Temporal evolution of an optically dense fluid adjacent to an oscillated vertical plate with slip condition

This paper explores the time-evolving behaviour of an optically dense fluid in proximity to a vertically oscillating plate with a slip condition. By utilizing the Laplace transform (LT) method, the non-dimensional governing equations are resolved. The study delves into the influence of various parameters on the velocity and temperature distributions and the shear stress and heat transfer rate, presenting these effects through detailed graphical visualizations and thorough analysis. The dynamics of the fluid flow are extensively discussed, particularly contrasting the behaviours in scenarios involving an oscillated plate (OP) and a stationary plate (SP). It is observed that the fluid velocity is consistently higher in the presence of an oscillated plate. The shear stress on the plate upsurges with more intense cooling or heating, while an upswing in the slip parameter tends to reduce the shear stress. Furthermore, the heat transfer rate across the plate is raised with an amplified radiation parameter. The insights from this study have significant implications for various engineering fields, including aerospace and environmental engineering, with practical applications in the design and optimization of heat exchangers, cooling systems, chemical reactors, and in understanding ocean currents near dynamically changing coastal structures.