Insight into the Dissipative Oscillatory Micropolar Wavy Flow: Exploring the Influence of Vortex and Spin Gradient Viscosity on Couple Stress Coefficients and Heat Transfer

Delving into the intricacies of vortex viscosity and spin gradient viscosity is a cornerstone of fluid dynamics, unveiling profound insights into the behavior of rotating fluids. These fundamental parameters are essential for the precise modeling of vortical structures and rotational flows, providing an invaluable understanding of phenomena such as turbulence, mixing, and the dynamics of rotating systems. This article explores the significant impact of the couple stress coefficient and heat transfer analysis on vortex viscosity, spin gradient viscosity, microinertia density, and viscous dissipation within the magnetohydrodynamic oscillatory flow of micropolar fluid. Specifically, the study focuses on the significance of tapered wavy channels submerged in a porous medium. The present study significantly advances the understanding of micropolar fluid flow, providing essential insights applicable to diverse technological fields, from materials engineering to thermal management systems. The methodology employed entails the utilization of a modified Boussinesq approximation and a time-dependent flow model, accompanied by the non-dimensionalization of governing equations through non-similarity transformations. The numerical solutions, acquired via the implicit Crank-Nicolson finite difference method, unveil intricate details of microrotation, velocity, and temperature profiles, thereby underscoring the profound impact of the studied parameters on fluidic dynamics. At the left boundary of the channel, the microrotation profile diminishes with varying vortex viscosity, while at the right boundary, it exhibits an increase. Conversely, variations in spin gradient viscosity manifest the opposite effect across the channel.