Abstract
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.
Highlights
Viscous flow between two sinusoidally deforming curved concentric tubes is mathematically investigated for the first time
The selection of a curved sinusoidal tube for this mathematical analysis covers the practical applications like endoscopy of flexible curved tubes present in human body and maintenance of complex machineries that involve curved structures etc
It is noted that velocity is declining with the peristaltic endoscope wall but it is increasing with the outer sinusoidal wall of this curved tube for increasing curvature parameter s
Summary
Viscous flow between two sinusoidally deforming curved concentric tubes is mathematically investigated for the first time. This novel peristaltic endoscope is useful for the endoscopy of tubes that have deformable sinusoidal walls. The mathematical analysis of fluid transportation inside a tube due to deforming sinusoidal walls was first time presented by Barton and Raynor[6].
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