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TECHNICAL PAPERS: Radiative Heat Transfer

Application of Adomian’s Decomposition Procedure to the Analysis of Convective-Radiative Fins

[+] Author and Article Information
Ching-Huang Chiu

Department of Vehicle Engineering, National Huwei Institute of Technology, Huwei, Yunlin, Taiwan 632

Cha’o-Kuang Chen

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701

J. Heat Transfer 125(2), 312-316 (Mar 21, 2003) (5 pages) doi:10.1115/1.1532012 History: Received February 11, 2002; Revised October 08, 2002; Online March 21, 2003
Copyright © 2003 by ASME
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References

Kern, Q. D., and Kraus, D. A., 1972, Extended Surface Heat Transfer, McGraw-Hill, New York.
Chung,  B. T. F., Abdalla,  M. H., and Liu,  F., 1989, “Optimization of Convective Longitudinal Fins of Trapezoidal Profile,” Chem. Eng. Commun., 80, pp. 211–223.
Chu,  H. S., Chen,  C. K., and Weng,  C. I., 1983, “Transient Response of Circular Pins,” ASME J. Heat Transfer, 105, pp. 205–208.
Aziz,  A., 1985, “Optimization of Rectangular and Triangular Fins With Convective Boundary Condition,” Int. Commun. Heat Mass Transfer, 12, pp. 479–482.
Aziz,  A., and Hug,  S. M. Enamul, 1975, “Perturbation Solution for Convecting Fin With Variable Thermal Conductivity,” ASME J. Heat Transfer, 97, pp. 300–301.
Razelos,  P., 1986, “The Optimum Dimensions of Convective Pin Fins With Internal Heat Generation,” J. Franklin Inst., 321, pp. 1–19.
Adomian,  G., 1991, “A Review of the Decomposition Method and Some Recent Results for Nonlinear Equations,” Comput. Math. Appl., 21, pp. 101–127.
Adomian,  G., and Rach,  R., 1993, “Analytic Solution of Nonlinear Boundary-Value Problems in Several Dimensions by Decomposition,” J. Math. Anal. Appl., 174, pp. 118–137.
Adomian,  G., 1993, “A New Approach to the Heat Equation—An Application of Decomposition Method,” J. Math. Anal. Appl., 113, pp. 202–209.
Adomian, G., 1986, Nonlinear Stochastic Operator Equation, Kluwer Academic, Dordrecht.
Adomian, G., 1994, Solving Frontier Problems in Physics: The Decomposition Method, Kluwer Academic, Dordrecht.
Adomian, G., 1988, Nonlinear Stochastic System Theory and Application to Physics, Kluwer Academic, Dordrecht.
Yu,  L. T., and Chen,  C. K., 1998, “Application of Taylor Transformation to Optimize Rectangular Fins With Variable Thermal Parameters,” Appl. Math. Model., 22, pp. 11–21.

Figures

Grahic Jump Location
Straight fin of rectangular cross section
Grahic Jump Location
Error of boundary conditions, as a function of number of terms in the integral constants series
Grahic Jump Location
Error of governing equation at X=0.5, as a function of number of components in the approximate solution
Grahic Jump Location
Temperature distributions of a rectangular fin for pure convection, pure radiation and convection-radiation, at the fluid temperature Tf=450 K; 600 K; 900 K, respectively

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