Nonlinear Analysis of a One-Dimensional Non-Fourier Heat Conduction Problem

2017 ◽  
Vol 87 (3) ◽  
pp. 447-454
Author(s):  
Seyfolah Saedodin ◽  
Mohammad Javad Noroozi ◽  
Davood Domiri Ganji
Keyword(s):  
Heat Conduction ◽  
Nonlinear Analysis ◽  
Heat Conduction Problem ◽  
One Dimensional ◽  
Fourier Heat Conduction

NONLINEAR ANALYSIS OF A NON-FOURIER HEAT CONDUCTION PROBLEM IN A FIN HEATED BY CONSTANT HEAT SOURCE

2017 ◽  
Vol 48 (7) ◽  
pp. 571-584
Author(s):  
Mohammad Javad Noroozi ◽  
Seyfolah Saedodin ◽  
Davood D. Ganji
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Nonlinear Analysis ◽  
Heat Conduction Problem ◽  
Constant Heat ◽  
Fourier Heat Conduction

Nonlinear analysis of a non-Fourier heat conduction problem in a living tissue heated by laser source

2017 ◽  
Vol 10 (08) ◽  
pp. 1750107 ◽  
Author(s):  
Mohammad Javad Noroozi ◽  
Majid Goodarzi
Keyword(s):  
Heat Conduction ◽  
Nonlinear Analysis ◽  
Heat Conduction Problem ◽  
Adomian Decomposition Method ◽  
Experimental Result ◽  
Laser Source ◽  
Living Tissue ◽  
Conduction Model ◽  
Adomian Decomposition ◽  
Fourier Heat Conduction

The effect of laser, as a heat source, on a one-dimensional finite living tissue was studied in this paper. The dual phase lagging (DPL) non-Fourier heat conduction model was used for thermal analysis. The thermal conductivity was assumed temperature-dependent, resulting in a nonlinear equation. The obtained equations were solved using the approximate-analytical Adomian decomposition method (ADM). It was concluded that the nonlinear analysis was important in non-Fourier heat conduction problems. Moreover, a good agreement between the present nonlinear model and experimental result was obtained.

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.

Nonlinear Inverse Heat Conduction With a Moving Boundary: Heat Flux and Surface Recession Estimation

1999 ◽  
Vol 121 (3) ◽  
pp. 708-711 ◽  
Author(s):  
V. Petrushevsky ◽  
S. Cohen
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Fourier Series ◽  
Heat Conduction ◽  
Moving Boundary ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Variable Order ◽  
Inverse Heat Conduction ◽  
One Dimensional

A one-dimensional, nonlinear inverse heat conduction problem with surface ablation is considered. In-depth temperature measurements are used to restore the heat flux and the surface recession history. The presented method elaborates a whole domain, parameter estimation approach with the heat flux approximated by Fourier series. Two versions of the method are proposed: with a constant order and with a variable order of the Fourier series. The surface recession is found by a direct heat transfer solution under the estimated heat flux.

Joint State and Input Estimation for One-Dimensional Heat Conduction

2015 ◽  
Vol 137 (12) ◽  
Author(s):  
Sangeeta Nundy ◽  
Siddhartha Mukhopadhyay ◽  
Alok Kanti Deb
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Estimation Algorithm ◽  
Inverse Heat Conduction Problem ◽  
Least Square ◽  
Heat Conducting ◽  
Orthogonal Collocation ◽  
Input Estimation ◽  
One Dimensional ◽  
Joint State

This paper presents a joint state and input estimation algorithm for the one-dimensional heat-conduction problem. A computationally efficient method is proposed in this work to solve the inverse heat-conduction problem (IHCP) using orthogonal collocation method (OCM). A Kalman filter (KF) algorithm is used in conjunction with a recursive-weighted least-square (RWLS)-based method to simultaneously estimate the input boundary condition and the temperature field over the heat-conducting element. A comparison study of the algorithm is shown with explicit finite-difference method (FDM) of approximation and analytical solution of the forward problem, which clearly reveals the high accuracy with lower-dimensional modeling. The estimation results show that the performance of the estimator is robust to noise sensitivity up to a certain level, which is practically acceptable.

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