Abstract

The simulation of liquid flow in significantly deformed elastic material is one of the more challenging tasks. Tube wall motion prediction implemented directly into CFD software can noticeably reduce the computational and time demands of such problems. The FSI simulation of a liquid-flowed flexible plastic tube was analyzed on the FEA and CFD solvers coupling basis. The flexible tube is the basic symmetric test body that could be appropriately tested on the experimental stand. A comparison of experimental data and FSI problem using commercial code and one-dimensional tube models was made by evaluating the tube wall deformation magnitudes at defined flow ratios. The type of tube material, which can be understood as a nonlinear from the stress and deformation point of view, was considered. The paper shows several possibilities of tube modeling using the main constitutive relations of linear and nonlinear mechanics. The hyperelastic material models such as neo-Hookean and Mooney-Rivlin were tested. The results represent differences in impacts on the tube liquid flow and differences in the magnitudes of the wall tube deformations. Based on these findings it should be possible to simulate the problems of liquid flow in more complicated shape flow zones, such as arteries affected by various defects, in our future research.

Highlights

  • In the following work, the case of fluid flow in the flexible tube will be analyzed

  • Flow simulations in the flexible tube using different constitutive laws have achieved a relatively accurate conformity with the experimental data regarding the magnitude of the tube deformations

  • The discrepancies remain in assessing the conformity of the magnitudes of the volume flow rates and static pressures in the tube

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Summary

Introduction

The main tools for assessing this task were CFD simulation of fluid flow and structural simulation of elastic wall deformation (FSI), onedimensional mathematical models of flexible pipeline and experimental data. Permanent or destructive deformation of the aortic, has a significant impact on human health and life For this reason, it is advantageous to study the abovementioned models. It is possible to try to simplify FSI's role by, for example, the prescribed movement of a flexible wall in simple CFD simulations, or to use simpler mathematical models. Another unfavorable fact is the nonlinear behavior of the tube wall material with respect to stress dependence and wall deformation. The following study should be supplemented by at least a brief overview of basic nonlinear materials

FEA and CFD methods and description of the tube
One-dimensional tube model
Equation of motion and continuity equation
Basic stress equations and constitutive laws
Neo-Hookean solid
Mooney-Rivlin solid
C12 C1 C2
FSI analysis
Conclusions
Full Text
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