Electrohydrodynamic pulsatile flow in a channel bounded by porous layer of smart material

Abstract

Electrohydrodynamic dispersion due to pulsatile flow in a channel bounded by porous layer of smart material is studied considering both steady and unsteady cases using both BJ and BJR-slip conditions. We found that in the case of steady flow, the dispersion coefficient,D^∗_s decreases with an increase in electric number W_e but increases with an increase in porous parameter σ _p in the case of BJ-slip condition. However this nature is different in the case of BJR-slip condition in the sense that the dispersion coefficient,D^∗_s increases for certain values of W_e and then decreases with an increase in W_e. In the case of unsteady flow, the dispersion coefficient,D^∗_u , decreases with an increase in W_e and σ _p for both BJ and BJR conditions. In particular, we found that the value of D^∗_s for steady flow in the case of BJ-slip condition is less than that of unsteady flow. The opposite is true for BJR condition. The findings are useful in the design of robust and efficient artificial organs in the human body.