Generalization of the biot variational equation in the heat-conduction theory

1979 ◽  
Vol 36 (3) ◽  
pp. 364-366
Author(s):  
Yu. A. Samoilovich
Keyword(s):  
Heat Conduction ◽  
Variational Equation ◽  
Conduction Theory

scholarly journals Universality in heat conduction theory: weakly nonlocal thermodynamics

2012 ◽  
Vol 524 (8) ◽  
pp. 470-478 ◽  
Author(s):  
P. Ván ◽  
T. Fülöp
Keyword(s):  
Heat Conduction ◽  
Conduction Theory

Algebraically Explicit Analytical Solutions of Unsteady Conduction With Variable Thermal Properties in Spheroidal Coordinates

2004 ◽  
Author(s):  
Ruixian Cai ◽  
Na Zhang
Keyword(s):  
Thermal Conductivity ◽  
Thermal Properties ◽  
Heat Conduction ◽  
Analytical Solutions ◽  
Numerical Solutions ◽  
Spherical Coordinates ◽  
Rectangular Coordinates ◽  
Conduction Theory ◽  
Unsteady Heat Conduction ◽  
Spheroidal Coordinates

The analytical solutions of unsteady heat conduction with variable thermal properties (thermal conductivity, density and specific heat are functions of temperature or coordinates) are meaningful in theory. In addition, they are very useful to the computational heat conduction to check the numerical solutions and to develop numerical schemes, grid generation methods and so forth. Such solutions in rectangular coordinates have been derived by the authors; some other solutions for unsteady point symmetrical heat conduction in spherical coordinates are given in this paper to promote the heat conduction theory and to develop the relative computational heat conduction.

Microbeam Beam Heating Analysis of Thin Foils Using Heat Conduction Theory

2009 ◽  
Author(s):  
B. Lovelace ◽  
A. W. Haberl ◽  
H. Bakhru ◽  
J. C. Kimball ◽  
R. E. Benenson ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Thin Foils ◽  
Beam Heating ◽  
Conduction Theory

scholarly journals Dikes on permafrost: predicting thaw and settlement

1970 ◽  
Vol 7 (4) ◽  
pp. 365-371 ◽  
Author(s):  
W. G. Brown ◽  
G. H. Johnston
Keyword(s):  
Heat Conduction ◽  
Reasonable Accuracy ◽  
Frozen Ground ◽  
Permafrost Thaw ◽  
Conduction Theory ◽  
Good Agreement

Prediction of permafrost thaw and settlement of dikes constructed on perennially frozen ground is important for maintenance and foundation stability. A method is developed for estimating the rates of thaw and settlement, based on simple heat conduction theory. A comparison of calculated and observed rates of thaw for dikes on ice-rich foundation soils at the Kelsey Generating Station in northern Manitoba shows good agreement and indicates that thaw and settlement rates can be predicted with reasonable accuracy.

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