Electro-osmotic flow of biological fluid in divergent channel: drug therapy in compressed capillaries

The multi-phase flow of non-Newtonian through a divergent channel is studied in this article. Jeffrey fluid is considered as the base liquid and tiny gold particles for the two-phase suspension. Application of external electric field parallel to complicated capillary with net surface charge density causes the bulk motion of the bi-phase fluid. In addition to, electro-osmotic flow with heat transfer, the simultaneous effects of viscous dissipation and nonlinear thermal radiation have also been incorporated. Finally, cumbersome mathematical manipulation yields a closed-form solution to the nonlinear differential equations. Parametric study reveals that more thermal energy is contributed in response to Brinkman number which significantly assists gold particles to more heat attain high temperature, as the remedy for compressed or swollen capillaries/arteries.

Automated summary

This article investigates the multi-phase flow of non-Newtonian fluids through a divergent channel, considering the effects of an external electric field, electro-osmotic flow, heat transfer, viscous dissipation, and nonlinear thermal radiation. A closed-form solution to the nonlinear differential equations is obtained through complex mathematical manipulation, revealing that additional thermal energy significantly assists gold particles in reaching high temperatures.