Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin

Studying thin-film flow provides several significant advantages in both scientific and practical contexts. Understanding the behaviour of thin-films under various conditions is crucial for optimising a wide range of industrial processes. This research investigates the thin-film flow of rivulets for...

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Main Author:	Muhammad Badrollddin, Aina Sharina
Format:	Thesis
Language:	English
Published:	2024
Subjects:	Surface effects and tests
Online Access:	https://ir.uitm.edu.my/id/eprint/105922/1/105922.pdf
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id	my-uitm-ir.105922
record_format	uketd_dc
spelling	my-uitm-ir.1059222024-11-30T23:08:56Z Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin 2024 Muhammad Badrollddin, Aina Sharina Surface effects and tests Studying thin-film flow provides several significant advantages in both scientific and practical contexts. Understanding the behaviour of thin-films under various conditions is crucial for optimising a wide range of industrial processes. This research investigates the thin-film flow of rivulets for both Newtonian and non-Newtonian power-law fluids on an inclined plane, emphasising the role of shear stress at the free surface in driving the flow under strong surface tension effects. The study investigates the dynamics of rivulets under different parameters of fluid viscosity, power-law indices, and shear stress through a combination of theoretical modelling and numerical simulations. The lubrication approximation is used to solve the continuity equation and the Navier- Stokes equations. A fourth-order governing partial differential equation is obtained by applying these equations to the kinematic condition, the no-slip and no-penetration boundary conditions, and the balances of normal and tangential stress. The similarity transformation method is then used to reduce the governing equation to an ordinary differential equation. The governing fourth-order ODE was solved numerically using the Runge-Kutta-Fehlberg Fourth Fifth (RKF45) in Maple. 2024 Thesis https://ir.uitm.edu.my/id/eprint/105922/ https://ir.uitm.edu.my/id/eprint/105922/1/105922.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Redwan, Nurul Ainina
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Redwan, Nurul Ainina
topic	Surface effects and tests
spellingShingle	Surface effects and tests Muhammad Badrollddin, Aina Sharina Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin
description	Studying thin-film flow provides several significant advantages in both scientific and practical contexts. Understanding the behaviour of thin-films under various conditions is crucial for optimising a wide range of industrial processes. This research investigates the thin-film flow of rivulets for both Newtonian and non-Newtonian power-law fluids on an inclined plane, emphasising the role of shear stress at the free surface in driving the flow under strong surface tension effects. The study investigates the dynamics of rivulets under different parameters of fluid viscosity, power-law indices, and shear stress through a combination of theoretical modelling and numerical simulations. The lubrication approximation is used to solve the continuity equation and the Navier- Stokes equations. A fourth-order governing partial differential equation is obtained by applying these equations to the kinematic condition, the no-slip and no-penetration boundary conditions, and the balances of normal and tangential stress. The similarity transformation method is then used to reduce the governing equation to an ordinary differential equation. The governing fourth-order ODE was solved numerically using the Runge-Kutta-Fehlberg Fourth Fifth (RKF45) in Maple.
format	Thesis
qualification_level	Bachelor degree
author	Muhammad Badrollddin, Aina Sharina
author_facet	Muhammad Badrollddin, Aina Sharina
author_sort	Muhammad Badrollddin, Aina Sharina
title	Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin
title_short	Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin
title_full	Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin
title_fullStr	Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin
title_full_unstemmed	Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin
title_sort	unsteady shear-stress-driven rivulets flow of newtonian and non-newtonian power-law fluids with strong surface-tension effect / aina sharina muhammad badrollddin
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2024
url	https://ir.uitm.edu.my/id/eprint/105922/1/105922.pdf
_version_	1818588161388838912

Unsteady shear-stress-driven rivulets flow of Newtonian and non-Newtonian power-law fluids with strong surface-tension effect / Aina Sharina Muhammad Badrollddin

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