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On finite element modelling of surface tension phenomena. / Prihambodo Hendro Saksono

Swansea University Author: Prihambodo Hendro Saksono

Abstract

The objective of this work is to develop a computational framework for modelling the motion of liquid phase between moving particles associated with the processing of complex multiphase materials. The liquid phase may be present at various levels of saturation and necessarily includes numerous and i...

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Published: 2002
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42392
first_indexed 2018-08-02T18:54:35Z
last_indexed 2018-08-03T10:10:01Z
id cronfa42392
recordtype RisThesis
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spelling 2018-08-02T16:24:29.0725813 v2 42392 2018-08-02 On finite element modelling of surface tension phenomena. 6b71df5b5a9adb18622eba1094322147 NULL Prihambodo Hendro Saksono Prihambodo Hendro Saksono true true 2018-08-02 The objective of this work is to develop a computational framework for modelling the motion of liquid phase between moving particles associated with the processing of complex multiphase materials. The liquid phase may be present at various levels of saturation and necessarily includes numerous and irregular free surfaces. In this kind of situation the surface tension is dominant and governs the interparticle motion that plays a fundamental role during material processing. This work focuses on surface tension modelling using the finite element method. Two issues related to the modelling of surface tension are addressed in this thesis, the first one is the development of a finite element procedure capable of modelling accurately the motion of the free surface boundaries between the gas and liquid phases. The second issue is finite element modelling of surface tension at such boundaries. The finite element formulation is based on the use of the incremental flow formulation of the Lagrangian form of the initial boundary value problem governing the free surface flow. The incompressibility constraint associated with the Newtonian fluid employed in this work is imposed using the penalty method. With regard to the surface tension model, the constitutive model commonly known as the Laplace-Young equation is employed. In the Lagrangian framework the surface tension formulation emerges naturally through the weak form of the Laplace-Young equation and the use of the surface divergence theorem reduces the continuity requirement across the element boundary from to C[1] to C[0]. The performance of the finite element model of surface tension is validated by means of numerical examples for both equilibrium and dynamic cases. The finite element results are compared against both analytical solutions and experimental results. E-Thesis Mechanical engineering.;Fluid mechanics. 31 12 2002 2002-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.0725813 2018-08-02T16:24:29.0725813 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Prihambodo Hendro Saksono NULL 1 0042392-02082018162450.pdf 10798100.pdf 2018-08-02T16:24:50.8030000 Output 6805155 application/pdf E-Thesis true 2018-08-02T16:24:50.8030000 false
title On finite element modelling of surface tension phenomena.
spellingShingle On finite element modelling of surface tension phenomena.
Prihambodo Hendro Saksono
title_short On finite element modelling of surface tension phenomena.
title_full On finite element modelling of surface tension phenomena.
title_fullStr On finite element modelling of surface tension phenomena.
title_full_unstemmed On finite element modelling of surface tension phenomena.
title_sort On finite element modelling of surface tension phenomena.
author_id_str_mv 6b71df5b5a9adb18622eba1094322147
author_id_fullname_str_mv 6b71df5b5a9adb18622eba1094322147_***_Prihambodo Hendro Saksono
author Prihambodo Hendro Saksono
author2 Prihambodo Hendro Saksono
format E-Thesis
publishDate 2002
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description The objective of this work is to develop a computational framework for modelling the motion of liquid phase between moving particles associated with the processing of complex multiphase materials. The liquid phase may be present at various levels of saturation and necessarily includes numerous and irregular free surfaces. In this kind of situation the surface tension is dominant and governs the interparticle motion that plays a fundamental role during material processing. This work focuses on surface tension modelling using the finite element method. Two issues related to the modelling of surface tension are addressed in this thesis, the first one is the development of a finite element procedure capable of modelling accurately the motion of the free surface boundaries between the gas and liquid phases. The second issue is finite element modelling of surface tension at such boundaries. The finite element formulation is based on the use of the incremental flow formulation of the Lagrangian form of the initial boundary value problem governing the free surface flow. The incompressibility constraint associated with the Newtonian fluid employed in this work is imposed using the penalty method. With regard to the surface tension model, the constitutive model commonly known as the Laplace-Young equation is employed. In the Lagrangian framework the surface tension formulation emerges naturally through the weak form of the Laplace-Young equation and the use of the surface divergence theorem reduces the continuity requirement across the element boundary from to C[1] to C[0]. The performance of the finite element model of surface tension is validated by means of numerical examples for both equilibrium and dynamic cases. The finite element results are compared against both analytical solutions and experimental results.
published_date 2002-12-31T04:21:59Z
_version_ 1851546685817225216
score 11.090071

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