Research on electromagnetic electroosmotic flow of Jeffrey fluid through semicircular microchannel

This work extends the previous research on electroosmotic flow in semicircular microchannels, further investigating the electromagnetic electroosmotic flow of Jeffrey fluid under the combined action of the electric field force and electromagnetic force. The analytic solution of velocity is derived using the variable separation method. The influences of oscillation Reynolds number Re, Hartmann number Ha, electric width K, relaxation time De and retardation time lambda 2 omega on velocity are examined through graphical analysis. The results show that an increase in Reynolds number Re leads to stronger oscillations in the velocity profile at any Hartmann number Ha, and the change in velocity oscillations becomes more pronounced with increasing Hartmann number Ha. Specifically, at lower Hartmann numbers Ha, the velocity increases with an increase in electric width K and relaxation time De, but decreases with an increase in retardation time lambda 2 omega. An interesting finding is that, at higher Hartmann numbers Ha, the velocity of the Jeffrey fluid still decreases under the influence of obstruction in the channel. Furthermore, the results of this study are compared with those of previous scholars to validate their accuracy.