Hall device-controlled ciliated flow of viscoplastic material due to the non-uniform complex ciliated pump subject to inclined magnetic force

Abstract

In the last two decades, the applications of peristaltic and ciliated pumps in diverse domains of engineering and medicine are increasing because of their efficiency and easy operation with fewer errors in performing a task than the other biological pumps. The current study describes a mathematical formulation of the ciliated flow of viscoplastic material through an infinite length under the impact of heat transfer. The rheological impact of viscoplastic material is inspected using the robust Casson model. The motion is also controlled by the two external simulated powers: one is an inclined magnetic field and the other is the Hall device. The governing equations are simplified using the two biological approximations: one is the creeping phenomena and the other is the long wavelength. Analytical solutions of the flow equations are obtained by the integration method. The impact of rheological and thermo-physical parameters is physically incorporated. The Cilia-length parameter and the Brinkman number are vibrant in the enhancement of the heat phenomena and the heat transfer rate at the upper wall (HTRUW). Applications of the current formulation include the chemical industry, magnetic material processing, and the medical domain under the creeping phenomenon.