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

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collectionurl https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072
date 2017-09-07 14:55:46
eventvenue Primula Beach Hotel Kuala Terengganu, Terengganu
format Restricted Document
id 6874
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originalfilename 1520-01-FH03-FIK-17-09951.jpg
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spelling 6874 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=6874 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Conference Conference Paper image/jpeg inches 96 96 norman 1419 763 83 83 2017-09-07 14:55:46 1419x763 1520-01-FH03-FIK-17-09951.jpg UniSZA Private Access 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-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. 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, Primula Beach Hotel Kuala Terengganu, Terengganu
spellingShingle Travelling-wave similarity solution for gravity-driven rivulet of a Newtonian fluid with strong surface-tension effect
summary 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.
title 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_short 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