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.

Automated summary

Peristaltic transport of couple stress fluid with heat transfer is studied in a channel with flexible walls furnished with hair-like structures. The simultaneous propagation of metachronal waves and peristaltic waves is found to be responsible for the locomotion of biological fluids. The study also highlights the resistive behavior of magnetic fields, viscous dissipation, and entropy generation in the two-dimensional rheological flow. Finally, a closed-form solution for the nonlinear coupled differential equation is achieved, showing the potential for efficiently removing mucus from the lungs and bloodstream through the manufacture of a ciliate bronchial tube.