Impact of sinusoidal magnetic field on complex wave propagation in biomimetic peristaltic pumping of thixotropic and Newtonian fluids in an asymmetric channel

Abstract

This study presents a novel investigation into the peristaltic flow of shear-thinning thixotropic fluid within an asymmetric channel under a time-dependent sinusoidal magnetic field and buoyancy force, addressing a distinct research gap. The study incorporates the effects of chemical reactions and double diffusion within a porous medium while analyzing the heat transfer rate in a complex wavy channel. The momentum equations are modified to include sinusoidal magnetic forces, and the governing equations are simplified using the assumptions of a long wavelength and a very small Reynolds number. The intricate wave pattern at the channel walls is considered and the mathematical model is non-dimensionalized and solved by using the Homotopy Perturbation approach. Computational findings reveal that velocity decreases near the channel as the Hartmann number increases, whereas the Darcy number has the opposite effect. Temperature rises with increasing Dufour number and chemical reaction parameters, while concentration increases on the left side of the channel and decreases on the right as the Soret number grows. The velocity gradient is steeper for non-Newtonian fluids compared to Newtonian fluids, and higher Dufour numbers enhance the connection between mass and heat transfer. The sinusoidal magnetic field significantly influences non-Newtonian fluids, leading to enhanced velocity, temperature, and concentration profiles. Notably, the non-sinusoidal magnetic field exhibits advantages over its sinusoidal counterpart, generating 23 % more robust drag impact on fluid flow and a 113 % rise in temperature, indicating improved thermal energy transfer. This innovative mathematical model explores the unique behavior of thixotropic fluid under chemical processes and complex wave propagation, focusing on structural fluid parameters. The findings have potential applications in medical mechanisms, such as tailored drug delivery, and may aid in regulating pumping systems under sinusoidal magnetic forces.