Transient nonlinear heat transfer using finite elements

 

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dc.contributor.advisor Martin, JB en_ZA
dc.contributor.author Korvink, Jan Gerrit en_ZA
dc.date.accessioned 2016-03-10T06:55:18Z
dc.date.available 2016-03-10T06:55:18Z
dc.date.issued 1986 en_ZA
dc.identifier.citation Korvink, J. 1986. Transient nonlinear heat transfer using finite elements. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/17618
dc.description Includes bibliographical references. en_ZA
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mechanical Engineering en_ZA
dc.subject.other heat transfer en_ZA
dc.title Transient nonlinear heat transfer using finite elements en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Engineering and the Built Environment
dc.publisher.department Department of Mechanical Engineering en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc (Eng) en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Korvink, 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/11427/17618 en_ZA
dc.identifier.chicagocitation Korvink, 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/11427/17618 en_ZA
dc.identifier.vancouvercitation Korvink 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/11427/17618 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


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