<p>This research study focuses on understanding non-Newtonian fluid dynamics during peristaltic motion, specifically with tangent hyperbolic fluids, which demonstrate shear-thinning characteristics. These fluids are prevalent in various biological contexts, such as blood and mucus, where their viscosity is subject to fluctuations in shear rate. The study utilized a rotating wave frame to investigate the impact of shear-thinning behavior, thermal radiation, and ohmic heating on a two-dimensional, incompressible, steady-state sliding boundary layer. The analytical solution to governing equations emerges when we utilize the long wavelength approximation and disregard wave number. The flow occurs in a Reynolds number limited range, so inertial terms disappear from the equations. The modeling process uses these assumptions to generate mathematically manageable analytical solutions. Research indicates that an increased weissenberg number enhances fluid velocity, but raised slip parameter and darcy number reduce it, suggesting significant consequences for industrial and biological applications. Furthermore, studies demonstrate that magnetic field direction negatively influences flow velocity by increasing drag forces. At the same time, thermal radiation and dufour effects elevate fluid temperature, and the power-law index and Weissenberg numbers influence the concentration. This paper examines a critical gap in understanding the influence of rotational effects on the flow dynamics of tangent hyperbolic fluids, offering insights into complex interactions in peristaltic transport across many situations. The findings are essential for the progression of advanced fluid transport systems in biomedical engineering, chemical processing, and energy generation, improving the design and management of non-Newtonian fluid dynamics.</p>