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Numerical Analysis of Thermal Distributions and Localized Melting in Solids

Unkelbach, Wilhelm (2022)
Numerical Analysis of Thermal Distributions and Localized Melting in Solids.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00022968
Master Thesis, Primary publication, Publisher's Version

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Item Type: Master Thesis
Type of entry: Primary publication
Title: Numerical Analysis of Thermal Distributions and Localized Melting in Solids
Language: English
Referees: Stephan, Prof. Dr. Peter ; Gambaryan-Roisman, Apl. Prof. Tatiana ; Taggart, Prof. Dr. David G.
Date: 2022
Place of Publication: Darmstadt
Collation: x, 98 Seiten
DOI: 10.26083/tuprints-00022968

Analytic solutions for heat transfer problems are limited to simple geometries and boundary conditions. This thesis aims to investigate numerical methods for solving transient heat transfer problems, with particular emphasis on problems involving localized heating that can lead to phase change. Such problems are of increasing importance in modelling additive manufacturing processes. Heat transfer is present in most engineering applications. Complex problems require numerical solutions which involve complex geometries, non-uniform boundary conditions and transient temperature history. For such problems, finite difference and finite element solution techniques have been developed. This thesis introduces the basic numerical models for finite difference and finite element calculations. Then the found calculation problems are employed to solve validation problems and generic heat transfer problems. A comparison is drawn to commercial code, namely Abaqus. Finally, melting and freezing processes are modelled and evaluated.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-229683
Classification DDC: 500 Science and mathematics > 510 Mathematics
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Institute for Technical Thermodynamics (TTD) > Analysis of Thermal Energy Systems
Date Deposited: 07 Dec 2022 13:28
Last Modified: 08 Dec 2022 06:30
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/22968
PPN: 502351608
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