SOLUTION TO INVERSE HEAT CONDUCTION PROBLEM IN NANOSCALE USING SEQUENTIAL METHOD

References

• Beck , J. V. , Blackwell , B. and St. Clair , C. R. 1985 . Inverse Heat Conduction: Ill-Posed Problems , New York : Wiley .
   Google Scholar
• Ozisik , M. N. and Orlande , H. R. B. 2000 . Inverse Heat Transfer: Fundamentals and Applications , New York : Taylor & Francis .
   Google Scholar
• Alifanov , O. M. 1994 . Inverse Heat Transfer Problems, International Series in Heat and Mass Transfer , Berlin, New York : Springer-Verlag .
   Google Scholar
• Sawaf , B. , Ozisik , M. N. and Jarny , Y. 1995 . An Inverse Analysis to Estimate Linearly Temperature-Dependent Thermal-Conductivity Components and Heat-Capacity of an Orthotropic Medium . Int. J. Heat Mass Transfer , 38 ( 16 ) : 3005 – 3010 .
   Web of Science ®Google Scholar
• Jarny , Y. , Ozisik , M. N. and Bardon , J. P. 1991 . A General Optimization Method Using Adjoint Equation for Solving Multidimensional Inverse Heat-Conduction . Int. J. Heat Mass Transfer , 34 ( 11 ) : 2911 – 2919 .
   Web of Science ®Google Scholar
• Kim , S. K. and Lee , W. I. 2002 . Solution of Inverse Heat Conduction Problems Using Maximum Entropy Method . Int. J. Heat Mass Transfer , 45 ( 2 ) : 381 – 391 .
   Web of Science ®Google Scholar
• Kim , S. K. 2000 . Evaluation of the Heat Transfer Coefficient during Hot-Jet Impingement Using an Inverse Method with Regularization Parameter Optimization . Int. J. Transport Phenomena , 2 ( 3 ) : 173 – 186 .
   Google Scholar
• Cahill , D. G. , Ford , W. K. , Goodson , K. E. , Mahan , G. D. , Majumdar , A. , Maris , H. J. , Merlin , R. and Phillpot , S. R. 2003 . Nanoscale Thermal Transport . J. Appl. Phy. , 93 ( 2 ) : 793 – 818 .
   Web of Science ®Google Scholar
• Joseph , D. D. and Preziosi , L. 1989 . Heat Waves . Rev. Modern Phys , 61 ( 1 ) : 41 – 73 .
   Google Scholar
• Joseph , D. D. and Preziosi , L. 1990 . Heat Waves . Rev. Modern Phys. , 62 ( 2 ) : 375 – 391 .
   Google Scholar
• Haji-Sheikh , A. , Minkowycz , W. J. and Sparrow , E. M. 2002 . Certain Anomalies in the Analysis of Hyperbolic Heat Conduction . J. Heat Transfer , 124 ( 2 ) : 307319
   Google Scholar
• Chen , H. T. , Peng , S. Y. , Yang , P. C. and Fang , L. C. 2001 . Numerical Method for Hyperbolic Inverse Heat Conduction Problems . Int. Commun. Heat Mass Transfer , 28 ( 6 ) : 847 – 856 .
   Web of Science ®Google Scholar
• Warrier , G. R. and Witte , L. C. 1999 . On the Application of the Hyperbolic Heat Equation in Transient Heat Flux Estimation during Flow Film Boiling . Numer. Heat Transfer A , 35 ( 4 ) : 343 – 359 .
   Google Scholar
• Al-Khalidy , N. 1998 . On the Solution of Parabolic and Hyperbolic Inverse Heat Conduction Problems . Int. J. Heat Mass Transfer , 41 ( 23 ) : 3731 – 3740 .
   Google Scholar
• Joshi , A. A. and Majumdar , A. 1993 . Transient Ballistic and Diffusive Phonon Heat-Transport in Thin-Films . Journal of Applied Physics , 74 ( 1 ) : 31 – 39 .
   PubMed Web of Science ®Google Scholar
• Lukes , J. R. , Li , D. Y. , Liang , X. G. and Tien , C. L. 2000 . Molecular Dynamics Study of Solid Thin-Film Thermal Conductivity . J. Heat Transfer , 122 ( 3 ) : 536 – 543 .
   Web of Science ®Google Scholar
• Cahill , D. G. , Goodson , K. and Majumdar , A. 2002 . Thermometry and Thermal Transport in Micro/Nanoscale Solid-State Devices and Structures . J. Heat Transfer , 124 ( 2 ) : 223 – 241 .
   Web of Science ®Google Scholar
• Ferziger , J. H. 1998 . Numerical Methods for Engineering Application , 2d , New York : Wiley .
   Google Scholar
• IMSL Math/Library User's Guide . 1994 . Visual Numerics , Texas : Houston .
   Google Scholar
• Goodson , K. E. 1996 . Thermal Conduction in Nonhomogeneous CVD Diamond Layers in Electronic Microstructures . J. Heat Transfer , 118 ( 2 ) : 279 – 286 .
   Google Scholar
• Goodson , K. E. and Ju , Y. S. 1999 . Heat Conduction in Novel Electronic Films . Annu. Rev. Mater. Sci , 29 : 261 – 293 .
   Web of Science ®Google Scholar
• Holland , M. G. 1964 . Phonon Scattering in Semiconductors from Thermal Conductivity Studies . Phys. Rev. , 134 ( 2A ) : A471 – A480 .
   Google Scholar
• Holland , M. G. 1963 . Analysis of Lattice Thermal Conductivity . Phys. Rev. , 132 ( 6 ) : 2461 – 2471 .
   Google Scholar
• Mazumder , S. and Majumdar , A. 2001 . Monte Carlo Study of Phonon Transport in Solid Thin Films including Dispersion and Polarization . J. Heat Transfer , 123 ( 4 ) : 749 – 759 .
   Web of Science ®Google Scholar
• Brockhouse , B. N. 1959 . Lattice Vibrations in Silicon and Germanium . Phys. Rev. Lett. , 6 ( 2 ) : 256 – 258 .
   Web of Science ®Google Scholar
• Kittel , C. 1996 . Introduction to Solid State Physics , 7th , New York : Wiley .
   Google Scholar
• Ozisik , M. N. 1973 . Radiative Transfer and Interactions with Conduction and Convection , New York : Wiley .
   Google Scholar
• Frankel , J. I. and Keyhani , M. 1997 . A Global Time Treatment for Inverse Heat Conduction Problems . J. Heat Transfer , 119 ( 4 ) : 673 – 683 .
   Web of Science ®Google Scholar
• Majumdar , A. 1993 . Microscale Heat-Conduction in Dielectric Thin-Films . J. Heat Transfer , 115 ( 1 ) : 7 – 16 .
   Web of Science ®Google Scholar
• Aristov , V. V. 2001 . Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows, Fluid Mechanics and Its Applications , Vol. 60 , Boston : Kluwer, Dordrecht .
   Google Scholar
• Stroscio , M. A. and Dutta , M. 2001 . Phonons in Nanostructures , Cambridge, New York : Cambridge University Press .
   Google Scholar
• Goodson , K. E. , Flik , M. I. , Su , L. T. and Antoniadis , D. A. 1995 . Prediction and Measurement of Temperature-Fields in Silicon-on-Insulator Electronic-Circuits . J. Heat Transfer , 117 ( 3 ) : 574 – 581 .
   Google Scholar
• Ziman , J. M. 1960 . Electrons and Phonons; the Theory of Transport Phenomena in Solids, The International Series of Monographs on Physics , Oxford : Clarendon Press .
   Google Scholar
• Beck , J. V. and Blackwell , B. 1988 . “ Inverse Problems ” . In Handbook of Numerical Heat Transfer , Edited by: Minkowycz , W. J. . New York : Wiley .
   Google Scholar