Simulation of Nonlinear Heat Conduction in Perforated Material by Improved Moving Particle Semi-Implicit Method

2020 ◽  
Vol 142 (9) ◽  
Author(s):  
Jianqiang Wang ◽  
Xiaobing Zhang
Keyword(s):  
Heat Conduction ◽  
Laplacian Operator ◽  
Nonlinear Heat Conduction ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Particle Distributions ◽  
Temperature Dependent Conductivity ◽  
Irregular Particle ◽  
Moving Particle ◽  
Temperature Dependent Thermal Conductivity

Abstract An improved moving particle semi-implicit (MPS) method is presented to simulate heat conduction with temperature-dependent thermal conductivity. Based on Taylor expansion, a modified Laplacian operator is proposed, and its accuracy in irregular particle distributions is verified. Two problems are considered: (1) heat conduction in a one-dimensional (1D) slab and (2) heat conduction in a perforated sector with different boundary conditions. Consistent results with a mesh-based method are obtained, and the feasibility of the proposed method for heat conduction simulation with temperature-dependent conductivity is demonstrated.

RIBEM for 2D and 3D nonlinear heat conduction with temperature dependent conductivity

2018 ◽  
Vol 87 ◽  
pp. 1-8 ◽  
Author(s):  
Kai Yang ◽  
Wei-zhe Feng ◽  
Jing Wang ◽  
Xiao-wei Gao
Keyword(s):  
Heat Conduction ◽  
Nonlinear Heat Conduction ◽  
Temperature Dependent ◽  
Temperature Dependent Conductivity ◽  
2D And 3D

Radial integration BEM for solving transient nonlinear heat conduction with temperature-dependent conductivity

2017 ◽  
Vol 108 ◽  
pp. 1551-1559 ◽  
Author(s):  
Kai Yang ◽  
Hai-Feng Peng ◽  
Jing Wang ◽  
Chun-Hao Xing ◽  
Xiao-Wei Gao
Keyword(s):  
Heat Conduction ◽  
Nonlinear Heat Conduction ◽  
Temperature Dependent ◽  
Temperature Dependent Conductivity

Analytical Solution and Numerical Simulation for One-Dimensional Steady Nonlinear Heat Conduction in a Longitudinal Radial Fin with Various Profiles

2013 ◽  
Vol 44 (1) ◽  
pp. 20-38 ◽  
Author(s):  
R.J. Moitsheki ◽  
M.M. Rashidi ◽  
A. Basiriparsa ◽  
A. Mortezaei
Keyword(s):  
Numerical Simulation ◽  
Heat Conduction ◽  
Analytical Solution ◽  
Nonlinear Heat Conduction ◽  
One Dimensional

Sensitivity Analysis for Nonlinear Heat Conduction

2000 ◽  
Vol 123 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Kevin J. Dowding ◽  
Bennie F. Blackwell
Keyword(s):  
Heat Conduction ◽  
General Procedure ◽  
Model Parameters ◽  
Nonlinear Heat Conduction ◽  
Temperature Dependent ◽  
Sensitivity Equations ◽  
Verification Problem ◽  
Temperature Variable ◽  
Numerical Solver ◽  
Temperature Dependent Properties

Parameters in the heat conduction equation are frequently modeled as temperature dependent. Thermal conductivity, volumetric heat capacity, convection coefficients, emissivity, and volumetric source terms are parameters that may depend on temperature. Many applications, such as parameter estimation, optimal experimental design, optimization, and uncertainty analysis, require sensitivity to the parameters describing temperature-dependent properties. A general procedure to compute the sensitivity of the temperature field to model parameters for nonlinear heat conduction is studied. Parameters are modeled as arbitrary functions of temperature. Sensitivity equations are implemented in an unstructured grid, element-based numerical solver. The objectives of this study are to describe the methodology to derive sensitivity equations for the temperature-dependent parameters and present demonstration calculations. In addition to a verification problem, the design of an experiment to estimate temperature variable thermal properties is discussed.

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