Transient nonlinear heat transfer using finite elements

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dc.contributor.advisorMartin, JBen_ZA
dc.contributor.authorKorvink, Jan Gerriten_ZA
dc.date.accessioned2016-03-10T06:55:18Z
dc.date.available2016-03-10T06:55:18Z
dc.date.issued1986en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractThis 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.en_ZA
dc.identifier.apacitationKorvink, J. G. (1986). <i>Transient nonlinear heat transfer using finite elements</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering. Retrieved from http://hdl.handle.net/11427/17618en_ZA
dc.identifier.chicagocitationKorvink, Jan Gerrit. <i>"Transient nonlinear heat transfer using finite elements."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering, 1986. http://hdl.handle.net/11427/17618en_ZA
dc.identifier.citationKorvink, J. 1986. Transient nonlinear heat transfer using finite elements. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Korvink, Jan Gerrit AB - 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. DA - 1986 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1986 T1 - Transient nonlinear heat transfer using finite elements TI - Transient nonlinear heat transfer using finite elements UR - http://hdl.handle.net/11427/17618 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/17618
dc.identifier.vancouvercitationKorvink JG. Transient nonlinear heat transfer using finite elements. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering, 1986 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/17618en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mechanical Engineeringen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMechanical Engineeringen_ZA
dc.subject.otherheat transferen_ZA
dc.titleTransient nonlinear heat transfer using finite elementsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMSc (Eng)en_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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