Viscous flow between two sinusoidally deforming curved concentric tubes: advances in endoscopy


McCash L.B. Akhtar S. Nadeem S. Saleem S. Issakhov A.
December 2021Nature Research

Scientific Reports
2021#11Issue 1

Viscous flow between two sinusoidally deforming curved concentric tubes is mathematically investigated for the first time. Exact solutions are computed to analyse the flow between these two tubes and graphical outcomes are included for a thorough analysis of the solutions. The present article has prime applications in endoscopy as a novel peristaltic endoscope is introduced first time for a curved sinusoidal tube. This curved nature of outer sinusoidal tube with a flexible peristaltic endoscope placed inside it covers the topic of practical applications like endoscopy of human organs having curved shapes and the maintenance of complex machineries that involve complex curve structures. The usage of a flexible peristaltic endoscope inside a curved sinusoidal tube makes the process of catheterization more comfortable.



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School of Mathematics and Actuarial Science, Univerisity of Leicester, Leicester, LE1 7RH, United Kingdom
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, 15320, Pakistan
Department of Mathematics, College of Science King Khalid University, P. O. Box 9004, Abha, 61413, Saudi Arabia
Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, av. al-Farabi 71, Almaty, Kazakhstan

School of Mathematics and Actuarial Science
Department of Mathematics
Department of Mathematics
Faculty of Mechanics and Mathematics

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