The present study discusses a mathematical modeling of electro-hydrodynamic distribution in a pulsatile flow of Carreau fluid in a circular conduit taking chemical reaction and externally applied electric field. The axial solute distribution process in a circular tube has been analyzed using the generalized dispersion technique and finite Hankel transforms. The momentum and constitutive equations are solved by perturbation method with suitable boundary condition and obtained fluid velocity profile. Analytical solutions of the solute dispersion and convection coefficients of the concentration profile have been obtained with the help of the assumptions of low zeta potential and a low Reynolds number. The effects of the Debye–Hückel parameter, Weissenberg number, Pulsatile Reynolds number, chemical reaction parameter, and time-dependent pressure gradient on the dispersion environment have been studied. The development in fluid velocity and solute concentration profiles are studied graphically for accurate ranges of the distinct physical parameters. The most important outcome of the present investigation is an increment in the Debye–Hückel parameter enhancing the dispersion mechanism in the circular tube. Furthermore, this study highlights the clinical aspect of the electrohydrodynamic solute dispersion’s nature in normal as well as disease-affected blood. The present study might contribute to the design and fabrication of surgical tools and development of laboratory equipment in the fields of medical and bioengineering. Furthermore, the results obtained could play a key role in understanding the transportation of nutrients and dispersion process of drugs in the blood circulation.