Heat transfer and electro-osmotic analysis on peristaltic pumping of a fractional second-grade fluid through a cylindrical tube

Abstract

Most of the earlier studies intended on the peristaltic pumping of non-Newtonian fluids via channels/tubes to better know the flow activities of flowing systems. The extant effort is modeled to examine the peristaltic motion of the viscoelastic fluid through a cylindrical tube to characterize the rheological features of blood in the vascular system by incorporating the electro-osmotic phenomenon. Caputo’s definition provides analytical solutions to the dilemma. To evaluate the potential function, the Debye–Huckel linearization approximation is utilized. The long-wavelength [Formula: see text] and low Reynolds number approximations [Formula: see text] are used to simplify the simultaneous equations. The effects of physical constraints depicting the flow phenomena are obtained and conferred via graphs. The impact of several regulatory elements is deliberated and exposed in a succession of figures. The significant outcome of the result is that the pressure gradient is consistently enhanced as the external electric field strength increases. It is also observed that the growing applied electric field strength can control the negative value of the pressure gradient. This work is relevant to the electrophoresis in hematology, electrohydrodynamic therapy, and biometric electro-osmotic pumps. The present results provide a significant baseline for experiment analyses and more general models of microvascular blood flow.