Abstract
This work is focused on calculating the force effects of an incompressible homogeneous liquid on a surface of a rigid or a flexible tube. An unsteady flow induced by differential pressure at the beginning and at the end of the tube is assumed. The pressure difference for the unsteady flow is determined experimentally. The mathematical model is based on modified Navier-Stokes equations. The unsteady term is modified in order to be able to use the Gauss-Ostrogradsky theorem to calculate the force. This method of solution will allow the calculation of the force by integration of the Navier-Stokes equations, which will help to refine and simplify the calculations. In the article, both methods of force calculation will be presented and compared both through the ANSYS FEA and CFD ANSYS Fluent solvers and by the integration of the Navier-Stokes equation. The calculation will not only respect the compliance of the tube but also its movement status.
Highlights
The interaction between a flowing fluid and a structural phase has been extensively studied in the last decade
The new form of Navier-Stokes equation was applied on force determination for two different types of numerical solution
Thanks to its new form, its integration did not have to be done in whole volume and it was done only at boundary conditions of this control volume
Summary
The interaction between a flowing fluid and a structural phase has been extensively studied in the last decade. As a result of this interaction, eigenfrequencies of turbines blades, bridge pillars or pipelines can be impacted by the fluid Outputs of these solutions can be directional deformations, stress analyses, which are connected with force effects evaluations. FSI analysis of blood vessels was solved mostly as a numerical simulation This approach enables the use of different material models, which cannot be used in experiment so . Most represented are models such as Money-Rivlin [1], Fung [3] and Neo-Hookean [3] These constitutive models are used for description of hyperelastic, isotropic, homogeneous and incompressible materials. Another advantage of a numerical solution is the possibility to determine material stress from which force effects can be calculated. A mathematical theory is supported by results of numerical solutions
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
