Inverse Problem of Determining Unknown Wall Heat in Laminar Flow through a Parallel Plate , Numer. Heat Transfer A , vol. 21 , 55–70 , 1992 .
   Google Scholar
• S. Verma and C. Balaji , Multi-Parameter Estimation in Combined Conduction-Radiation from a Plane Parallel Participating Medium using Genetic Algorithms , Int. J. Heat Mass Transfer , vol. 50 , pp. 1706 – 1714 , 2007 .
   Web of Science ®Google Scholar
• R. Das , S. C. Mishra , and R. Uppaluri , Multiparameter Estimation in a Transient Conduction-Radiation Problem using the Lattice Boltzmann Method and the Finite Volume Method Coupled with the Genetic Algorithms , Numer. Heat Transfer A , vol. 53 , pp. 1321 – 1338 , 2008 .
   Web of Science ®Google Scholar
• K. H. Lee , S. W. Baek , and K. W. Kim , Inverse Radiation Analysis using Repulsive Particle Swarm Optimization Algorithm , Int. J. Heat Mass Transfer , vol. 51 , pp. 2772 – 2783 , 2008 .
   Web of Science ®Google Scholar
• H. Qi , L. M. Ruan , H. C. Zhang , Y. M. Wang , and H. P. Tan , Inverse Radiation Analysis of a One-Dimensional Participating Slab by Stochastic Particle Swarm Optimizer Algorithm , Int. J. Thermal Sci. , vol. 46 , pp. 649 – 661 , 2007 .
   Web of Science ®Google Scholar
• R. Eberhart and J. Kennedy , A New Optimizer using Particle Swarm Theory , Proc. Sixth Int. Symposium on Micro Machine and Human Science , pp. 39 – 43 , 1995 .
   Google Scholar
• J. Robinson and Y. Rahmat-Samii , Particle Swarm Optimization in Electromagnetics IEEE Transactions on Antennas and Propagation , vol. 52 , pp. 397 – 407 , 2004 .
   Google Scholar
• R. Chelouah and P. Siarry , Tabu Search Applied to Global Optimization , European J. Operational Res. , vol. 123 , pp. 256 – 270 , 2000 .
   Web of Science ®Google Scholar
• B. Mondal and S. C. Mishra , Application of the Lattice Boltzmann Method and the Discrete Ordinates Method for Solving Transient Conduction and Radiation Heat Transfer Problems , Numer. Heat Transfer A , vol. 52 , pp. 757 – 775 , 2007 .
   Web of Science ®Google Scholar
• S. C. Mishra and A. Lankadasu , Analysis of Transient Conduction and Radiation Heat Transfer using the Lattice Boltzmann Method and the Discrete Transfer Method , Numer. Heat Transfer A , vol. 47 , pp. 935 – 954 , 2005 .
   Web of Science ®Google Scholar
• P. Talukdar and S. C. Mishra , Analysis of Conduction and Radiation Heat Transfer with Heat Generation in Participating Medium using the Collapsed Dimension Method , Int. J. Heat Mass Transfer , vol. 39 , pp. 79 – 100 , 2001 .
   Google Scholar
• R. Siegel and J. Howell , Thermal Radiation Heat Transfer, , 4th ed. , Taylor and Francis , New York , 2002 .
   Google Scholar
• J. C. Chai , H. S. Lee , and S. V. Patankar , Finite Volume Method for Radiation Heat Transfer , J. Thermophys. Heat Transfer , vol. 8 , pp. 419 – 425 , 1994 .
   Web of Science ®Google Scholar
• S. C. Mishra , and H. K. Roy , Solving Transient Conduction-Radiation Problems using the Lattice Boltzmann Method and the Finite Volume Method, J. Comput. Phys. , vol. 223, 89–107, 2007.
   Web of Science ®Google Scholar
• P. Talukdar , F. V. Issendorff , D. Trimis , and C. J. Simonson , Conduction–Radiation interaction in 3-D Irregular Enclosures using the Finite Volume Method , Heat Mass Transfer , vol. 44 , pp. 695 – 704 , 2008 .
   Web of Science ®Google Scholar
• P. Talukdar , M. Steven , F. V. Issendorff , and D. Trimis , Finite Volume Method in 3-D Curvilinear Coordinates with Multiblocking Procedure for Radiative Transport Problems , Int. J. Heat Mass Transfer , vol. 48 , pp. 4657 – 4666 , 2005 .
   Web of Science ®Google Scholar
• L. M. Ruan , M. Xie , H. Qi , W. An , and H. P. Tan , Development of a Finite Element Model for Coupled Radiative and Conductive Heat Transfer in Participating Media , J. Quant. Spectrosc. Radiat. Transfer , vol. 102 , pp. 190 – 202 , 2006 .
   Web of Science ®Google Scholar
• S. C. Mishra , A. Lankadasu , and K. Beronov , Application of the Lattice Boltzmann Method for Solving the Energy Equation of a 2-D Transient Conduction-Radiation Problem , Int. J. Heat Mass Transfer , vol. 48 , pp. 3648 – 3659 , 2005 .
   Web of Science ®Google Scholar
• J.-R. Ho , C.-P. Kuo , W.-S. Jiaung , and C.-J. Twu , Lattice Boltzmann Scheme for Hyperbolic Heat Condition Equation , Numer. Heat Transfer B , vol. 41 , pp. 591 – 607 , 2002 .
   Web of Science ®Google Scholar
• J. Kennedy and R. Eberhart , Particle Swarm Optimization , Proc. IEEE Int. Conf. on Neural Networks , pp. 1942 – 1948 , 1995 .
   Google Scholar
• Y. Marinakis , M. Marinaki , M. Doumpos , and C. Zopounidis , Ant Colony and Particle Swarm Optimization for Financial Classification Problems , Expert Syst. Appl. , vol. 36 , pp. 10604 – 10611 , 2009 .
   Web of Science ®Google Scholar
• L. Wang and C. Singh , Stochastic Economic Emission Load Dispatch through a Modified Particle Swarm Optimization Algorithm , Electr. Power Syst. Res. , vol. 78 , pp. 1466 – 1476 , 2008 .
   Web of Science ®Google Scholar
• S. Succi , The Lattice Boltzmann Method for Fluid Dynamics and Beyond , Oxford University Press , New York , 2001 .
   Google Scholar
• J. Kennedy , The Behavior of Particles , Proceedings of the 7th International Conference Evolutionary Programming VII , vol. 7 , pp. 581 – 587 , 1998 .
   Google Scholar
• M. Clerc , Particle Swarm Optimization, ISTE , Newport Beach , CA , 2007 .
   Google Scholar
• C. Barker and W. H. Sutton , The Transient Radiation and Conduction Heat Transfer in a Gray Participating Medium with Semi-transparent Boundaries , ASME J. Radiation Heat Transfer , vol. HTD–49 , pp. 25 – 36 , 1985 .
   Google Scholar
• J. H. Tsai and J. D. Lin , Transient Combined Conduction and Radiation with Anisotropic Scattering , J. Thermophys. Heat Transfer , vol. 4 , no. 1 , pp. 92 – 97 , 1990 .
   Web of Science ®Google Scholar
• Y. Shi , and R. Eberhart , A Modified Particle Swarm Optimizer , Proc. of the IEEE Int. Conf. on Evolutionary Computation , pp. 69 – 73 , Piscataway , NJ , 1998 .
   Google Scholar
• M. Clerc and J. Kennedy , The Particle Swarm–Explosion, Stability, and Convergence in a Multidimensional Complex Space , IEEE Trans. on Evolutionary Computation , vol. 6 , no. 1 , pp. 58 – 73 , 2002 .
   Web of Science ®Google Scholar