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Original Articles

SENSITIVITY ANALYSIS AND OPTIMAL DESIGN FOR STEADY CONDUCTION PROBLEM WITH RADIATIVE HEAT TRANSFER

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Pages 213-232 | Received 13 Apr 2004, Accepted 28 Sep 2004, Published online: 01 Sep 2006

References

  • R. Siegel , Transient Effects of Radiative Transfer in Semitransparent Materials , Int. J. Eng. Sci. , 36 , pp. 1701 – 1739 , 1998 .
  • D. Bzowska , Sensitivity of Energy Demand to Temperature, Solar Radiation and Wind in Domestic Dwellings , Arch. Thermodyn. , 22 , pp. 37 – 52 , 2001 .
  • R. Haya , D. Rivas , and J. Sanz , Radiative Exchange Between a Cylindrical Crystal and a Monoellipsoidal Mirror Furnace , Int. J. Heat Mass Transf. , 40 , pp. 323 – 332 , 1997 .
  • B. T. F. Chung , B. X. Zhang , E. T. Zhang , A Multi-objective Optimization of Radiative Fin Array Systems in a Fuzzy Environment, J. Heat Transf. , vol. 118 pp. 642–649, 1996.
  • Z.-M. Tan and P.-F. Hsu , An Integral Formulation of Transient Radiative Heat Transfer , J. Heat Transf. 123 , pp. 466 – 475 , 2001 .
  • C. Wu , and S. Wu , Integral Equation Formulation for Transient Radiative Transfer in an Anisotropically Scattering Medium , Int. J. Heat Mass Transf. , 43 , pp. 2009 – 2020 , 2000 .
  • R. Siegel , Radiative Exchange in a Parallel-Plate Enclosure with Translucent Protective Coating on Its Walls , Int. J. Heat Mass Transf. , 42 , pp. 73 – 84 , 1999 .
  • Z. Guo and S. Maruyama , Radiative Heat Transfer in Inhomogeneous, Nongray, and Anisotropically Scattering Media , Int. J. Heat Mass Transf. , 43 , pp. 2325 – 2336 , 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 Transf. A: Appl. , 36 , pp. 511 – 525 , 1999 .
  • H. M. Park , and D. H. Yoo , A Multidimensional, Inverse Heat Radiation Problem of Estimating the Strength of a Heat Source in Participating Media , Int. J. Heat Mass Transf , vol. 44 pp. 2949 – 2956 , 2001
  • F. Asllanaj , G. Jeandel , and J. R. Roche , Numerical Solution of Radiative Transfer Equation Coupled with Nonlinear Heat Conduction Equation , Int. J. Numer. Method Heat Fluid Flow , 11 , pp. 449 – 473 , 2001 .
  • S. E. Wright , D. S. Scott , J. B. Haddow , and M. A. Rosen , On the Entropy of Radiative Heat Transfer in Engineering Thermodynamics , Int. J. Eng. Sci. , 39 , pp. 1691 – 1706 , 2001 .
  • C. K. Krishnaprakas , K. Badari Narayana , and P. Dutta , Radiation in Boundary Layer Flow of an Absorbing, Emitting and Anisotropically Scattering Fluid , Int. J. Numer. Method Heat Fluid Flow , 10 , pp. 530 – 540 , 2000 .
  • Y. Yener and I. Tari , Galerkin Method in Radiative Heat Transfer , Int. J. Eng. Sci. , 36 pp. 1535 – 1550 , 1998 .
  • R. A. Bialecki , Solving the Heat Radiation Problems Using the Boundary Element Method , Computational Mechanics Publications , Southampton and Boston , 1993 .
  • M. J. Yu , S. W. Baek , and J. H. Park , An Extension of the Weighted Sum of Gray Gases Non-gray Gas Radiation Model to a Two Phase Mixture of Non-gray Gas with Particles , Int. J. Heat Mass Transf. , 43 pp. 1699 – 1713 , 2000 .
  • H. M. Park and T. Y. Yoon , Solution of the Inverse Radiation Problem Using a Conjugate Gradient Method , Int. J. Heat Mass Transf. , 43 pp. 1767 – 1776 , 2000 .
  • B. A. Finlayson , The Method of Weighted Residuals and Variational Principles , p. 412 , Academic Press New York, London , 1972 .
  • R. A. Bialecki , R. Dallner , and G. Kuhn , Minimum Distance Calculation Between a Source Point and a Boundary Element , Eng. Anal. Bound. Elem , 12 pp. 211 – 218 , 1994 .
  • R. Siegel and J. R. Howell , Thermal Radiation Heat Transfer , p. 814 McGraw-Hill Book Company New York , 1972 .
  • K. Dems and Z. Mróz , Shape Sensitivity in Mixed Dirichlet-Neumann Boundary-Value Problems and Associated Class of Path-Independent Integrals , Eur. J. Mech. A—Solids , 14 , pp 169 – 203 , 1995 .
  • K. Dems , R. Korycki , and B. Rousselet , Application of First- and Second-Order Sensitivities in Domain Optimization for Steady Conduction Problem , J. Thermal Stresses , 20 , pp. 697 – 728 , 1997 .
  • K. Dems and B. Rousselet , Sensitivity Analysis for Transient Heat Conduction in a Solid Body, Part I: External Boundary Modification , Struct, Optimiz. , 17 , pp. 36 – 45 , 1999 .
  • K. Dems and B. Rousselet , Sensitivity Analysis for Transient Heat Conduction in a Solid Body, Part II: Interface Modification, Struct, Optimiz. , vol. 17, pp. 46–54, 1999.
  • P. Koniorczyk and J. Zmywaczyk , Numerical Calculations of Heat Transfer in Polyamide 6 Samples Carried Out in Order to Verify Experimental Investigations , Proc. XII International Conference on Computer Methods in Mechanics , p. 564 , Zegrze Poland 1995 .
  • J. P. Zolesio , The Material Derivative (or Speed) Method for Shape Optimization in E. J. Haug and J. Cea (eds.), Optimization of Distributed Parameters Structures , Alphen van den Rijn, Sijthoff and Noordhof , pp. 1152 – 1194 , 1981 .
  • E. J. Haug , K. K. Choi and V. Komkov , Design Sensitivity Analysis of Structural Systems , Academic Press , New York , 1986 .
  • R. Korycki , Shape Identification for Steady Conduction Problem , Proc. Second WCSMO Congress Zakopane p. 1018 , Poland, 1997.
  • R. Korycki , Shape Identification of the Two-Dimensional Structures for the Unsteady Conduction Problem , Proc. Third WCSMO Congress , Buffalo , NY , CD-ROM , 1999 .
  • R. Korycki , Identification of the Material Phases Location for the One-Dimensional Unsteady Heat Conduction Problem , Eng. Trans. , vol. 48 , pp. 357 – 372 , 2000 .
  • R. Korycki , Two-Dimensional Shape Identification for the Unsteady Conduction Problem , Struct. Multidisc. Optimiz. , vol. 21 , pp. 229 – 238 , 2001 .
  • J. Gyarmati , Non-equilibrium Thermodynamics , p. 184 Springer-Verlag , Berlin, Heidelberg , New York , 1970 .

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