Finite element technique applied to heat conduction in solids with temperature dependent thermal conductivity

1973 ◽  
Vol 7 (3) ◽  
pp. 345-355 ◽  
Author(s):  
G. Aguirre-Ramirez ◽  
J. T. Oden
Keyword(s):  
Thermal Conductivity ◽  
Finite Element ◽  
Heat Conduction ◽  
Temperature Dependent ◽  
Finite Element Technique ◽  
Element Technique ◽  
Temperature Dependent Thermal Conductivity

scholarly journals Analysis of Convective Straight and Radial Fins with Temperature-Dependent Thermal Conductivity Using Variational Iteration Method with Comparison with Respect to Finite Element Analysis

2007 ◽  
Vol 2007 ◽  
pp. 1-15 ◽  
Author(s):  
Safa Bozkurt Coşkun ◽  
Mehmet Tarik Atay
Keyword(s):  
Thermal Conductivity ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Large Temperature ◽  
Temperature Dependent ◽  
Element Analysis ◽  
Variational Iteration ◽  
Temperature Dependent Thermal Conductivity

In order to enhance heat transfer between primary surface and the environment, radiating extended surfaces are commonly utilized. Especially in the case of large temperature differences, variable thermal conductivity has a strong effect on performance of such a surface. In this paper, variational iteration method is used to analyze convective straight and radial fins with temperature-dependent thermal conductivity. In order to show the efficiency of variational iteration method (VIM), the results obtained from VIM analysis are compared with previously obtained results using Adomian decomposition method (ADM) and the results from finite element analysis. VIM produces analytical expressions for the solution of nonlinear differential equations. However, these expressions obtained from VIM must be tested with respect to the results obtained from a reliable numerical method or analytical solution. This work assures that VIM is a promising method for the analysis of convective straight and radial fin problems.

scholarly journals Non-Fourier Heat Conduction Analysis with Temperature-Dependent Thermal Conductivity

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
H. Rahideh ◽  
P. Malekzadeh ◽  
M. R. Golbahar Haghighi
Keyword(s):  
Thermal Conductivity ◽  
Finite Element ◽  
Degrees Of Freedom ◽  
Differential Quadrature Method ◽  
Two Dimensional ◽  
Temperature Dependent ◽  
Temporal Domain ◽  
Fourier Heat Conduction ◽  
The One ◽  
Temperature Dependent Thermal Conductivity

As a first endeavor, the one- and two-dimensional heat wave propagation in a medium subjected to different boundary conditions and with temperature-dependent thermal conductivity is studied. Both the spatial as well as the temporal domain is discretized using the differential quadrature method (DQM). This results in superior accuracy with fewer degrees of freedom than conventional finite element method (FEM). To verify this advantage through some comparison studies, a finite element solution ise also obtained. After demonstrating the convergence and accuracy of the method, the effects of different parameters on the temperature distribution of the medium are studied.

Sign in / Sign up

Export Citation Format

Share Document