Computational modeling of peristaltic blood flow in a tapered channel with radiative heat flux and reaction mechanisms

• Here mathematical modeling is developed for Jeffrey fluid flow. • Peristaltic activity via tapered channel is examined. • Energy equation is modeled subject to radiative heat flux and Biot number. • Chemical reaction is accounted. The article demonstrates how computational methods help scientists study peristaltic blood flow and heat transport within biomedical systems. The present model uses peristaltic wave theory to build its framework while incorporating nonuniform boundary conditions. The channel walls show significant concurrence that matches real-world convective conditions. The established conditions enable researchers to study particle movement behavior which becomes essential for cardiac surgery applications. The mathematical model equations underwent transformation through lubrication techniques produced analytical solutions. The accuracy of present findings becomes evident through direct comparison with previously documented research results in scientific literature. The results match each other to a high degree. The hartmann number increase leads to an enhancement of fluid velocity according to this study. The hartmann number adjustment through external magnetic fields enables practical blood flow management which enhances medical device performance and drug delivery system accuracy. The Prandtl number decreases fluid velocity because viscous forces start to dominate thermal diffusivity. The relationship between these two parameters affects multiple fluid systems including blood flow in human bodies and various physical and biological systems. The heat transfer efficiency between conduction and convection increases when the heat biot number reaches higher values. The improved energy transfer leads to increased fluid velocity. The temperature profile shows significant changes because of thermal radiation effects. Medical biology depends on this parameter to optimize treatments through hyperthermia and study thermoregulation and create diagnostic and therapeutic equipment. The chemical reaction parameter strongly affects the concentration levels of the fluid. The knowledge of this relationship enables scientists to create improved therapeutic methods and enhance drug delivery systems and tissue engineering approaches. The chosen qualities are applicable in medical biology, biomechanics, heat exchangers, gas turbines, and several other fields.