Heat conduction problem in a one-dimensional hard-point gas: Molecular dynamics and extended thermodynamics

2007 ◽  
Vol 177 (1-2) ◽  
pp. 164-165 ◽  
Author(s):  
S. Taniguchi ◽  
M. Nakamura ◽  
Masaharu Isobe ◽  
N. Zhao ◽  
M. Sugiyama
Keyword(s):  
Molecular Dynamics ◽  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Extended Thermodynamics ◽  
One Dimensional

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.

A Simple Model for Transient Heat Conduction in an Infinite Cylinder With Convective Boundary Conditions

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
Messaoud Guellal ◽  
Hamou Sadat ◽  
Christian Prax
Keyword(s):  
Heat Conduction ◽  
Simple Model ◽  
Perturbation Method ◽  
Explicit Solution ◽  
Heat Conduction Problem ◽  
Transient Heat Conduction ◽  
Infinite Cylinder ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
One Dimensional

A perturbation method is used to solve an unsteady one-dimensional heat conduction problem in a cylinder. A simple second order explicit solution is obtained. It is shown that this solution is accurate even for high values of the Biot number in a region surrounding the center of the cylinder.

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