High Reynolds Number Flow in a Collapsible Channel

Duration: 26 mins 45 secs
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Description: Fluid Dynamics – Recorded 16/04/09 4:30-5:00pm, MR15
Speaker: Draga Pihler
 
Created: 2009-06-11 16:01
Collection: Beyond Part III - Young Researchers in Mathematics 2009
Publisher: University of Cambridge
Copyright: A.C. Cullum Hanshaw
Language: eng (English)
Distribution: World     (downloadable)
Keywords: lecture; fluid; dynamics;
Credits:
Director:  A Cullum-Hanshaw
Explicit content: No
Aspect Ratio: 4:3
Screencast: No
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Trailer: not set
 
Abstract: Collapsible tubes have a large variety of physiological applications: blood flow in the cardiovascular system, urine in the urethra and air in the airways are some examples. These tubes not only contain fluids, but are likely to deform under large external pressure. Some collapse naturally, for example veins above heart due to the hydrostatic pressure, while other deform under the influence of 'artificial' external pressure like arm arteries during blood pressure measurements. From a dynamical point of view this introduces a strong coupling between the flow-induced internal pressure changes and the wall deformation. In the talk we will address mathematical approaches to the solutions of many problems that arise in these systems, progress that has been made so far, as well as the open questions that are yet to be understood.
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