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Numerical Study Of Thermal Behavior Of Anisotropic Medium In Bidirectional Cylindrical Geometry
2019
MATEC Web of Conferences
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The equation of heat conduction for this virtual medium is solved by the alternating directions method. ...
In this work, we investigate the transient thermal analysis of two-dimensional cylindrical anisotropic medium subjected to a prescribed temperature at the two end sections and to a heat flux over the whole ...
Numerical solution and Validation The numerical method used to solve the above heat conduction equation is the alternating-direction implicit method (ADI). ...
doi:10.1051/matecconf/201928608009
fatcat:nqv24cabdrgofi5tvsvmdnwev4
Analysis of Two-Dimensional Steady-State Heat Conduction in Anisotropic Solids by Boundary Element Method Using Analog Equation Method and Green's Theorem
2009
Journal of Computational Science and Technology
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The mathematical formulation of this approach for two-dimensional problems is presented in detail. ...
heat conduction in anisotropic solids. ...
Formulations
Governing differential equation We consider two-dimensional steady-state heat conduction in anisotropic solids. ...
doi:10.1299/jcst.3.66
fatcat:uhvob6b4jzcq3j4nllth3saauq
Singular boundary method for steady-state heat conduction in three dimensional general anisotropic media
2012
International Journal of Heat and Mass Transfer
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This study makes the first attempt to apply the SBM to steady-state heat conduction in three-dimensional (3D) anisotropic materials. ...
The singular boundary method (SBM) is a recent strong-form meshless boundary collocation method. ...
Acknowledgements The work described in this paper was supported by the National ...
doi:10.1016/j.ijheatmasstransfer.2012.04.054
fatcat:ybw7elov3nhyroa7p4bs26nhjq
Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
2005
International Journal of Solids and Structures
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The application of the method of fundamental solutions to the Cauchy problem for steady-state heat conduction in two-dimensional functionally graded materials (FGMs) is investigated. ...
Numerical results are presented for both smooth and piecewise smooth geometries. ...
Lesnic from the Department of Applied Mathematics at the University of Leeds for all their encouragement in performing this research work. ...
doi:10.1016/j.ijsolstr.2005.01.005
fatcat:kldvjvjesjezzoe6wk5fdmxace
Page 1008 of Mathematical Reviews Vol. , Issue 2001B
[page]
2001
Mathematical Reviews
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(English summary)
Inverse Problems 15 (1999), no. 3, 659-667.
Summary: “We study the determination of an unknown bound- ary function in an initial-boundary value problem for the heat equation. ...
conductivity problem in a half space via integral geometry. ...
Seepage analysis in multi-domain general anisotropic media by three-dimensional boundary elements
2013
Engineering analysis with boundary elements
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A three-dimensional boundary element solution for the seepage analysis in multi-domain general anisotropic media has been developed based on the transformation approach. ...
of adjacent domains) on the corresponding nodes of interface between two neighbor domains are needed for boundary element method. ...
A comparison of boundary element method formulations for steady state anisotropic heat conduction in two dimensions based on the fundamental solution has been given by Mera et.al. [8] . ...
doi:10.1016/j.enganabound.2012.12.006
fatcat:bybqwnagfnebtehvms3hpgq42u
Page 592 of Mathematical Reviews Vol. , Issue 99a
[page]
1991
Mathematical Reviews
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Galerkin and inertial manifold methods for finite-dimensional approximation of nonlocal equations of nonlinear optics. (English summary) Inverse problems of natural science. Comput. Math. ...
For the first time, the method of images is used to generate the solution for an arbitrar- ily anisotropic three-dimensional half-space. ...
Geometric Methods for Anisotopic Inverse Boundary Value Problems
[chapter]
2004
New Analytic and Geometric Methods in Inverse Problems
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Alessandrini and Gaburro [2] have proved uniqueness results for a family of anisotropic conductivity inverse boundary value problems with one unknown function. ...
In the two dimensional case, with sufficiently obtuse triangles, the finite element method gives the same equations as a planar resistor mesh. ...
doi:10.1007/978-3-662-08966-8_12
fatcat:ib3jgsnfv5fenji6qlf7vaeeli
Page 1544 of Mathematical Reviews Vol. , Issue 87c
[page]
1987
Mathematical Reviews
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Summary: “A pseudoparabolic one-dimensional initial-boundary value problem arising in the theory of heat flow in materials with thermal memory is studied in which the boundary input is real- time-controlled ...
The authors outline the formulation of uniqueness conditions in the inverse thermal conductivity problem pertaining to a slender
87c:80008
rod. ...
An angular spectral method for solution of the heat equation in spheroidal geometries
2005
ANZIAM Journal
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A spectral numerical method is presented for solving the heat equation in oblate or prolate spheroids. Cartesian coordinates are scaled to transform the spheroidal geometry into a spherical geometry. ...
Without heat sources and with a homogeneous Dirichlet boundary condition the problem reduces to an eigenproblem for the decay rate. The results are compared to the separated ...
The solution method for (1) presented herein reduces the heat conduction problem to an equivalent heat problem in a sphere, with anisotropic heat conduction which depends on the ellipticity of the spheroid ...
doi:10.21914/anziamj.v46i0.994
fatcat:lztwehs3z5d6zld3unlyyxw6pm
Early Development of the BEM at the University of Kentucky
2007
Electronic Journal of Boundary Elements
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My professional and close personal association with Frank for two decades was one of the great privileges and pleasures of my life. ...
In addition, he was adept in communicating with others, such as colleagues and students, had a great capacity for hard work, and showed a remarkable willingness to plow through some of the less pleasant ...
The method we had used for numerical transform inversion in those problems had been designed for such functions. However, we wondered whether that method could be used also for oscillatory functions. ...
doi:10.14713/ejbe.v1i1.746
fatcat:ud3coktorfdwlb2sjd2safhxum
Verification of Two-Dimensional Monte Carlo Ray-Trace Methodology in Radiation Heat Transfer Analysis
[article]
2018
arXiv
pre-print
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Considered are two methods for determining the direction cosines in this situation. ...
Despite the frequent appearance in the radiation heat transfer literature of articles describing Monte Carlo ray-trace (MCRT) applications to two-dimensional enclosures, no formal verification may be found ...
ACKNOWLEDGMENT The authors gratefully acknowledge NASA's Langley Research Center for its financial support for this effort under NASA Contract NNL16AA05C with Science Systems and Applications, Inc., and ...
arXiv:1810.05204v2
fatcat:yeakoqeqzjcfrbpb56gigminre
A Parametric Study of Optimal Number and Location of Radiant Heaters in Enclosures with Participating Media
2016
Scientia Iranica. International Journal of Science and Technology
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The enclosure contains an absorbing, emitting and linear anisotropic scattering medium in radiative equilibrium. The discrete ordinate method is employed to solve the radiative transfer equation. ...
The inverse problem is formulated as an optimization problem and is solved using a micro-genetic algorithm. ...
Two-dimensional irregular enclosures are considered. The inverse problem is formulated as an optimization problem. ...
doi:10.24200/sci.2016.3826
fatcat:l2qrminesjdjjo6m6jafijfony
Finite Volume Monte Carlo (FVMC) method for the analysis of conduction heat transfer
2019
Journal of the Brazilian Society of Mechanical Sciences and Engineering
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geometry with unstructured mesh and the last one in a problem with a variable heat source and different kinds of boundary conditions. ...
The FVMC method is tested for three problems to assess the robustness of the method, first one in a simple geometry for validation and evaluation of the predictive performance, the second one in a complex ...
, one or two-dimensional geometries, no internal heat generation or simple functional forms of thermal conductivities that simplify considerably the analysis of the heat conduction [20, 21] . ...
doi:10.1007/s40430-019-1762-3
fatcat:g2bqpdbqpjcyvhxefrcu3euvvy
Analysis of Two-Dimensional Nonlinear Transient Heat Conduction in Anisotropic Solids by Boundary Element Method Using Dual Reciprocity Method
2007
Journal of Environment and Engineering
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One can consider the remainder as a body force and solve the equation using DRM. Mathematical formulations of this approach for two-dimensional problems are presented in detail. ...
This paper is concerned with an application of the boundary element method (BEM) using the dual reciprocity method (DRM) to analyze nonlinear transient heat conduction in anisotropic solids. ...
Formulation
Governing differential equation We shall consider two-dimensional nonlinear transient heat conduction in anisotropic solids. ...
doi:10.1299/jee.2.266
fatcat:4zgvg2h4anh6xp5vfkwmtnm4ka
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