Abstract :
Fluid dynamics has countless applications in the technology and machinery that humans use today for both general and specific purposes. During the process of engineering and development, fluid dynamics is one aspect that is meticulously considered and plays a great role in accomplishing the engineering marvels that we see today. The application of magnetohydrodynamics and porosity cannot be neglected when it comes to fluid dynamics. Magnetohydrodynamics has various applications due to its study of relativistic physics. It is traditionally used to explain the macroscopic force balance which examines the overall equilibrium and dynamics of forces on a larger scale. Similarly, fluid flow in porous media have gained significant attention from researchers due to their significance in various fields.
This thesis primarily focuses on investigating the correlation between the velocity and temperature of Newtonian fluids. The study specifically looks at how magnetohydrodynamics and porosity influence these factors when applied to an infinite vertical plate undergoing oscillation. Both linear and non¬linear convection are considered along with the influence of Joules and viscous dissipation. These elements contribute to the originality and novelty of this research.
The methodology applied in this thesis is based on the mathematical technique of transformation that is dimensional analysis. The transformed equations are solved by finite difference method technique. To model permeability of surface mathematically, Darcy's law of permeability cannot be neglected. Darcy's law explains the speed at which a fluid travels from a permeable substance is studied. Finally, this thesis concludes by presenting the research findings through visual representations in the form of graphical illustrations. These illustrations are generated using forward time centered space scheme, which emphasizes the effect of several flow parameters on the studied phenomena.
Results of this study have clearly demonstrated that Newtonian fluid possesses extensive practical applications due to its inherent properties. The impact of magnetohydrodynamics and porosity on Newtonian fluid has been established, further enhancing its potential usefulness in various fields.
The research and future implications point towards developments in general infrastructural development, production of power, computers, civil engineering, and space exploration.