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Finite Element Method for 1D Transient Convective Heat Transfer Problems
Linnaeus University, Faculty of Technology, Department of Mathematics. Lnu.
2018 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

We study heat transfer in one dimension with and without convection, also called advection-diffusion. This is done using the Finite Element Method (FEM) to discretise the mathematical model, i.e. the heat equation. The results are compared to analytic Fourier series solutions. Our main result is that the FEM could be used to better model the heat transfer which allow for more accurate models than today's use of steady state models.

Place, publisher, year, edition, pages
2018. , p. 32
Keywords [en]
Advection-Diffusion, Convection, Convection Problems, Finite Element Method, FEM, Transient 1D Heat Equation, Discretisation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-76369OAI: oai:DiVA.org:lnu-76369DiVA, id: diva2:1223250
Educational program
Applied Mahtematics Programme, 180 credits
Supervisors
Examiners
Available from: 2018-06-25 Created: 2018-06-25 Last updated: 2018-06-25Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf