The method of images for solving the equations of heat conduction in layered media

1969 ◽  
Vol 17 (3) ◽  
pp. 1162-1166 ◽  
Author(s):  
N. P. Gaponenko ◽  
D. I. Zaks
Keyword(s):  
Heat Conduction ◽  
Layered Media ◽  
Method Of Images

A matrix method for heat conduction in multi-layered media

1969 ◽  
Vol 73 (1) ◽  
pp. 143-151 ◽  
Author(s):  
Janardan G. Negi ◽  
Rishi Narain Singh
Keyword(s):  
Heat Conduction ◽  
Matrix Method ◽  
Layered Media

Heat conduction analysis in layered media with adhesive defect via single domain formulation, integral transforms and finite difference

2017 ◽  
Author(s):  
Fabricio Mascouto ◽  
Luiz A. S. Abreu ◽  
Emerson de Lima Sanches ◽  
Leandro Alcoforado Sphaier ◽  
Diego Knupp
Keyword(s):  
Heat Conduction ◽  
Finite Difference ◽  
Layered Media ◽  
Integral Transforms ◽  
Single Domain

Heat Transfer From Particles Confined Between Two Parallel Walls

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Ashok S. Sangani
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Mass Transfer ◽  
Heat Conduction ◽  
Entire Range ◽  
Composite Films ◽  
Particle Radius ◽  
Cylindrical Particle ◽  
Method Of Images ◽  
Cylindrical Particles

The rate of heat conduction (or mass transfer by diffusion) from a cylindrical or a spherical particle confined between two walls is determined as a function of the position and the radius of the particle. It is shown that the appropriate Green's function can be determined using the method of images even when the resulting series is divergent with the help of Shanks transformation. Asymptotic expansions for small particle radius compared to the distance between the walls are combined with the expressions for the case in which the gap between the particle and one of the walls is small compared to the particle radius to provide formulas that are surprisingly accurate for estimating the rate of heat transfer for the entire range of parameters that include the radius and the position of the particle. Results are also presented for the thermal dipole induced by a spherical or a cylindrical particle placed between two walls with unequal temperatures and these are used to predict the effective thermal conductivity of thin composite films containing spherical or cylindrical particles.

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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