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Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 18 > No. 05

 
   

The Exact Endoscopic Effect and Non-Uniform Geometry on the Peristaltic Flow

PP: 1029-1035
doi:10.18576/amis/180510
Author(s)
F. N. M. Al-Showaikh,
Abstract
In this paper, we delve into the complex interplay of fluid mechanics, endoscopy, and non-uniform geometries within a physiological setting. We analyze the impact of an inserted endoscope on the flow of a Newtonian fluid through a non-uniform tube, employing zero Reynolds number and infinitely long wavelength approximations. Utilizing cylindrical coordinates, we formulate the problem and investigate the interplay between pressure rise, friction forces on the endoscope and outer tube, and flow rate variations. Our findings reveal that both pressure rise and friction forces acting on the endoscope and small intestine exhibit a direct correlation with increasing amplitude ratio and radius ratio, particularly at minimum and maximum flow rates. Notably, these forces become independent of both parameters at specific flow rate values. Furthermore, we explore the influence of the endoscope and amplitude ratio on peristaltic and augmented pumping mechanisms across various physical parameters. Comparisons with existing studies are drawn to enrich the understanding of this intricate phenomenon.

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