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dc.contributor.authorKhawaja, Hassan Abbas
dc.date.accessioned2017-02-23T13:02:59Z
dc.date.available2017-02-23T13:02:59Z
dc.date.issued2017-01
dc.description.abstractThis work focuses on thermal problems, solvable using the heat equation. The fundamental question being answered here is: what are the limits of the dimensions that will allow a 3-D thermal problem to be accurately modelled using a 2-D Heat Equation? The presented work solves 2-D and 3-D heat equations using the Finite Difference Method, also known as the Forward-Time Central-Space (FTCS) method, in MATLAB®. For this study, a cuboidal shape domain with a square cross-section is assumed. The boundary conditions are set such that there is a constant temperature at its center and outside its boundaries. The 2-D and 3-D heat equations are solved in a time dimension to develop a steady state temperature profile. The method is tested for its stability using the Courant-Friedrichs-Lewy (CFL) criteria. The results are compared by varying the thickness of the 3-D domain. The maximum error is calculated, and recommendations are given on the applicability of the 2-D heat equation.en_US
dc.descriptionThis article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. Source: <a href=http://dx.doi.org/10.1063/1.4972667>http://dx.doi.org/10.1063/1.4972667</a>.en_US
dc.identifier.citationAIP Conference Proceedings 1798, 020075 (2017)en_US
dc.identifier.cristinIDFRIDAID 1380486
dc.identifier.issn1551-7616
dc.identifier.urihttps://hdl.handle.net/10037/10351
dc.language.isoengen_US
dc.publisherAmerican Institute of Physicsen_US
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400::Physics: 430en_US
dc.subjectheat equationen_US
dc.subjectFinite Difference Methoden_US
dc.subjectForward-Time Central-Space methoden_US
dc.titleApplicability Extent of 2-D Heat Equation for Numerical Analysis of a Multiphysics Problemen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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