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Proposing a Numerical Solution for the 3D Heat Conduction Equation
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posted on 2023-06-08, 12:08 authored by Mansour Al-QubeissiThe current paper presents a numerical technique in solving the 3D heat conduction equation. The Finite Volume method is used in the discretisation scheme. Gauss's theorem has also been employed for solving the integral parts of the general heat conduction equation in solving problems of steady and unsteady states. The proposed technique is applicable to unstructured (tetrahedral) elements for dealing with domains of complex geometries. The validation cases of the developed, FORTRAN based, heat conduction code in 1D, 2D and 3D representations have been reviewed with a grid independence check. Comparisons to the available exact solution and a commercial software solver are attached to the manuscript.
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Publication status
- Published
File Version
- Submitted version
Publisher
IEEE Conference PublicationsExternal DOI
Page range
144-149Pages
238.0Event type
conferenceBook title
Modelling Symposium (AMS), 2012 Sixth AsiaPlace of publication
Washington D.C.ISBN
9780769547305Department affiliated with
- Engineering and Design Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-08-07Usage metrics
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