Numerical and Analytical Study of Bladder-Collapse Flow

Understanding and quantifying more of the workings of the human bladder motivates the present industry-supported study. The bladder performance in terms of the urinary velocities produced tends to be dominated by the internal fluid dynamics involved, in the sense that the bladder wall moves in a bod...

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Main Authors: M. Tziannaros, F. T. Smith
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2012/453467
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author M. Tziannaros
F. T. Smith
author_facet M. Tziannaros
F. T. Smith
author_sort M. Tziannaros
collection DOAJ
description Understanding and quantifying more of the workings of the human bladder motivates the present industry-supported study. The bladder performance in terms of the urinary velocities produced tends to be dominated by the internal fluid dynamics involved, in the sense that the bladder wall moves in a body-prescribed way. The enclosed urine flow responds to this wall movement, and there is relatively little feedback on the wall movement. Combined computational work and special-configuration analysis are applied over a range of configurations including computational and analytical results for the circle and sphere as basic cases; models of more realistic bladder shapes; the end stage of the micturition process where the bladder is relatively squashed down near the urethral sphincter and localised peak speeds arise. The combination of approaches above can be extended to allow for interaction between wall shape and flow properties such as internal pressure if necessary.
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spelling doaj-art-b5ee366557d7414497e9d450e43295de2025-02-03T05:45:27ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/453467453467Numerical and Analytical Study of Bladder-Collapse FlowM. Tziannaros0F. T. Smith1Department of Mathematics, UCL, Gower Street, London WC1E6BT, UKDepartment of Mathematics, UCL, Gower Street, London WC1E6BT, UKUnderstanding and quantifying more of the workings of the human bladder motivates the present industry-supported study. The bladder performance in terms of the urinary velocities produced tends to be dominated by the internal fluid dynamics involved, in the sense that the bladder wall moves in a body-prescribed way. The enclosed urine flow responds to this wall movement, and there is relatively little feedback on the wall movement. Combined computational work and special-configuration analysis are applied over a range of configurations including computational and analytical results for the circle and sphere as basic cases; models of more realistic bladder shapes; the end stage of the micturition process where the bladder is relatively squashed down near the urethral sphincter and localised peak speeds arise. The combination of approaches above can be extended to allow for interaction between wall shape and flow properties such as internal pressure if necessary.http://dx.doi.org/10.1155/2012/453467
spellingShingle M. Tziannaros
F. T. Smith
Numerical and Analytical Study of Bladder-Collapse Flow
International Journal of Differential Equations
title Numerical and Analytical Study of Bladder-Collapse Flow
title_full Numerical and Analytical Study of Bladder-Collapse Flow
title_fullStr Numerical and Analytical Study of Bladder-Collapse Flow
title_full_unstemmed Numerical and Analytical Study of Bladder-Collapse Flow
title_short Numerical and Analytical Study of Bladder-Collapse Flow
title_sort numerical and analytical study of bladder collapse flow
url http://dx.doi.org/10.1155/2012/453467
work_keys_str_mv AT mtziannaros numericalandanalyticalstudyofbladdercollapseflow
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