APPLICATION OF THE NETWORK METHOD TO HEAT CONDUCTION PROCESSES WITH POLYNOMIAL AND POTENTIAL-EXPONENTIALLY VARYING THERMAL PROPERTIES

References

• K. Mastanaiah and A. E. Muthunayagam Transient Conduction in a Finite Slab with Variable Thermal Conductivity , AIAA J. , vol, 13 , pp. 954 – 957 , 1975 .
   Google Scholar
• A. Aziz and Y. Benzies Application of Perturbation Techniques to Heat-Transfer Problems with Variable Thermal Properties , Int. J. Heat Mass Transfer , vol. 19 , pp. 271 – 276 , 1976 .
   Web of Science ®Google Scholar
• S. H. Lin Transient Heat Conduction in a Composite Slab with Variable Thermal Conductivity , Int. J. Numer. Methods Eng. , vol. 79 , pp. 1726 – 1731 , 1979 .
   Google Scholar
• S. P. Venkateshan and O. Solaiappan Approximate Solution of Non-Linear Transient Heat Conduction in One Dimension , Wdrme Stoffubertragung , vol. 23 , pp. 229 – 233 , 1988 .
   Google Scholar
• K. K. Tamma and S. B. Raikar Hybrid Transfinite Element Methodology for Nonlinear Transient Thermal Problems , Numer. Heat Transfer , vol. 11 , pp. 443 – 459 , 1987 .
   Google Scholar
• E. N. Soubassakis and W.-S. Yeung Application of the Method of Integral Relations to Transient Heat Conduction , Numer. Heat Transfer , vol. 17 , pp. 473 – 493 , 1990 .
   Web of Science ®Google Scholar
• H. T. Chen and J. Y. Lin Hybrid Laplace Transform Technique for Nonlinear Transient Thermal Problems , Int. J. Heat Mass Transfer , vol. 34 , pp. 1301 – 1308 , 1991 .
   Web of Science ®Google Scholar
• L. Peusner The Principles of Network Thermodynamics Theory and Biophysical Applications , chap. 1 , Entropy , Lincoln , Mass. , 1987 .
   Google Scholar
• A. Vladimirescu The Spice Book , chaps. 1 and 2 , John Wiley , New York , 1994 .
   Google Scholar
• J. Horno , F. Gonzàlez Caballero , A. Hayas , and C. F. Gonzàlez-Fernandez The Effect of Previous Convective Flux on the Nonstationary Diffusion Through Membranes Network Simulation , J. Membrane Sci. , vol. 48 , pp. 67 – 77 , 1990 .
   Google Scholar
• J. HornO , M. T. Garcia Hernandez , and C. F. Gonzalez-Fernandez Digital Simulation of Electrochemical Processes by Network Approach , J. Electroanal. Chem. , vol. 352 , pp. 83 – 97 , 1993 .
   Google Scholar
• C. F. Gonzalez-Fernandez , M. T. Garcia Hernandez , and J. Horno Computer Simulation of a Square Scheme with Reversible and Irreversible Charge Transfer by the Network Method , J. Electroanal. Chem. , vol. 395 , pp. 39 – 44 , 1995 .
   Google Scholar
• L. W. Nagel SPICE A Computer Program to Simulate Semiconductor Circuits , chaps . 4 – 6 , Memo UCB/ERL M520 , University of California , Berkeley , Calif. , 1977 .
   Google Scholar
• J. Crank The Mathematics of Diffusion, , 2 nd ed., chap. 3, Oxford University Press , New York , 1992 .
   Google Scholar
• C. Han-Taw and L. Jae-Yuh Hybrid Laplace Transform Technique for Nonlinear Transient Thermal Problems , Int. J. Heat Mass Transfer , vol. 34 , pp. 1301 – 1308 , 1991 .
   Web of Science ®Google Scholar
• Address correspondence to Professor Carlos F. González-Fernández, Departamento de Física, Escuela Técnica Superior, Universidad de Murcia, Paseo Alfonso XIII, 48, 30203, Cartagena, Spain. Email: [email protected]
   Google Scholar