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Fluid Flow inside Deformable Vessels and in the Left Ventricle

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Cardiovascular Fluid Mechanics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 446))

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Abstract

Topics regarding flow inside deformable domains are here considered either for artery and ventricle flows. The theory of finite elasticity is summarised in a perspective of application to fluid-tissue interaction problems. The formulation of a coupled fluid tissue problem is discussed. A linearized technique is then introduced as a model for wall elasticity in artery flow. This simplification transforms the coupled fluid-wall system into a cascade of uncoupled systems on a fixed domain. Computational examples are given in axisymmetric problems, for both finite and infinitesimal deformation cases, to show resonance and stability features of the interactive dynamics. The heart dynamics and the major ventricular diseases are briefly summarised in a mechanical perspective. The formulation of the flow in a model left ventricle is given, and numerical solutions for flow during the left ventricle filling (diastole) is studied and analysed in terms of vorticity dynamics Results are also presented in relation to the physical phenomena observed in the clinical practice. In connection with this the mitral valve modelling is also introduced.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Civile, Università di Trieste, Italy

    Gianni Pedrizzetti

  2. Dipartimento di Ingegneria Civile, Università di Firenze, Italy

    Federico Domenichini

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  1. Gianni Pedrizzetti
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  2. Federico Domenichini
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Editors and Affiliations

  1. Universita’ di Trieste, Italy

    Gianni Pedrizzetti

  2. Graz University of Technology, Austria

    Karl Perktold

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© 2003 Springer-Verlag Wien

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Pedrizzetti, G., Domenichini, F. (2003). Fluid Flow inside Deformable Vessels and in the Left Ventricle. In: Pedrizzetti, G., Perktold, K. (eds) Cardiovascular Fluid Mechanics. International Centre for Mechanical Sciences, vol 446. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2542-7_4

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  • DOI: https://doi.org/10.1007/978-3-7091-2542-7_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-00538-5

  • Online ISBN: 978-3-7091-2542-7

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