Simulation of Fluid-Structure Interaction of Flow through a Compliant Vessel

Jaganathan, Divya

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Overview

Year:: 2018
Contributor:: Jaganathan, Divya (creator); Franck, Jennifer (Advisor); Coulombe, Kareen (Advisor); Brown University. Engineering: Fluids and Thermal Sciences (sponsor)
Genre:: theses
Subject:: Conformal mapping; Fluid-structure interaction--Mathematical models; physiological flow
Extent:: 10, 25 p.
DOI: https://doi.org/10.26300/40h5-a240

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Abstract:: A computational model for a two-dimensional flow within an elastic vessel is presented to investigate the flow bias characteristics rendered by curvature and compliance of a biological vessel. We observe through simulations that the degree of curvature at a sinus region in a rigid-walled vessel can alter the direction of flow. With this observation, it is hypothesized that a similar effect on the flow bias can be caused if the wall compliantly responds to the stresses developed by fluid flowing through it. Thus, a computational model under simplified assumptions has been developed in MATLAB to simulate such coupled fluid-structure interaction. The computational domain for the fluid is constructed with a conformal meshing algorithm to maintain a structured, orthogonal mesh. The compliance of the wall is modeled by a one-dimensional thin-walled string equation. The differential equations governing the Newtonian model of fluid flow are numerically solved with a high-order finite difference scheme. The governing fluid equations are then coupled with the differential equations for wall motion. With further improvements, this model can be used to explore the effects of symmetric and asymmetric geometries of the curved vessel on the blood flow characteristics, maintenance of flow bias, and wall shear stress distribution, the latter of which is an important factor in pathological biomechanical processes. This model with further improvements can be used to investigate the localized wall mechanics in a human vessel under a diseased condition such as stenosis and also inform vascular graft design for appropriate fluid-material interactions.
Notes:: Thesis (Sc. M.)--Brown University, 2018

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Rights: In Copyright
Restrictions on Use: Collection is open for research.

Citation

Jaganathan, Divya, "Simulation of Fluid-Structure Interaction of Flow through a Compliant Vessel" (2018). Fluid, Thermal, and Chemical Processes Theses and Dissertations. Brown Digital Repository. Brown University Library. https://doi.org/10.26300/40h5-a240

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Fluid, Thermal, and Chemical Processes Theses and Dissertations

Theses and Dissertations for the Fluid, Thermal, and Chemical Processes department.
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