Multiple reflection and transmission theory for wave propagation in the aorta

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Abstract

Wave propagation in liquid filled vessels is often motivated by the need to understand arterial blood flow. Theoretical and experimental investigations of traveling waves in flexible tubes have been performed by many researchers. The analytical one dimensional frequency domain wave theory has a great advantage of providing accurate results without the additional computational cost involved in the modern time domain simulation models. Transition line theory allows including non uniformities of vessels by capturing them as several uniform segments. For assessing the validity of analytical and numerical models well defined in-vitro experiments are of great importance. The objective of this paper is to present a frequency domain transmission line analytical model based on one-dimensional wave propagation theory and validate it against experimental data obtained for aortic analogues. The analytical model is set up by multiple sections and a formulation is derived that incorporates the multiple reflections and transmissions of propagating waves through the interfaces of these sections. The aortic analogues include straight and tapered tubes. The pressure, flow and wall distention results obtained from the analytical model are compared with experimental data in two straight tubes and one tapered one with aortic relevance. The analytical models and the experimental measurements were found to be in good agreement for both the uniform and tapered tubes.
Original languageEnglish
Title of host publicationProceedings 2009 ASME Pressure Vessels and Piping Division Conference (Prague, Czech Republic, July 26-30, 2009)
PublisherAmerican Society of Mechanical Engineers
Pages589-597
ISBN (Print)978-079184367-3
Publication statusPublished - 2010

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    Giannopapa, C. G. (2010). Multiple reflection and transmission theory for wave propagation in the aorta. In Proceedings 2009 ASME Pressure Vessels and Piping Division Conference (Prague, Czech Republic, July 26-30, 2009) (pp. 589-597). American Society of Mechanical Engineers.