Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 54, 2008 - Issue 4
260
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

A Distributed Transfer Function Method for Heat Conduction Problems in Multilayer Composites

Pages 314-337 | Received 30 Apr 2008, Accepted 11 Jul 2008, Published online: 11 Sep 2008

REFERENCES

  • H. S. Carslaw and J. C. Jaeger , Conduction of Heat in Solids, , 2nd ed. , Oxford University Press , Oxford , 1959 .
  • P. M. Morse and H. Feshbach , Methods of Theoretical Physics , McGraw-Hill , New York , 1953 .
  • M. N. Ozisik , Boundary Value Problems of Heat Conduction , International Textbook , Scranton , PA , 1968 .
  • F. M. Ramos and A. Giovannini , Finite Analytic Numerical Method for Transient Heat Diffusion in Layered Composite Materials , Numer. Heat Transfer B , vol. 22 , pp. 305 – 319 , 1992 .
  • J. Pakanen , Conduction of Heat through One- and Multilayer Slabs: A Differential Difference Approach , Numer. Heat Transfer B , vol. 30 , pp. 67 – 91 , 1996 .
  • A. K. Das and S. S. Sadhal , A Note on the Evaluation of Thermal Constriction Resistance for Finite Thickness Gaps , J. Heat Transfer , vol. 119 , pp. 177 – 180 , 1997 .
  • R. Siegel , Transient Thermal Analysis of Parallel Translucent Layers by Using Green's Functions , J. Thermophysics and Heat Transfer , vol. 13 , pp. 10 – 17 , 1999 .
  • F. de Monte , Transient Heat Conduction in One-Dimensional Composite Slab, A ‘Natural’ Analytic Approach, Inter. J. Heat and Mass Transfer , vol. 43, pp. 3607–3619, 2000.
  • R. P. A. Rocha , M. Anuel , and E. Cruz , Computation of the Effective Conductivity of Unidirectional Fibrous Composites with an Interfacial Thermal Resistance , Numer. Heat Transfer A , vol. 39 , pp. 179 – 203 , 2001 .
  • B. Ya. Kantor, N. V. Smetankina , and A. N. Shupikov , Analysis of Non-Stationary Temperature Fields in Laminated Strips and Plates , Inter. J. Solids and Structures , vol. 38 , pp. 8673 – 8684 , 2001 .
  • A. Sutradhar , G. H. Paulino , and L. J. Gray , Transient Heat Conduction in Homogeneous and Non-Homogeneous Materials by The Laplace Transform Galerkin Boundary Element Method , Eng. Anal. with Boundary Elements , vol. 26 , pp. 119 – 132 , 2002 .
  • T. P. Fredman , An Analytical Solution Method for Composite Layer Diffusion Problems with An Application in Metallurgy , Heat and Mass Transfer , vol. 39 , pp. 285 – 295 , 2003 .
  • Y. Sun and I. S. Wichman , On Transient Heat Conduction in a One-Dimensional Composite Slab , International J. Heat and Mass Transfer , vol. 47 , pp. 1555 – 1559 , 2004 .
  • X. Lu and P. Tervola , Transient Heat Conduction in the Composite Slab-Analytical Method , J. Physics A: Math. and Gen. , vol. 38 , pp. 81 – 96 , 2005 .
  • J. Li , P. Cheng , G. P. Peterson , and J. Z. Xu , Rapid Transient Heat Conduction in Multilayer Materials with Pulsed Heating Boundary , Numer. Heat Transfer A , vol. 47 , pp. 633 – 652 , 2005 .
  • Z.-H. Wang and K. H. Tan , Green's Function Solution for Transient Heat Conduction in Concrete-Filled CHS Subjected to Fire , Eng. Structures , vol. 28 , pp. 1574 – 1585 , 2006 .
  • V. Vodicka , Warmeleitung in Geschichteten Kugel-und Zylinderkorpern , Schweizer Archiv , vol. 10 , pp. 297 – 304 , 1950 .
  • C. W. Tittle , Boundary Value Problems in Composite Media: Quasi-Orthogonal Functions , J. App. Physics , vol. 36 , pp. 1486 – 1488 , 1965 .
  • J. V. Beck , Green's Function Solution for Transient Heat Conduction Problems , Inter. J. Heat and Mass Transfer , vol. 27 , pp. 1235 – 1244 , 1984 .
  • S. C. Huang and Y. P. Chang , Heat Conduction in Unsteady, Periodic and Steady States in Laminated Composites , ASME J. Heat Transfer , vol. 102 , pp. 742 – 748 , 1990 .
  • A. C. Giere , 1964/1965, Transient Heat Flow in a Composite Slab—Constant Flux, Zero Flux Boundary Conditions , Appl. Sci. Research, Section A , vol. 14 , pp. 191 – 198 , 1965 .
  • P. E. Bulavin and V. M. Kashcheev , Solution of Nonhomogeneous Heat-Conduction Equation for Multilayered Bodies , Int. Chem. Eng. , vol. 5 , no. 1 , pp. 112 – 115 , 1965 .
  • G. P. Mulholland and M. H. Cobble , Diffusion Through Composite Media , Inter. J. Heat and Mass Transfer , vol. 15 , pp. 147 – 160 , 1972 .
  • M. Jin and S. S. Sadhal , Thermal Boundary Conditions for Heterogeneous Solids , TMS Annual Meeting, Properties of Composites Session , Anaheim, Calif., February 4–8 , 1996 .
  • A. Haji-Sheikh , J. V. Beck , and D. Agonafer , Steady-State Heat Conduction in Multi-layer Bodies , Inter. J. Heat and Mass Transfer , vol. 46 , pp. 2363 – 2379 , 2003 .
  • M. C. B. Gough , Modeling Heat Flow in Buildings: An Eigenfunction Approach, Ph.D. Thesis , Cambridge University Press , Cambridge , 1982 .
  • A. Al-Mujahid and M. E. Zedan , Transient Heat-Conduction Response of a Composite Plane Wall , Wärme- und Stoffübertragung , vol. 26 , pp. 33 – 39 , 1990 .
  • B. Yang , Transfer Functions of Constrained/Combined One-Dimensional Continuous Dynamic Systems , J. Sound and Vibration , vol. 156 , pp. 425 – 443 , 1992 .
  • B. Yang and C. A. Tan , Transfer Functions of One-Dimensional Distributed Parameter Systems , ASME J. Applied Mechanics , vol. 59 , pp. 1009 – 1014 , 1992 .
  • B. Yang and H. Fang , Transfer Function Formulation of Non-Uniformly Distributed Parameter Systems , ASME J. Vibration and Acoustics , vol. 116 , pp. 426 – 432 , 1994 .
  • B. Yang , Stress, Strain, and Structural Dynamics: An Interactive Handbook of Formulas , Solutions, and MATLAB Toolboxes, Elsevier Science , Boston , 2005.
  • C. T. Chen , Linear Systems Theory and Design, , 3rd ed. , Oxford University Press , New York , 1999 .
  • R. C. Dorf and R. H. Bishop , Modern Control Systems, , 10th ed. , Prentice Hall , Upper Saddle River , New Jersey , 2005 .

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.