Investigation of thermal energy transport from an anisotropic central heating element to the adjacent channels: A multipoint flux approximation

Handle URI:
http://hdl.handle.net/10754/564026
Title:
Investigation of thermal energy transport from an anisotropic central heating element to the adjacent channels: A multipoint flux approximation
Authors:
Salama, Amgad ( 0000-0002-4463-1010 ) ; Sun, Shuyu ( 0000-0002-3078-864X ) ; El-Amin, Mohamed ( 0000-0002-1099-2299 )
Abstract:
The problem of heat transfer from a central heating element pressed between two clad plates to cooling channels adjacent and outboard of the plates is investigated numerically. The aim of this work is to highlight the role of thermal conductivity anisotropy of the heating element and/or the encompassing plates on thermal energy transport to the fluid passing through the two channels. When the medium is anisotropic with respect to thermal conductivity; energy transport to the neighboring channels is no longer symmetric. This asymmetry in energy fluxes influence heat transfer to the coolant resulting in different patterns of temperature fields. In particular, it is found that the temperature fields are skewed towards the principal direction of anisotropy. In addition, the heat flux distributions along the edges of the heating element are also different as a manifestation of thermal conductivity anisotropy. Furthermore, the peak temperature at the channel walls change location and magnitude depending on the principal direction of anisotropy. Based on scaling arguments, it is found that, the ratio of width to the height of the heating system is a key parameter which can suggest when one may ignore the effect of the cross-diagonal terms of the full conductivity tensor. To account for anisotropy in thermal conductivity, the method of multipoint flux approximation (MPFA) is employed. Using this technique, it is possible to find a finite difference stencil which can handle full thermal conductivity tensor and in the same time enjoys the simplicity of finite difference approximation. Although the finite difference stencil based on MPFA is quite complex, in this work we apply the recently introduced experimenting field approach which construct the global problem automatically.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Science and Engineering Program
Publisher:
Elsevier BV
Journal:
Annals of Nuclear Energy
Issue Date:
Feb-2015
DOI:
10.1016/j.anucene.2014.09.049
Type:
Article
ISSN:
03064549
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorSalama, Amgaden
dc.contributor.authorSun, Shuyuen
dc.contributor.authorEl-Amin, Mohameden
dc.date.accessioned2015-08-03T12:28:56Zen
dc.date.available2015-08-03T12:28:56Zen
dc.date.issued2015-02en
dc.identifier.issn03064549en
dc.identifier.doi10.1016/j.anucene.2014.09.049en
dc.identifier.urihttp://hdl.handle.net/10754/564026en
dc.description.abstractThe problem of heat transfer from a central heating element pressed between two clad plates to cooling channels adjacent and outboard of the plates is investigated numerically. The aim of this work is to highlight the role of thermal conductivity anisotropy of the heating element and/or the encompassing plates on thermal energy transport to the fluid passing through the two channels. When the medium is anisotropic with respect to thermal conductivity; energy transport to the neighboring channels is no longer symmetric. This asymmetry in energy fluxes influence heat transfer to the coolant resulting in different patterns of temperature fields. In particular, it is found that the temperature fields are skewed towards the principal direction of anisotropy. In addition, the heat flux distributions along the edges of the heating element are also different as a manifestation of thermal conductivity anisotropy. Furthermore, the peak temperature at the channel walls change location and magnitude depending on the principal direction of anisotropy. Based on scaling arguments, it is found that, the ratio of width to the height of the heating system is a key parameter which can suggest when one may ignore the effect of the cross-diagonal terms of the full conductivity tensor. To account for anisotropy in thermal conductivity, the method of multipoint flux approximation (MPFA) is employed. Using this technique, it is possible to find a finite difference stencil which can handle full thermal conductivity tensor and in the same time enjoys the simplicity of finite difference approximation. Although the finite difference stencil based on MPFA is quite complex, in this work we apply the recently introduced experimenting field approach which construct the global problem automatically.en
dc.publisherElsevier BVen
dc.subjectHeat transferen
dc.subjectMaterial testing reactorsen
dc.subjectMulti-point flux approximationen
dc.subjectThermal conductivity anisotropyen
dc.titleInvestigation of thermal energy transport from an anisotropic central heating element to the adjacent channels: A multipoint flux approximationen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalAnnals of Nuclear Energyen
dc.contributor.institutionNuclear Research Center, AEA, Egypten
dc.contributor.institutionMathematics Department, Aswan Faculty of Science, Aswan UniversityAswan, Egypten
kaust.authorSalama, Amgaden
kaust.authorSun, Shuyuen
kaust.authorEl-Amin, Mohameden
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