Abstract
This research examines the behaviour of Magnetohydrodynamic (MHD) Williamson boundary layer flow over stretching sheet in double stratification medium. The study begins with a review of existing research to identify gaps in understanding MHD and Williamson fluid dynamics. A step-by-step approach was followed, starting with defining the governing equations and boundary conditions and ending with analysing results from numerical simulations. The Williamson parameter was incorporated into the momentum equation, and similarity transformations were used to convert partial differential equations into ordinary differential equations. These equations were solved using the Runge-Kutta method, with computations and visualizations performed in Maple software. The study demonstrates that incorporating the Williamson parameter into the momentum equation, in conjunction with various parameter combinations, significantly influences the skin friction coefficient, heat transfer rate, and mass transfer rate. The effects of the Williamson parameter, along with the magnetic parameter, porosity parameter, Prandtl number, Schmidt number, and double stratification, are analysed and presented through graphical illustrations, accompanied by a detailed discussion. Based on the result obtained, it is found that the Williamson parameter caused the momentum boundary layer thickness to decrease. Meanwhile the thermal boundary layer thickness and concentration boundary layer increases with the increase of Williamson parameter.
Metadata
Item Type: | Thesis (Degree) |
---|---|
Creators: | Creators Email / ID Num. Jasmin, Nur Atifah Auni 2021471272 |
Contributors: | Contribution Name Email / ID Num. Thesis advisor Mohd Yusof, Zanariah UNSPECIFIED |
Subjects: | Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas |
Divisions: | Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences |
Programme: | Bachelor of Science (Hons.) Mathematical Modelling and Analytics |
Keywords: | Magnetohydrodynamic (MHD), Williamson Fluid Dynamics, Runge-Kutta method |
Date: | 2025 |
URI: | https://ir.uitm.edu.my/id/eprint/117420 |
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