scholarly journals Solving nonlinear heat transfer problems using variation of parameters

2015 ◽  
Vol 93 ◽  
pp. 29-35 ◽  
Author(s):  
Travis J. Moore ◽  
Matthew R. Jones
Keyword(s):  
Heat Transfer ◽  
Variation Of Parameters ◽  
Nonlinear Heat Transfer ◽  
Transfer Problems

THE MODAL IDENTIFICATION METHOD IN NONLINEAR HEAT TRANSFER PROBLEMS

Equipment ◽  
2006 ◽  
Author(s):  
O. Balima ◽  
D. Petit ◽  
J. B. Saulnier ◽  
M. Girault ◽  
Y. Favennec
Keyword(s):  
Heat Transfer ◽  
Modal Identification ◽  
Identification Method ◽  
Nonlinear Heat Transfer ◽  
Transfer Problems

Effective Computation of Solutions for Nonlinear Heat Transfer Problems in Fins

2014 ◽  
Vol 136 (9) ◽  
Author(s):  
Mustafa Turkyilmazoglu
Keyword(s):  
Heat Transfer ◽  
Approximate Solution ◽  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
The Other ◽  
Engineering Applications ◽  
Nonlinear Heat Transfer ◽  
Base Functions ◽  
Transfer Problems

Fins are essentially used in diverse engineering applications to increase the heat transfer between the hot and cold media. In this paper, a technique for computing the analytic approximate solution of the nonlinear differential equations resulting from heat transfer problems, in particular through fins, is developed. The simplicity of the approach presented here is due to its base functions, which makes this method straightforward to apply and formulate without any need for discretization. Analysis of the error and comparisons with the other methods are presented. A few physically interesting fin problems of heat transfer are treated to illustrate that the proposed algorithm generates highly accurate solutions.

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