Generalization of some improved integral methods for transient heat conduction problems

10.2514/3.202 ◽  
1990 ◽  
Vol 4 (4) ◽  
pp. 417-418
Author(s):  
H. S. Kou ◽  
N. W. Fan
Keyword(s):  
Heat Conduction ◽  
Transient Heat Conduction ◽  
Integral Methods

The Heat-Balance Integral—Further Considerations and Refinements

1961 ◽  
Vol 83 (1) ◽  
pp. 83-85 ◽  
Author(s):  
Theodore R. Goodman
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Surface Temperature ◽  
Heat Balance ◽  
Transient Heat Conduction ◽  
Temperature Dependent ◽  
Integral Methods ◽  
Infinite Slab ◽  
The Heat Balance ◽  
Excellent Accuracy

Integral methods have previously been applied to transient heat conduction in a slab with constant thermal properties. In this paper the method is extended so as to include temperature-dependent thermal properties in the analysis. In addition, it is shown how to improve the accuracy of a solution by increasing the order of the polynomial used to represent the temperature profile. For the case of a prescribed step surface temperature in a semi-infinite slab, a quartic profile is shown to give excellent accuracy.

TRANSIENT HEAT CONDUCTION IN ANISOTROPIC SOLIDS

1974 ◽  
Author(s):  
Kozo Katayama ◽  
Akio Saito ◽  
Nariyoshi Kobayashi
Keyword(s):  
Heat Conduction ◽  
Transient Heat Conduction

Numerical Solution using SPH Method: An Application to Transient Heat Conduction

2019 ◽  
Author(s):  
Almério José Venâncio Pains Soares Pamplona ◽  
Karoliny Freitas Silva ◽  
Cláudio Bucar Filho ◽  
Joel Vasco
Keyword(s):  
Heat Conduction ◽  
Numerical Solution ◽  
Transient Heat Conduction ◽  
Sph Method
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