The paper investigates the blood flow analysis through a non-uniform inclined channel by treating blood as a non-Newtonian Phan-Thien-Tanner (PTT) liquid. The impact of the chemical reaction and convective boundary conditions are studied in the current formulation. The interaction referring to such constraints report supporting behavior to simulates the particles motion in surgical systems. The fluid movement is regulated through complictatd systems for which solution is enables via perturbation procedure. The influences of diverse emerging parameters over several physiological quantities are scrutinized explicitly. It is also detected that geometric parameters like amplitudes, non-uniform parameters, and inclination angles play a vital role in operating liquid transport phenomena. The obtained results reveal that controlling of velocity due to magnetic constants is observed while thermal determination of particles showing an enhancing trend. Hence magnetic field is used in blood flow analysis such as a catheter, drug delivery, etc. The objective of applicable pertialtic model provdes assistant in hemodialysis.