Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows

The study of the thin-film flows have developed rapidly in the recent years for various applications, for example, lava flow, in coating process and in electronic devices. This thesis aims to study the travelling-wave similarity solution for unsteady threedimensional flows of thin films of Newtonian...

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Main Author:	Abas, Siti Sabariah
Format:	Thesis
Language:	English
Published:	2016
Subjects:	QA1-939 Mathematics
Online Access:	http://eprints.usm.my/45490/1/SITI%20SABARIAH%20ABAS.pdf
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id	my-usm-ep.45490
record_format	uketd_dc
spelling	my-usm-ep.454902019-09-19T02:01:41Z Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows 2016-12 Abas, Siti Sabariah QA1-939 Mathematics The study of the thin-film flows have developed rapidly in the recent years for various applications, for example, lava flow, in coating process and in electronic devices. This thesis aims to study the travelling-wave similarity solution for unsteady threedimensional flows of thin films of Newtonian and non-Newtonian power-law fluids on an inclined plane. Specifically, flow around slender dry patch and flow of slender rivulet are considered. The flow is driven by gravity or shear stress at the free surface in the case of weak and strong surface-tension effects. The lubrication approximation is applied to the Navier-Stokes equations and continuity equation subject to the boundary conditions of no slip and no penetration, the balances of normal and tangential stress together with the kinematic condition to yield a governing partial differential equation. 2016-12 Thesis http://eprints.usm.my/45490/ http://eprints.usm.my/45490/1/SITI%20SABARIAH%20ABAS.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1-939 Mathematics
spellingShingle	QA1-939 Mathematics Abas, Siti Sabariah Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows
description	The study of the thin-film flows have developed rapidly in the recent years for various applications, for example, lava flow, in coating process and in electronic devices. This thesis aims to study the travelling-wave similarity solution for unsteady threedimensional flows of thin films of Newtonian and non-Newtonian power-law fluids on an inclined plane. Specifically, flow around slender dry patch and flow of slender rivulet are considered. The flow is driven by gravity or shear stress at the free surface in the case of weak and strong surface-tension effects. The lubrication approximation is applied to the Navier-Stokes equations and continuity equation subject to the boundary conditions of no slip and no penetration, the balances of normal and tangential stress together with the kinematic condition to yield a governing partial differential equation.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Abas, Siti Sabariah
author_facet	Abas, Siti Sabariah
author_sort	Abas, Siti Sabariah
title	Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows
title_short	Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows
title_full	Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows
title_fullStr	Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows
title_full_unstemmed	Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows
title_sort	travelling-wave similarity solutions for unsteady thin-film flows
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2016
url	http://eprints.usm.my/45490/1/SITI%20SABARIAH%20ABAS.pdf
_version_	1747821521572724736

Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows

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