Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 58, 2010 - Issue 3
81
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

The Smoothing of Temperature Data Using the Mollification Method in Heat Flux Estimating

&
Pages 227-246 | Received 07 Jan 2010, Accepted 08 Apr 2010, Published online: 23 Aug 2010

REFERENCES

  • J. V. Beck , B. Blackwell , and S. R. Clair , Inverse Heat Conduction: Ill-Posed Problems , Wiley , New York , 1988 .
  • O. M. Alifanov , Inverse Heat Transfer Problem , Springer-Verlag , New York , 1994 .
  • W. J. Minkowycz , E. M. Sparrow , G. E. Schneider , and R. H. Pletcher , Handbook of Numerical Heat Transfer , Wiley , New York , 1998 .
  • K. J. Dowing , J. V. Beck , and B. Blackwell , Estimation of Direction-Dependent Thermal Properties in a Carbon-Carbon Composite , Int. J. Heat Mass Transfer , vol. 39 , pp. 3157 – 3164 , 1996 .
  • K. K. Sun , S. J. Bup , J. K. Hee , and W. Lee , Inverse Estimation of Thermophysical Properties for Anisotropic Composite , Exp. Therm. Fluid Sci. , vol. 27 , pp. 697 – 704 , 2003 .
  • C. K. Hsieh and A. J. Kassab , A General Method for the Solution of Inverse Heat Conduction Problem with Partially Unknown Geometries , Int. J. Heat Mass Transfer , vol. 29 , pp. 47 – 58 , 1986 .
  • H. L. Lee , W. J. Chang , W. L. Chen , and Y. C. Yang , An Inverse Problem of Estimating the Heat Source in Tapered Optical Fibers for Scanning Near-Field Optical Microscopy , Ultra Microscopy , vol. 107 , pp. 656 – 662 , 2007 .
  • A. N. Tikhonov and V. Y. Arsenin , Solution of Ill-Posed Problems , Winston and Sons , Washington , DC , 1977.
  • C. H. Huang and C. W. Chen , A Boundary-Based Inverse Problem in Estimating Transient Boundary Conditions with Conjugate Gradient Method , Int. J. Numer. Meth. in Eng. , vol. 42 , pp. 943 – 965 , 1998 .
  • F. Kowsary , A. Behbahaninia , and A. Pourshaghaghy , Transient Heat Flux Function Estimation Utilizing the Variable Metric Method , Int. Comm. Heat and Mass Transfer (Elsevier) , vol. 33 , pp. 800 – 810 , 2006 .
  • A. Behbahaninia and F. Kowsary , A Dual Reciprocity BE-Based Sequential Function Specification Method for Inverse Heat Conduction Problem , Int. J. Heat and Mass Transfer , vol. 47 , pp. 1247 – 1255 , 2004 .
  • T. Sobota and J. Taler , Determination of Local Heat Transfer Coefficient on the Surface of Longitudinally Finned Tubes , Forsch Ingenieurwes , vol. 72 , pp. 77 – 84 , 2008 .
  • J. Gembarovic and M. Loffler , An Application of DHW Algorithm for the Solution of Inverse Heat Conduction Problem , Int. J. Thermophys. , vol. 27 , no. 4 , pp. 660 – 687 , 2005 .
  • T. Loulou and E. P. Scott , Dose Optimization in Hyperthermia Treatments by using the Conjugate Gradient Method , Numer. Heat Transfer A , vol. 42 , pp. 661 – 683 , 2002 .
  • C. H. Huang and H. M. Chen , Inverse Geometry Problem of Identifying Growths of Boundary Shapes in a Multiple Regine Domain , Numer. Heat Transfer A , vol. 35 , pp. 435 – 450 , 1999 .
  • 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 .
  • S. Kim , B. J. Chung , M. C. Kim , and K. Y. Kim , Inverse Estimation of Temperature-Dependent Thermal Conductivity and Heat Capacity Per Unit Volume with the Direct Integration Approach , Numer. Heat Transfer A , vol. 44 , pp. 521 – 535 , 2003 .
  • N. Al-Khalidy , On the Solution of Parabolic and Hyperbolic Inverse Heat Conduction Problems , Int. J. Heat and Mass Transfer , vol. 41 , pp. 3731 – 3740 , 1998 .
  • C. Ji and H. Jang , Experimental Investigation in Inverse Heat Conduction Problem , Numer. Heat Transfer A , vol. 34 , pp. 75 – 91 , 1998 .
  • H. Ahmadi Noubari , A. Pourshaghaghy , F. Kowsary , and A. Hakkaki-Fard , Wavelet Application for Reduction of Measurement Noise Effects in Inverse Heat Transfer Problems , Int. J. Numer. Math. Heat Fluid Flow , vol. 18 , no. 2 , pp. 217 – 236 , 2008 .
  • F. Kowsary , M. Sefidgar , A. Pourshaghaghy , and A. Hakkaki-Fard , Estimation of Kinetic Parameters of Composite Materials during the Cure Process using the Combined Wavelet Regularization Method , J. Eng. Phys. Thermophys. , vol. 82 , no. 5 . pp. 944 – 949 , 2009 .
  • A. Guzik and T. Styrylska , An Application of the Generalized Optimal Dynamic Filtration Method for Solving Inverse Heat Transfer Problems , Numer. Heat Transfer A , vol. 42 , pp. 531 – 548 , 2002 .
  • D. A. Murio , Automatic Numerical Differentiation by Discrete Mollification , Comp. Math. Appl. , vol. 13 , no. 4 , pp. 381 – 386 , 1987 .

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.