Significance of peripheral layer: the case of mucus flow through a ciliated tube using Rabinowitsch model

Comput Methods Biomech Biomed Engin. 2023 Nov 16:1-12. doi: 10.1080/10255842.2023.2281892. Online ahead of print.

Abstract

Modern medicine has taken energy loss during cilia beating in the human stomach, which under some circumstances causes blood flow to become acidic, very seriously. In current report covering a whole advancement and results for the impact of Rabinowitsch model with cilia-driven flow analysis with the help of ciliary beating in a cylindrical tube. The fluid is incompressible, and layers of fluid do not mix. The fluid flow with heat and mass transfer is firstly modeled in wave and then transformed into fixed frame. Exact solutions for stresses, temperature velocity, and concentration profiles whereas numerical pressure rise is obtained subject to relevant boundary conditions. The behavior of incipient parameters is shown graphically (plotted in MATHEMATICA 13.0) in the results section. The key findings obtained from graphical results show that maximum magnitude for velocity and temperature is achieved in middle layer of fluid whereas in the outer layer concentration profile is maximum. The current study may help researchers to develop new treatments for diseases such as cystic fibrosis, in which impaired ciliary function leads to mucus accumulation in the lungs. The attained exact and numerical outcomes are novel and offered here for first time in literature.

Keywords: Ciliary flow; Heat and mass transfer; Rabinowitsch fluid model; cylindrical tube; two-layer flow.