A dual-reciprocity boundary element approach for solving axisymmetric heat equation subject to specification of energy
A dual-reciprocity boundary element procedure is presented for the numerical solution of an axisymmetric heat conduction problem subject to a non-local condition. The non-local condition specifies the total amount of heat energy stored inside the solid under consideration. An unknown control functio...
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| Published in | Engineering analysis with boundary elements Vol. 32; no. 3; pp. 210 - 215 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
01.03.2008
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0955-7997 1873-197X |
| DOI | 10.1016/j.enganabound.2007.08.007 |
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| Abstract | A dual-reciprocity boundary element procedure is presented for the numerical solution of an axisymmetric heat conduction problem subject to a non-local condition. The non-local condition specifies the total amount of heat energy stored inside the solid under consideration. An unknown control function (of time) which governs the temperature on a certain part of the boundary of the solid is to be determined in the process of solving the axisymmetric heat equation. To check the validity of the numerical procedure, specific problems with known exact solutions are solved. |
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| AbstractList | A dual-reciprocity boundary element procedure is presented for the numerical solution of an axisymmetric heat conduction problem subject to a non-local condition. The non-local condition specifies the total amount of heat energy stored inside the solid under consideration. An unknown control function (of time) which governs the temperature on a certain part of the boundary of the solid is to be determined in the process of solving the axisymmetric heat equation. To check the validity of the numerical procedure, specific problems with known exact solutions are solved. |
| Author | Ang, Whye-Teong Ooi, Ean-Hin |
| Author_xml | – sequence: 1 givenname: Whye-Teong surname: Ang fullname: Ang, Whye-Teong email: mwtang@ntu.edu.sg – sequence: 2 givenname: Ean-Hin surname: Ooi fullname: Ooi, Ean-Hin |
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| Keywords | Dual-reciprocity method Non-local condition Axisymmetric heat conduction Boundary element method Heat equation Duality Axial symmetry Stored energy Exact solution Meshless method Reciprocity theorem Modelling Non local theory Heat transfer Thermal conduction |
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| SubjectTerms | Analytical and numerical techniques Axisymmetric Axisymmetric heat conduction Boundaries Boundary element method Boundary-integral methods Computational techniques Dual-reciprocity method Exact sciences and technology Exact solutions Fundamental areas of phenomenology (including applications) Heat conduction Heat equations Heat transfer Mathematical analysis Mathematical methods in physics Mathematical models Non-local condition Physics Specifications |
| Title | A dual-reciprocity boundary element approach for solving axisymmetric heat equation subject to specification of energy |
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