Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows

Simple item page
dc.contributor.authorAbas, Siti Sabariah
dc.date.accessioned2019-08-07T07:08:04Z
dc.date.available2019-08-07T07:08:04Z
dc.date.issued2016-12
dc.description.abstractThe 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. A similarity transformation, namely a travelling-wave similarity solution is used to reduce the governing partial differential equation into the ordinary differential equation. The differential equation is then solved numerically using a shooting method via Mathematica 9:0 software. This study has provided the significant contribution in the investigation of the unsteady thin-film flow of Newtonian and non-Newtonian powerlaw fluids, particularly for the flow around the slender dry patch and the flow of slender rivulet on an inclined plane.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/8595
dc.language.isoenen_US
dc.publisherUniversiti Sains Malaysiaen_US
dc.subjectTravelling-wave similarity solutionsen_US
dc.subjectunsteady thin-film flowsen_US
dc.titleTravelling-Wave Similarity Solutions For Unsteady Thin-Film Flowsen_US
dc.typeThesisen_US
Files
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Pusat Pengajian Sains Matematik - Tesis