ABSTRACT
The study of peristaltic propulsion of cilia wave and heat transfer has many medical and biological applications such as heat transmission in microfluidic channels, human esophagus, and biological transport processes, especially those found in physiological science, medical science, and nuclear reactors, which exhibit ciliary-induced peristalsis. Additionally, for some bio/industrial fluids, the bi-viscous Pan-Thien-Tanner model is optimal. The study is very significant since it shows that the small intestine’s chyme can be used as a PTT fluid. Therefore, the influence of viscous dissipation, and thermal radiation on a peristaltic conveyance of PTT fluid in a uniform tube with ciliated walls is considered. The tube with ciliated boundary walls was used to model the flow and the slip condition was used for temperature. To simplify the system, we used the lubrication approach. The system of non-dimensional partial differential equations (PDEs) with pertinent boundary conditions has been solved with Mathematica software. The expression for the longitudinal velocity, temperature, pressure gradient, and pressure rise has been determined using an analytical technique. The essential physical appearance of peristaltic motion is explained graphically for several values of substantial parameters of the PTT fluid.
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