On the reflection of thermoelastic waves under an exact heat conduction model with a delay and temperature-dependent elastic parameters

2021 ◽  
pp. 1-32
Author(s):  
Manushi Gupta ◽  
Santwana Mukhopadhyay
Keyword(s):  
Heat Conduction ◽  
Temperature Dependent ◽  
Elastic Parameters ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Thermoelastic Waves

scholarly journals Nonlinear Solution to a Non-Fourier Heat Conduction Problem in a Slab Heated by Laser Source

2016 ◽  
Vol 63 (1) ◽  
pp. 129-144
Author(s):  
Mohammad Javad Noroozi ◽  
Seyfolah Saedodin ◽  
Davood Domiri Ganji
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Adomian Decomposition Method ◽  
Laser Source ◽  
Temperature Dependent ◽  
Conduction Model ◽  
Non Linear Equation ◽  
Adomian Decomposition ◽  
Non Linear ◽  
Fourier Heat Conduction

Abstract The effect of laser, as a heat source, on a one-dimensional finite body was studied in this paper. The Cattaneo-Vernotte non-Fourier heat conduction model was used for thermal analysis. The thermal conductivity was assumed temperature-dependent which resulted in a non-linear equation. The obtained equations were solved using the approximate-analytical Adomian Decomposition Method (ADM). It was concluded that the non-linear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in the similar problems.

Advanced thermoelastic heat conduction model with two ‎fractional parameters and phase-lags

2021 ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
A. Soleiman‎ ◽  
Hamid M. Sedighi ◽  
K.M. Khalil‎ ◽  
M.E. Nasr‎
Keyword(s):  
Heat Conduction ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Phase Lags
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