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Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect

Rivulet flows occur in a wide range of practical situations ranging from industrial situation such as coating processes to geophysical situation such as lava flow, and extensive efforts have been made to investigate it. In this study, a lubrication approximation is used to investigate the gravity-dr...

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Main Authors: Siti Sabariah, Abas, Yatim, Y.M
Format: Conference or Workshop Item
Language:English
Published: 2017
Subjects:
Q Science (General)
Online Access:http://eprints.unisza.edu.my/1520/1/FH03-FIK-17-09951.jpg
http://eprints.unisza.edu.my/1520/
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spelling my-unisza-ir.15202020-11-17T06:45:29Z http://eprints.unisza.edu.my/1520/ Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect Siti Sabariah, Abas Yatim, Y.M Q Science (General) Rivulet flows occur in a wide range of practical situations ranging from industrial situation such as coating processes to geophysical situation such as lava flow, and extensive efforts have been made to investigate it. In this study, a lubrication approximation is used to investigate the gravity-driven draining of unsteady, slender, symmetric rivulet of Newtonian fluid down an inclined plane, with strong surface-tension effect. A travelling-wave similarity solution is obtained representing a quartic transverse profile rivulet and that it has a uniform thickness at any position x and time t which widen or narrow according to (x − ct)1/4, where c is a velocity of a rivulet and thicken or thin according to a free parameter F0. 2017 Conference or Workshop Item NonPeerReviewed image en http://eprints.unisza.edu.my/1520/1/FH03-FIK-17-09951.jpg Siti Sabariah, Abas and Yatim, Y.M (2017) Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect. In: 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation,, 27-29 September 2016, Primula Beach Hotel Kuala Terengganu, Terengganu.
institution Universiti Sultan Zainal Abidin
building UNISZA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sultan Zainal Abidin
content_source UNISZA Institutional Repository
url_provider https://eprints.unisza.edu.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Siti Sabariah, Abas
Yatim, Y.M
Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect
description Rivulet flows occur in a wide range of practical situations ranging from industrial situation such as coating processes to geophysical situation such as lava flow, and extensive efforts have been made to investigate it. In this study, a lubrication approximation is used to investigate the gravity-driven draining of unsteady, slender, symmetric rivulet of Newtonian fluid down an inclined plane, with strong surface-tension effect. A travelling-wave similarity solution is obtained representing a quartic transverse profile rivulet and that it has a uniform thickness at any position x and time t which widen or narrow according to (x − ct)1/4, where c is a velocity of a rivulet and thicken or thin according to a free parameter F0.
format Conference or Workshop Item
author Siti Sabariah, Abas
Yatim, Y.M
author_facet Siti Sabariah, Abas
Yatim, Y.M
author_sort Siti Sabariah, Abas
title Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect
title_short Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect
title_full Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect
title_fullStr Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect
title_full_unstemmed Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect
title_sort travelling-wave similarity solution for gravity-driven rivulet of a newtonian fluid with strong surface-tension effect
publishDate 2017
url http://eprints.unisza.edu.my/1520/1/FH03-FIK-17-09951.jpg
http://eprints.unisza.edu.my/1520/
_version_ 1684657712014557184
score 13.211869

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