Thin film over thin porous layer influenced by lens permeability / Nur Fauzana Mahadhir

• Main Author: Mahadhir, Nur Fauzana
• Format: Thesis
• Language: English
• Published: 2024
• Subjects: Difference equations. Functional equations. Delay differential equations. Integral equations
• Online Access: https://ir.uitm.edu.my/id/eprint/106187/1/106187.pdf; https://ir.uitm.edu.my/id/eprint/106187/

A thin film is a continuous layer of material that is applied to or interacts with porous substrates. Porous layers act as porous membranes to allow certain substances to pass through affecting the behaviour of thin films on top of them. A thin film is applied over thin porous layers to examine the effects of lens permeability. The thesis examines one aspect of thin film flow which is the tear film with and without contact lenses. This derivation is based on standard lubrication theory modified to take into account the presence of a thin porous layer beneath the tear film. Study the derivation evolution equations for Le-Bars Worster slip models at fluid-porous interfaces. This study attempts to understand the transformation of Partial Differential Equations (PDEs) to perform evolution equation of boundary condition for Le-Bars Worster. Variation of Darcy number and slip length on tear film is used in this case. Additionally, the purpose of this study is to solve the transformed PDEs equations using the Finite Difference method with ode45. The results of this study reveal the effects of various parameters on Darcy's number, lens permeability, slip length, capillary number, gravity parameter, porosity, contact angle and times. The results show the comparison with and without porous layers with various parameters to observe the difference in the results. Furthermore, this study can contribute to understanding relevant physical phenomena and offer potential applications in engineering and science.