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Viscous flow between two sinusoidally deforming curved concentric tubes: advances in endoscopy
L B McCash1, Salman Akhtar2, Sohail Nadeem3
1School of Mathematics and Actuarial Science, Univerisity of Leicester, Leicester, LE1 7RH, UK.
Scientific Reports
|July 24, 2021
Summary
This study mathematically analyzes viscous flow in curved, deforming tubes, introducing a novel peristaltic endoscope for improved medical procedures and machinery maintenance in complex curved structures.
Area of Science:
- Fluid Dynamics
- Biomedical Engineering
- Mechanical Engineering
Background:
- Investigates viscous flow dynamics between two concentrically placed, sinusoidally deforming curved tubes.
- Addresses the lack of mathematical models for fluid behavior in such complex geometries.
Purpose of the Study:
- To mathematically analyze viscous flow between sinusoidally deforming curved concentric tubes.
- To introduce a novel peristaltic endoscope for applications in curved anatomical structures and machinery.
Main Methods:
- Exact mathematical solutions were computed for the viscous flow.
- Graphical outcomes were generated for detailed analysis of the flow behavior.
Main Results:
- The study provides exact solutions for viscous flow in the specified geometry.
- Demonstrates the feasibility and potential benefits of a peristaltic endoscope in curved environments.
Conclusions:
- The mathematical model offers insights into fluid dynamics within curved, deforming conduits.
- The novel peristaltic endoscope presents a promising advancement for comfortable catheterization and maintenance in complex curved systems.
