COMPUTER-AIDED CALCULATION OF APPROXIMATE CLOSED-FORM SOLUTIONS FOR LINEAR TRANSIENT HEAT CONDUCTION PROBLEMS IN MULTILAYERED BODIES

REFERENCES

• M. N. Özisik , Heat Conduction , John Wiley , New York , 1980 .
   Google Scholar
• N. Y. Ölcer , Theory of Unsteady Heat Conduction in Multicomponent Finite Regions , Ingenieur Archiv , vol. 36 , pp. 285 – 293 , 1968 .
   Google Scholar
• M. D. Mikhailov , General Solutions of the Diffusion Equation Coupled at the Boundary Conditions , Int. J. Heat Mass Transfer , vol. 16 , pp. 2155 – 2164 , 1973 .
   Web of Science ®Google Scholar
• V. Arpaci , Conduction Heat Transfer , Addison-Wesley , Reading , Massachusetts , 1966 .
   Google Scholar
• H. Tautz , Warmeleitung und Temperaturausgleich , Verlag Chemie , Weinheim , 1971 .
   Google Scholar
• G. E. Myers , Analytical Methods in Conduction Heat Transfer , McGraw-Hill , New York , 1971 .
   Google Scholar
• W. Chester , R. Bobone , and E. Brocher , Transient Conduction Through a Two-Layer Medium , Int. J. Heat Mass Transfer , vol. 27 , no. 11 , pp. 2167 – 2170 , 1984 .
   Google Scholar
• M. D. Mikhailov , M. N. Ozisik , and N. L. Vulchanov , Diffusion in Composite Layers with Automatic Solution of the Eigenvalue Problem , Int. J. Heat Mass Transfer , vol. 26 , no. 8 , pp. 1131 – 1141 , 1983 .
   Web of Science ®Google Scholar
• V. Vodicka , Eindimensionale Warmeleitung in geschichteten Korpern , Math. Nachrichten , vol. 14 , pp. 47 – 55 , 1955 .
   Google Scholar
• M. H. Cobble , Heat Transfer in Composite Media Subject to Distributed Sources and Time Dependent Discrete Sources and Surroundings , J. Franklin Inst. , vol. 290 , no. 5 , pp. 453 – 465 , 1970 .
   Google Scholar
• J. V. Beck , Green's Function Solution for Transient Heat Conduction Problems , Int. J, Heat Mass Transfer , vol. 27 , no. 8 , pp. 1235 – 1244 , 1984 .
   Web of Science ®Google Scholar
• E. Schachinger and B. Schnizer , General Solution of the Two-Dimensional Heat Equation for Two Concentric Domains of Different Material , Warme- Stoffubertragung , vol. 14 , pp. 7 – 13 , 1980 .
   Google Scholar
• J. Baker-Jarvis and R. Inguva , Heat Conduction in Heterogeneous Materials , J. Heat Transfer , vol. 109 , pp. 39 – 43 , 1985 .
   Google Scholar
• T. R. Goodman , The Adjoint Heat Conduction Problems for Solids , ASTIA-AD 254-769 (AFOSR-520) , 1961 .
   Google Scholar
• K. Bechtold , Zur angenaherten Berechnung eindimensionaler instationarer Temper-aturfelder in ein- und mehrschichtigen Wanden , Ph.D. thesis , University of Clausthal , 1971 .
   Google Scholar
• L. W. Kantorowitsch and W. L. Krylow , N'dherungsmethoden der hoheren Analysis , Deutscher Verlag der Wissenschaften , Berlin , 1956 .
   Google Scholar
• A. Haji-Sheikh and M. Mashena , Integral Solution of Diffusion Equation Part 1—Gen-eral Solution , J. Heal Transfer , vol. 109 , pp. 551 – 556 , 1987 .
   Web of Science ®Google Scholar
• A. Haji-Sheikh and R. Lakshminarayanan , Integral Solution of Diffusion Equation Part 2-Boundary Conditions of the Second and Third Kinds , J. Heat Transfer , vol. 109 , pp. 557 – 562 , 1987 .
   Google Scholar
• B. Hachem , Etude Variationelle du Comportement Thermique et des Charges d'une Paroi Multicouche en Regime Variable , IIF Congress Freudenstadt , 1972 .
   Google Scholar
• W. Heidemann , Zur rechnerischen Ermittlung instationarer Temperaturfelder in geschlossener und diskreter Form , Ph.D. thesis , University of Stuttgart , 1995 .
   Google Scholar
• W. H. Press , B. P. Flannery , S. A. Teukolsky , and W. T. Vetterling , Numerical Recipes in Fortran , Cambridge University Press , Cambridge , England , 1988 .
   Google Scholar
• Address correspondence to W. Heidemann, Institute for Thermodynamics and Thermal Engineering, University of Stuttgart, Pfaffenwaldring 6, D-70550 Stuttgart, Germany. E-mail: heideman@ itw.uni-stuttgart.de
   Google Scholar