Analysis of peristalsis blood flow mechanism using non-newtonian fluid and variable liquid characteristics

This study simulates the peristalsis mechanism using non-Newtonian third-grade fluid and considers variable fluid characteristics along with electroosmosis, slip, and chemical reactions. The governing equations are designed to account for low Reynolds numbers and long wavelengths. Considering the diverse variables involved, the study delves into the effects of liquid property variations on velocity, temperature, concentration, and trapping. The graphical depiction of velocity and temperature profiles serves to elucidate the consequences of diverse fluid characteristics, demonstrating a significant reduction in these parameters. •Peristaltic transport of Jeffery fluid in a non-uniform vertical channel is studied, considering hall current, joule heating, and magnetic field effects. Investigated for applications in biomedical engineering, business, and technology, the research yields significant findings:•Higher Jeffery fluid parameter boosts flow velocity via Lorenz force, impacting cancer treatment.•Increased Hall current parameter reduces effective conductivity on velocity.•Rising heat absorption parameter elevates temperature profile due to joule heating's volumetric nature.•Joule heating parameter amplifies velocity and temperature profiles.•Temperature varies inversely in tight and diverging channels, affecting non-uniformity.•Elevated magnetic effect parameter lowers skin-friction coefficient, Nusselt number, and Sherwood number.•Magnetic field increases trapped bolus volume, offering potential bolus regulation method.