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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 57, 2010 - Issue 1
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Original Articles

Analysis of Thermal Nonequilibrium Inverse Heat Transfer in a Porous Channel

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Pages 54-68 | Received 07 Jul 2009, Accepted 05 Nov 2009, Published online: 19 Jan 2010

REFERENCES

  • H.-T. Chen and X.-Y. Wu , Estimation of Surface Conditions for Nonlinear Inverse Heat Conduction Problems using the Hybrid Inverse Scheme , Numer. Heat Transfer B , vol. 51 , no. 2 , pp. 159 – 178 , 2007 .
  • H.-T. Chen and X.-Y. Wu , Estimation of Heat Transfer Coefficient in Two-Dimensional Inverse Heat Conduction Problems , Numer. Heat Transfer B , vol. 50 , no. 4 , pp. 375 – 394 , 2006 .
  • M. Samai and T. Loulou , A Comparative Study of Heat Flux and Temperature Based Objective Functional to Solve Inverse Heat Conduction Problems , Numer. Heat Transfer B , vol. 56 , no. 1 , pp. 75 – 104 , 2009 .
  • A. Behbahani-nia and F. Kowsary , A Direct Transformation Matrices Method for Solution of Inverse Heat Conduction Problems , Numer. Heat Transfer B , vol. 46 , no. 4 , pp. 371 – 386 , 2004 .
  • A. Azimi , S. Kazemzadeh Hannani , and B. Farhanieh , Structured Multiblock Body-Fitted Grids Solution of Transient Inverse Heat Conduction Problems in an Arbitrary Geometry , Numer. Heat Transfer B , vol. 54 , no. 3 , pp. 260 – 290 , 2008 .
  • F. Scarpa and G. Milano , Influence of Sensor Calibration Uncertainty in the Inverse Heat Conduction Problem (IHCP) Numer. Heat Transfer B , vol. 36 , no. 4 , pp. 457 – 474 , 1999 .
  • J. Su and G. F. Hewitt , Inverse Heat Conduction Problem of Estimating Time-Varying Heat Transfer Coefficient , Numer. Heat Transfer A , vol. 45 , no. 8 , pp. 777 – 789 , 2004 .
  • C. H. Lan , C. H. Cheng , and C. Y. Wu , Shape Design for Heat Conduction Problems using Curvilinear Grid Generation, Conjugate Gradient and Redistribution Methods , Numer. Heat Transfer A , vol. 39 , no. 5 , pp. 487 – 510 , 2001 .
  • M. Prud'homme and S. Jasmin , Inverse Solution for a Biochemical Heat Source in a Porous Medium in the Presence of Natural Convection, Chem. Eng. Sci. , vol. 61, pp. 1667–1675, 2006.
  • A. C. Alvarez , G. Hime , D. Marchesin , and P. G. Bedrikovetsky , The Inverse Problem of Determining the Filtration Function and Permeability Reduction in Flow of Water with Particles in Porous Media , Transp. Porous Media , vol. 70 , no. 1 , pp. 43 – 62 , 2007 .
  • S. Znaidia , F. Mzali , L. Sassi , A. Mhimid , A. Jemni , S. Ben Nasrallah , and D. Petit , Inverse Problem in a Porous Medium: Estimation of Effective Thermal Properties , Inverse Problems in Sci. and Eng. , vol. 13 , no. 6 , pp. 581 – 593 , 2005 .
  • J. Santos , Y. Efendiev , and L. Guarracino , Hydraulic Conductivity Estimation in Partially Saturated Soils using the Adjoint Method , Comp. Meth. Appl. Mech. Eng. , vol. 196 , no. 1–3 , pp. 161 – 179 , 2006 .
  • S. Jasmin and M. Prud'homme , Inverse Determination of a Heat Source from a Solute Concentration Generation Model in Porous Medium , Int. Comm. Heat Mass Transfer , vol. 32 , pp. 43 – 53 , 2005 .
  • P. DuChateau , An Inverse Problem for the Hydraulic Properties of Porous Media , SIAM J. Math. Anal. , vol. 28 , no. 3 , pp. 611 – 632 , 1997 .
  • M. Prud'homme and H. Jiang , Inverse Determination of Concentration in Porous Medium with Thermosolutal Convection , Int. Comm. Heat Mass Transfer , vol. 30 , no. 3 , pp. 303 – 312 , 2003 .
  • M. Prud'homme and S. Jasmin , Determination of a Heat Source in Porous Medium with Convective Mass Diffusion by an Inverse Method , Int. J. Heat Mass Transfer , vol. 46 , pp. 2065 – 2075 , 2003 .
  • L. B. Dantas , H. R. B. Orlande , and R. M. Cotta , An Inverse Problem of Parameter Estimation for Heat and Mass Transfer in Capillary Porous Media , Int. J. Heat Mass Transfer , vol. 46 , pp. 1587 – 1598 , 2003 .
  • C.-H. Huang and C.-Y. Yeh , An Inverse Problem in Simultaneous Estimating the Biot Numbers of Heat and Moisture Transfer for a Porous Material , Int. J. Heat Mass Transfer , vol. 45 , pp. 4643 – 4653 , 2002 .
  • M. Prud'homme and N. Hung , Solution of the Inverse Steady State Convection Problem in a Porous Medium by Adjoint Equations , Int. Comm. Heat Mass Transfer , vol. 28 , no. 1 , pp. 11 – 21 , 2001 .
  • M. Prud 'homme and S. Jasmin , Component Analysis of a Steady Inverse Convection Problem Solution in a Porous Medium , Int. Comm. Heat Mass Transfer , vol. 28 , no. 7 , pp. 911 – 921 , 2001 .
  • M. Kaviany , Principle of Heat Transfer in Porous Media , 2nd ed. , Springer , Berlin , 1995 .
  • B. Alazmi and K. Vafai , Constant Wall Heat Flux Boundary Conditions in Porous Media under Local Thermal Non-Equilibrium Conditions , Int. J. Heat Mass Transfer , vol. 45 , pp. 3071 – 3087 , 2002 .
  • S. Rao , Engineering Optimization: Theory and Practice , 3rd ed. , John Wiley & Sons, USA , 1996 .
  • K. Kurpisz and A. J. Nowak , Inverse Thermal Problems , 2nd ed. , Computational Mechanics Publications , Southampton , 1995 .
  • M. Necati Ozisik and H. R. B. Orlande , Inverse Heat Transfer-Foundation and Applications , Taylor & Francis , New York , 2000 .
  • A. Nouri-Borujerdi , A. R. Noghrehabadi , and D. A. S. Rees , The Effect of Local Thermal Non-Equilibrium on Impulsive Conduction in Porous Media , Int. J. Heat Mass Transfer , vol. 50 , pp. 3244 – 3249 , 2007 .

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