Heat Conduction in Multiply Adjoined Anisotropic Media with Embedded Point Heat Sources

2005 ◽  
Vol 128 (2) ◽  
pp. 207-214 ◽  
Author(s):  
Y. C. Shiah ◽  
Po-Wen Hwang ◽  
Ruey-Bin Yang
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Thermal Equilibrium ◽  
Anisotropic Media ◽  
Mapping Technique ◽  
Heat Sources ◽  
Physical Domain ◽  
Domain Mapping ◽  
Thermal Equilibrium Condition ◽  
The One

In this article the direct domain-mapping technique is applied in the boundary element method (BEM) to investigate the heat conduction in composites consisting of multiple anisotropic media with embedded point heat sources. By use of a linear coordinate transformation, the physical domain is mapped to an auxiliary plane for 2D or space for 3D, where the heat conduction is considered isotropic. However, the interfaces of adjoined materials with dissimilar properties will overlap or separate in the mapped plane or space. For the use of the subregioning technique in BEM to solve such problems, the thermal equilibrium condition for interfaces is developed to account for boundary distortions. In the mapped plane or space, not only the locations but also the strength of heat sources are transformed accordingly. After the problem is solved in the mapped plane or space, the obtained numerical solution is thereafter interpolated and transformed back to the one in the physical domain.

Heat Conduction in Dissimilar Anisotropic Media with Bonding Defects/Interface Cracks

2005 ◽  
Vol 21 (1) ◽  
pp. 15-23 ◽  
Author(s):  
Y. C. Shiah ◽  
R.-B. Yang ◽  
P.-W. Hwang
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Boundary Element Method ◽  
Potential Theory ◽  
Anisotropic Media ◽  
Mapping Technique ◽  
Interface Cracks ◽  
Numerical Examples ◽  
Powerful Approach ◽  
Domain Mapping

AbstractAs an essential foundation for the associated thermoelasticity analysis in the boundary element method (BEM), this article proposes an expedient, yet powerful, approach to analyze the heat conduction in multiply jointed anisotropic media with bonding defects/interface cracks. The direct domain mapping technique (DDM) is applied to treat a domain consisting of dissimilar anisotropic sub-regions in the potential theory of BEM. The heat transfer across a crack is modeled with a gap conductance equation specially formulated for the BEM analysis. Two numerical examples are provided as illustrations of the validity and the applicability of this proposed scheme.

scholarly journals Internal Freezing of Snow Cover due to its Own Cold Heat Sources (Abstract)

1985 ◽  
Vol 6 ◽  
pp. 329-329
Author(s):  
Y. Yamada ◽  
T. Ikarashi
Keyword(s):  
Heat Conduction ◽  
Open System ◽  
The Other ◽  
Fundamental Aspect ◽  
Heat Sources ◽  
Field Observations ◽  
Snow Layer ◽  
One Dimensional ◽  
Wet Snow ◽  
The One

This report discusses the one-dimensional freezing of dry snow/ wet snow systems for the condition first examined by Stefan: the problem of heat conduction with phase change. There are two systems of internal freezing: one is a closed system of temperature rise in a dry snow layer sandwiched between upper and lower wet snow layers; the other an open system of freezing of a thin wet layer provoked mainly by an upper dry snow layer facing the atmosphere at its surface. The latter negatively concerns the release of some avalanches, because the weak layers of surface avalanches in districts where the melt-freeze metamorphism prevails (as in the Horuriku district of Japan) may be the thin wet granular snow layers.Numerical results are given for different conditions of internal freezing. A comparison with field observations reveals the fundamental aspect of this phenomenon and the possibility of avalanche release.

scholarly journals Internal Freezing of Snow Cover due to its Own Cold Heat Sources (Abstract)

1985 ◽  
Vol 6 ◽  
pp. 329
Author(s):  
Y. Yamada ◽  
T. Ikarashi
Keyword(s):  
Heat Conduction ◽  
Open System ◽  
The Other ◽  
Fundamental Aspect ◽  
Heat Sources ◽  
Field Observations ◽  
Snow Layer ◽  
One Dimensional ◽  
Wet Snow ◽  
The One

This report discusses the one-dimensional freezing of dry snow/ wet snow systems for the condition first examined by Stefan: the problem of heat conduction with phase change. There are two systems of internal freezing: one is a closed system of temperature rise in a dry snow layer sandwiched between upper and lower wet snow layers; the other an open system of freezing of a thin wet layer provoked mainly by an upper dry snow layer facing the atmosphere at its surface. The latter negatively concerns the release of some avalanches, because the weak layers of surface avalanches in districts where the melt-freeze metamorphism prevails (as in the Horuriku district of Japan) may be the thin wet granular snow layers. Numerical results are given for different conditions of internal freezing. A comparison with field observations reveals the fundamental aspect of this phenomenon and the possibility of avalanche release.

scholarly journals A Numerical Simulation for Prediction of Infrared Radiation Emitted from Plain Surfaces with Different Geometries

2017 ◽  
Vol 22 (3) ◽  
pp. 653-664
Author(s):  
K.A. Vakilabadi ◽  
H. Moayeri ◽  
H. Ghassemi
Keyword(s):  
Numerical Simulation ◽  
Heat Conduction ◽  
Temperature Profile ◽  
Infrared Radiation ◽  
Computational Domain ◽  
Physical Domain ◽  
Two Dimensional ◽  
Maximum Value ◽  
Radiation Distribution ◽  
The One

Abstract In this paper, infrared radiation exiting plain surfaces with different geometries is numerically simulated. Surfaces under consideration are assumed to have steady uniform heat generation inside. Moreover, the boundaries of the surfaces are considered to be at the surroundings temperature. Infrared radiation is calculated based on the temperature profile determined for the surface. The temperature profile of the surface is determined assuming the two dimensional heat conduction equations to govern the problem. The physical domain is transformed into the appropriate computational domain and the governing equation is mapped into the suitable forms in the new coordinate system of variables. After that the temperature profile of the surface is computed, the infrared radiation distribution of the surface is evaluated based on the equations given in the manuscript. The temperature profile as well as the IR images are given in the results section. It is concluded that the maximum value of infrared radiation of the surface occurs at the center. Moreover, it is concluded that among surfaces with equal areas, the one having the largest perimeter has the least value of IR at its center.

Bem Study of 3D Heat Conduction in Multiply Adjoined Anisotropic Media with Quadratic Domain Heat Generation

2019 ◽  
Vol 35 (02) ◽  
pp. 225-231 ◽  
Author(s):  
N. A. Tuan ◽  
Y. C. Shiah
Keyword(s):  
Heat Conduction ◽  
Heat Generation ◽  
Three Dimensional ◽  
Boundary Surface ◽  
Anisotropic Media ◽  
Boundary Integral ◽  
Quadratic Functions ◽  
Successful Implementation ◽  
Heat Sources ◽  
Volume Heat

ABSTRACTIn engineering, it is quite often to have applications of the heat transfer of conduction having domain heat generation present inside. The paper aims to present boundary element formulations for analyzing the three-dimensional heat-conduction in dissimilarly bonded anisotropic media involving quadratic volume heat sources. In this paper, the additional volume integral present in the boundary integral equation is analytically transformed to the boundary surface for the volume heat sources modeled by quadratic functions. The technique of domain-mapping is employed to treat the three-dimensional anisotropic heat conduction in multiply adjoined media with proper interfacial conditions provided. For showing our successful implementation, a few example cases are analyzed with verification of independent analyses by the finite element method.

scholarly journals Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Zhicheng Hu ◽  
Zhihui Liu
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Transient Heat Conduction ◽  
Moving Mesh ◽  
Heat Sources ◽  
Two Dimensional ◽  
Moving Heat Source ◽  
Moving Mesh Method ◽  
Mesh Method ◽  
The One

This paper focuses on efficiently numerical investigation of two-dimensional heat conduction problems of material subjected to multiple moving Gaussian point heat sources. All heat sources are imposed on the inside of material and assumed to move along some specified straight lines or curves with time-dependent velocities. A simple but efficient moving mesh method, which continuously adjusts the two-dimensional mesh dimension by dimension upon the one-dimensional moving mesh partial differential equation with an appropriate monitor function of the temperature field, has been developed. The physical model problem is then solved on this adaptive moving mesh. Numerical experiments are presented to exhibit the capability of the proposed moving mesh algorithm to efficiently and accurately simulate the moving heat source problems. The transient heat conduction phenomena due to various parameters of the moving heat sources, including the number of heat sources and the types of motion, are well simulated and investigated.

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