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A comparison of a plane 2D finite element and a 2D axisymmetric finite element used for the heat or diffusion problem

Lindberg, Gustav LU (2010) In LUTFD2/(TFHF-3085)/1-17/(2010) TFHF-3085.
Abstract
As a pre study for future work the output from a regular plane solid 2-dimensional finite element was compared with the output from a solid 2-dimensional axisymmetric finite element. It was done by creating a very simple finite element model for the heat convection problem. The purpose was to compare the results from a heat convection analysis. The model can be used directly for the mass diffusion problem as well. The model was first set up in Matlab, where formulations for both plane and axisymmetric elements were written. The Matlab model then was verified by modelling the heat convection problem in Abaqus and comparing the results. When the Matlab model was verified it was used to compare the results given by plane and axisymmetric... (More)
As a pre study for future work the output from a regular plane solid 2-dimensional finite element was compared with the output from a solid 2-dimensional axisymmetric finite element. It was done by creating a very simple finite element model for the heat convection problem. The purpose was to compare the results from a heat convection analysis. The model can be used directly for the mass diffusion problem as well. The model was first set up in Matlab, where formulations for both plane and axisymmetric elements were written. The Matlab model then was verified by modelling the heat convection problem in Abaqus and comparing the results. When the Matlab model was verified it was used to compare the results given by plane and axisymmetric elements. The results obtained implied that the inner radius should not be smaller than the radial thickness of the axisymmetric object. (Less)
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author
organization
publishing date
type
Book/Report
publication status
unpublished
subject
keywords
Finite Element Method, heat, diffusion, axisymmetric
in
LUTFD2/(TFHF-3085)/1-17/(2010)
volume
TFHF-3085
publisher
Solid Mechanics, Faculty of Engineering, Lund University
language
English
LU publication?
yes
id
3475ecf1-e62b-4fe4-b83e-17327dc5abff (old id 4275942)
date added to LUP
2014-01-29 09:53:08
date last changed
2016-04-16 08:59:46
@techreport{3475ecf1-e62b-4fe4-b83e-17327dc5abff,
  abstract     = {As a pre study for future work the output from a regular plane solid 2-dimensional finite element was compared with the output from a solid 2-dimensional axisymmetric finite element. It was done by creating a very simple finite element model for the heat convection problem. The purpose was to compare the results from a heat convection analysis. The model can be used directly for the mass diffusion problem as well. The model was first set up in Matlab, where formulations for both plane and axisymmetric elements were written. The Matlab model then was verified by modelling the heat convection problem in Abaqus and comparing the results. When the Matlab model was verified it was used to compare the results given by plane and axisymmetric elements. The results obtained implied that the inner radius should not be smaller than the radial thickness of the axisymmetric object.},
  author       = {Lindberg, Gustav},
  institution  = {Solid Mechanics, Faculty of Engineering, Lund University},
  keyword      = {Finite Element Method,heat,diffusion,axisymmetric},
  language     = {eng},
  series       = {LUTFD2/(TFHF-3085)/1-17/(2010)},
  title        = {A comparison of a plane 2D finite element and a 2D axisymmetric finite element used for the heat or diffusion problem},
  volume       = {TFHF-3085},
  year         = {2010},
}