Nonlinear problem of heat conduction for a heat-sensitive sphere

1992 ◽  
Vol 62 (1) ◽  
pp. 103-106
Author(s):  
Yu. M. Kolyano ◽  
E. G. Ivanik ◽  
O. V. Sikora
Keyword(s):  
Heat Conduction ◽  
Nonlinear Problem

A Novel Method for Transient Heat Conduction in a Quasi-Periodic Structure With Nonlinear Defects

2020 ◽  
Vol 142 (12) ◽  
Author(s):  
Haichao Cui ◽  
Qiang Gao ◽  
Xiaolan Li ◽  
Huajiang Ouyang
Keyword(s):  
Heat Conduction ◽  
Periodic Structure ◽  
Nonlinear Problem ◽  
Superposition Principle ◽  
Nonlinear Problems ◽  
Transient Heat Conduction ◽  
Small Scale ◽  
Novel Method ◽  
Physical Features ◽  
Small Scale Structures

Abstract This paper proposes an efficient numerical method for transient heat conduction in a quasi-periodic structure with nonlinear defects. According to the physical features of transient heat conduction, a quasi-superposition principle for transient heat conduction in a quasi-periodic structure with nonlinear defects is presented, and then a new method is developed to separate the above nonlinear problem to be solved into a linear problem of a perfect periodic structure and nonlinear problems of some small-scale structures with defects. As the scale of nonlinear problem to be solved is significantly reduced and low computational resource is required, outstanding efficiency is achieved. Finally, a numerical example shows that the proposed method is effective and accurate.

On Heat Conduction in Highly Rarefied Air

1881 ◽  
Vol 11 (270supp) ◽  
pp. 4307-4307
Author(s):  
William Crookes
Keyword(s):  
Heat Conduction
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