Mathematical modeling of bio-magnetic fluid bounded within ciliated walls of wavy channel

Peristaltic transport of couple stress fluid with heat transfer is investigated through flexible walls of the channel furnished with hair-like structures. Locomotion of biological fluid is the result of the simultaneous propagation of metachronal waves (MCWs) and peristaltic waves. MCW emerges due to multi-movement of cilia, while the elastic-walls of the channel are responsible for the peristaltic wave. The two-dimensional rheological flow experiences the resistive behavior of applied magnetic fields, besides, the role of viscous dissipation and entropy generation. A closed-form solution is achieved for the nonlinear coupled differential equation, which is vetted through graphs. Finally, the theoretical analysis introduces the manufacture of a ciliate bronchial tube that can efficiently; remove mucus out of the lungs and bloodstream.