Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 63, 2013 - Issue 5
228
Views
31
CrossRef citations to date
0
Altmetric
Original Articles

Simultaneous Retrieval of Parameters in a Transient Conduction-Radiation Problem Using a Differential Evolution Algorithm

, , , &
Pages 373-395 | Received 24 Jan 2012, Accepted 15 Sep 2012, Published online: 21 Dec 2012

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 .
  • 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 .
  • L. H. Liu and J. Jiang , Inverse Radiation Problem for Reconstruction of Temperature Profile in Axisymmetric Free Flames , J. Quant. Spectrosc. Radiat. Transfer , vol. 70 , pp. 207 – 215 , 2001 .
  • C.-H. Huang and T.-Y. Hsiung , An Inverse Design Problem of Estimating Optimal Shape of Cooling Passages in Turbine Blades , Int. J. Heat Mass Transfer , vol. 42 , pp. 4307 – 4319 , 1999 .
  • 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 .
  • F. Zink , H. Waterer , R. Archer , and L. Schaefer , Geometric Optimization of a Thermoacoustic Regenerator , Int. J. Therm. Sci. , vol. 48 , pp. 2309 – 2322 , 2009 .
  • A. G. Kanaris , A. A. Mouza , and S. V. Paras , Optimal Design of a Plate Heat Exchanger with Undulated surfaces , Int. J. Therm. Sci. , vol. 48 , pp. 1184 – 1195 , 2009 .
  • S. K. Kim , B. S. Jung , H. J. Kim , and W. Lee , Inverse Estimation of Thermophysical Properties for Anisotropic composite , Exp. Therm. Fluid Sci. , vol. 27 , pp. 697 – 704 , 2003 .
  • 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. Spectrosc. Radiat. Transfer , vol. 87 , pp. 1 – 14 , 2004 .
  • M. N. Ozisik and H. R. B Orlande , Inverse Heat Transfer: Fundamentals and Applications , Taylor & Francis , New York , 2000 .
  • H. Erturk , O. A. Ezekoye , and J. R. Howell , Comparison of Three Regularized Solution Techniques in a Three-Dimensional Inverse Radiation Problem, J. Quant. Spectrosc. Radiat. Transfer , vol. 73, pp. 307–316, 2002.
  • 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 .
  • 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 , pp. 55 – 70 , 1992 .
  • M. Raudensk , K. A. Woodbury , J. Kral , and T. Brezina , Genetic Algorithm in Solution of Inverse Heat Conduction Problems , Numer. Heat Transfer B , vol. 28 , pp. 293 – 306 , 1995 .
  • 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 .
  • 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 .
  • S. Rahnamayan , H. R. Tizhoosh , and M. M. A. Salama , Opposition-Based Differential Evolution , IEEE Trans. Evol. Comput. , vol. 12 , pp. 64 – 79 , 2008 .
  • K. Price , and R. Storn , Differential Evolution: Numerical Optimization Made Easy , Dr. Dobb's J. , pp. 18 – 24 , 1997 .
  • R. Chelouah and P. Siarry , Tabu Search Applied to Global Optimization , Euro. J. Operational Research , vol. 123 , pp. 256 – 270 , 2000 .
  • L. H. Liu , H. P. Tan , and Q. Z. Yu , Simultaneous Identification of Temperature Profile and wall emissivities in one-dimensional semitransparent medium by inverse radiation Analysis , Numer. Heat Transfer A , vol. 36 , pp. 511 – 525 , 1999 .
  • R. P. Chopade , E. Agnihotri , A. K. Singh , A. Kumar , R. Uppaluri , S. C. Mishra , and P. Mahanta , Application of Particle Swarm Algorithm for Parameter Retrieval in a Transient Conduction-Radiation Problem , Numer. Heat Transfer A , vol. 59 , pp. 672 – 692 , 2011 .
  • 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 .
  • 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 .
  • A. Sakurai , S. C. Mishra , and S. Maruyama , Radiation Element Method Coupled with the Lattice Boltzmann Method Applied to the Analysis of a Transient Conduction and Radiation Heat Transfer Problem with Heat Generation in a Participating Medium , Numer. Heat Transfer A , vol. 57 , pp. 346 – 358 , 2010 .
  • S. C. Mishra , Ch. Hari Krishna , and M. Y. Kim , Analysis of Conduction and Radiation Heat Transfer in a 2-D Cylindrical Medium using the Modified Discrete Ordinate Method and the Lattice Boltzmann Method , Numer. Heat Transfer A , vol. 60 , pp. 254 – 287 , 2011 .
  • 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 .
  • 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 , pp. 89 – 107 , 2007 .
  • S. C. Mishra , M. Y. Kim , R. Das , and M. Ajith , and R. Uppaluri , Lattice Boltzmann Method Applied to the Analysis of Transient Conduction-Radiation Problem in a Cylindrical Medium , Numer. Heat Transfer A , vol. 56 , pp. 42 – 59 , 2009 .
  • 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.
  • J.-R. Ho , C.-P. Kuo , and 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 .
  • S. Succi , The Lattice Boltzmann Method for Fluid Dynamics and Beyond , Oxford University Press , New York , 2001 .
  • J. Kennedy , The Behavior of Particles , Evol. Progr. , vol. 7 , pp. 581 – 587 , 2008 .
  • A. Qing , Electromagnetic Inverse Scattering of Multiple Two-Dimensional Perfectly Conducting Objects by the Differential Evolution Strategy , IEEE Trans. Antennas Propag. , vol. 51 , pp. 1251 – 1262 , 2003 .
  • F.-S. Wang and J.-W. Sheu , Multiobjective Parameter Estimation Problems of Fermentation Processes using a High Ethanol Tolerance Yeast , Chem. Eng. Sci. , vol. 55 , pp. 3685 – 3695 , 2000 .
  • K. V. Price , R. M. Storn , and J. A. Lampinen , Differential Evolution—A Practical Approach to Global Optimization , Springer-Verlag , Berlin Heidelberg , 2005 .
  • C. Barker and W. H. Sutton , The Transient Radiation and Conduction Heat Transfer in a Gray Participating Medium with Semi-Transparent Boundaries , ASME J. Heat Trans. , vol. HTD-49 , pp. 25 – 36 , 1985 .
  • J. H. Tsai and J. D. Lin , Transient Combined Conduction and Radiation with Anisotropic Scattering , J. Thermophys. Heat Transfer , vol. 4 , pp. 92 – 97 , 1990 .
  • H. H. Rosenbrock , An Automatic Method for Finding the Greatest or Least Value of a Function , The Comp J. , vol. 3 , pp. 175 – 184 , 1960 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.