Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session D18: Medical Devices
2:30 PM–4:40 PM,
Sunday, November 18, 2018
Georgia World Congress Center
Room: B305
Chair: Jeremy Marston, Texas Tech University
Abstract ID: BAPS.2018.DFD.D18.1
Abstract: D18.00001 : The fluid mechanics of ureteroscope irrigation*
2:30 PM–2:43 PM
Presenter:
Jessica G Williams
(University of Oxford)
Authors:
Jessica G Williams
(University of Oxford)
Sarah L Waters
(University of Oxford)
Derek E Moulton
(University of Oxford)
Ben W Turney
(University of Oxford)
Flexible ureteroscopy is a minimally invasive treatment for kidney stone removal. The ureteroscope has a central lumen (working channel) for auxiliary instruments (working tools). Successful ureteroscopy requires a good intrarenal view, achieved by irrigation, i.e., driving a saline solution through the working channel via an applied pressure drop. Working tools within the working channel reduce the irrigation flow rate, thus posing a clinical challenge.
We derive a mathematical model, based on systematic reductions of the Navier Stokes equations. We represent the channel and tool as coaxial, non-concentric cylinders of uniform cross-sections. The axial and cross-sectional flow equations decouple and the cross-sectional flow is governed by the 2D Stokes equations.
Geometrical changes to the annular fluid domain affect the relationship between axial flow rate and applied pressure. The position of a working tool is predicted by determining its transverse trajectory subject to an initial perpendicular motion. Results identify an optimal geometry to maximise flow rate for a given pressure drop.
*This publication is based on work supported by the EPSRC Centre For Doctoral Training in Industrially Focused Mathematical Modelling (EP/L015803/1) in collaboration with Boston Scientific.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.D18.1
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