An Exploration of the Influence of MHD, Porosity, and Wall Transpiration on Jeffrey, Fluid Flow

This work explores the complex dynamics of Jeffrey fluid flow, with a focus on the effects of wall transpiration, porosity, and magnetohydrodynamics (MHD). The goal of the study is to offer a thorough grasp of how these variables affect the flow properties of Jeffrey fluid. Additionally, the effects of porosity and MHD on fluid velocity are examined. Finding the analytical solution for the incompressible transient flow of MHD (magneto hydrodynamic) Jeffrey fluid above an accelerating porous plate is the main goal of this research work. The plate is infinite in the x-direction and produces an oscillating motion when the fluid flows over it at. Porous plates are utilized to allow both injection and suction phenomena to occur. Using the right choice of nondimensional variables makes the model's governing equation dimensionless. These nondimensional differential equations of the Jeffrey fluid are solved with the aid of perturbation techniques and Laplace transformation. Studies are conducted on how various characteristics affect velocity. Oscillating frequency (ω), ratio of relaxation to retardation time (λ1), Jeffrey fluid parameter (β), wall transpiration parameter (γ), time (t), porosity parameter (k), and magnetic parameter (Ha) are some of these characteristics. The results have ramifications for different technical and industrial situations where Jeffrey fluids are encountered and add to the corpus of knowledge on non-Newtonian fluid dynamics.