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Transient nonlinear heat transfer using finite elements
Includes bibliographical references.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mechanical Engineering
2016
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| _version_ | 1867613335398121472 |
|---|---|
| access_status_str | Open Access |
| author | Korvink, Jan Gerrit |
| author2 | Martin, JB |
| author_browse | Korvink, Jan Gerrit Martin, JB |
| author_facet | Martin, JB Korvink, Jan Gerrit |
| author_sort | Korvink, Jan Gerrit |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/17618 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:28.941Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mechanical Engineering |
| publisherStr | Department of Mechanical Engineering |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/17618 Transient nonlinear heat transfer using finite elements Korvink, Jan Gerrit Martin, JB Mechanical Engineering heat transfer Includes bibliographical references. This thesis is concerned with the numerical modelling of the transient nonlinear heat conduction problem in solid continua. The hyperbolic governing equation is specialised to a parabolic equation which is sufficient for most engineering applications. The theoretical development includes the effects of conduction, specific heat, internal heat generation and the boundary conditions of convection, radiation, specified temperatures and flux, as well as point sources in the domain. The finite element spatial semidiscretisation of the equations is formally derived from the weak form of the governing equations. Temporal discretisation is obtained through an implicit/explicit difference scheme. The material properties are allowed to be temperature dependent, and consequently a modified Newton-Raphson iterative scheme is employed to solve the equations. The fully discretised equations are solved by implementing the algorithm in an existing finite element stress analysis code. Modelling is possible using four or eight-noded isoparametric elements, and solution control is possible through choice of time step size and choice of time integration method. Five examples are employed to demonstrate the ability of the program. The results compare well with published analytical solutions. 2016-03-10T06:55:18Z 2016-03-10T06:55:18Z 1986 Master Thesis Masters MSc (Eng) http://hdl.handle.net/11427/17618 eng application/pdf Department of Mechanical Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Mechanical Engineering heat transfer Korvink, Jan Gerrit Transient nonlinear heat transfer using finite elements |
| thesis_degree_str | Master's |
| title | Transient nonlinear heat transfer using finite elements |
| title_full | Transient nonlinear heat transfer using finite elements |
| title_fullStr | Transient nonlinear heat transfer using finite elements |
| title_full_unstemmed | Transient nonlinear heat transfer using finite elements |
| title_short | Transient nonlinear heat transfer using finite elements |
| title_sort | transient nonlinear heat transfer using finite elements |
| topic | Mechanical Engineering heat transfer |
| url | http://hdl.handle.net/11427/17618 |
| work_keys_str_mv | AT korvinkjangerrit transientnonlinearheattransferusingfiniteelements |