Abstract: A mathematical model of turbulent fluid flow over a porous aerofoil wing design within a magnetic field is considered. The fluid flow was modelled using Navier stokes equations of conservation of momentum, energy and mass in cylindrical coordinates. The governing equations were then non-dimentionalized and gave rise to the non-dimensional parameters. Computational fluid dynamics (CFD) techniques was used to simulate the flow of air over a porous wing within a range of magnetic field strengths. Examinations of the effects of the magnetic field on key performance metrics such as lift, drag, and efficiency, as well as the overall flow structure of the wing was performed and found valuable insights into the use of porous aerofoil wings in the design of aircraft operating in high-magnetic field environments, such as those found in space or near the Earth's poles. Additionally, the outcomes of the research had wider implications for other domains investigating the impact of magnetic fields on fluid motion, such as in the design of magnetic resonance imaging systems or in the study of planetary motions. Aerofoil wings are an essential component of aircraft design, as they provide lift and enable flight. However, the flow of air over the wing is often turbulent, which can lead to decreased efficiency and performance. Porous aerofoil wings was proposed as a means of reducing turbulence, and the effects of such wings on fluid flow within a magnetic field have been thoroughly investigated. In this research, numerical investigation of the effects of a magnetic field on turbulent fluid flow over a porous aerofoil wing design was done. It is evident from the results that the primary velocities increase when the magnetic parameter was reduced. It was also found that the lift force increases when the Grashof number and Prandtl number decreases.

Keywords: Turbulent, Porous medium, Aerofoil, Prandtl number, Magneto hydrodynamics.

| DOI: 10.17148/IARJSET.2024.111201