Mathematical study of Electroosmotically driven peristaltic flow of Casson fluid inside a tube having systematically contracting and relaxing sinusoidal heated walls

The electro-osmotically driven flow of Casson fluid across a cylindrical geometry with systematically contracting and relaxing sinusoidal walls is mathematically interpreted. The phenomenon of heat transfer also has its worth in the present investigation. The Joule heating and viscous effects are also studied in detail. The mathematically formulated equations that govern the flow of Casson fluid are simplified in their dimensionless form by using lubrication approximation, i.e. (lambda -> infinity). Finally, exact mathematical solutions are flourished for these dimensionless equations. The graphical results are presented to further explain the exact solutions of velocity, temperature, pressure rise, pressure gradient, and streamlines pattern. The major outcomes show that electroosmosis is very helpful in controlling both flow and heat transfer.

Automated summary

This study interprets the mathematically driven electro-osmotic flow of Casson fluid across a cylindrical geometry with contracting and relaxing sinusoidal walls, while also investigating heat transfer phenomena and the effects of Joule heating and viscosity. By using lubrication approximation, the mathematical equations governing the flow of Casson fluid are simplified into dimensionless form, and exact mathematical solutions are obtained. Graphical results demonstrate the helpfulness of electroosmosis in controlling both flow and heat transfer.