https://doi.org/10.1140/epjp/s13360-024-05214-y
Regular Article
Insight into the dissipative oscillatory micropolar wavy flow: exploring the influence of vortex and spin gradient viscosity on couple stress coefficients and heat transfer
1
Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, 603203, Kattankulathur, Tamil Nadu, India
2
National Water and Energy Center, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates
3
Physical Sciences, Engineering, and Technology Working Group, Nigerian Young Academy, Lagos, Nigeria
4
Department of Mathematics, College of Science, King Khalid University, 61413, Abha, Saudi Arabia
5
Department of Mathematical Sciences, Federal University of Technology Akure, PMB 704, Nigeria
Received:
12
February
2024
Accepted:
25
April
2024
Published online:
28
May
2024
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.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
