Fluid-Structure Interaction of Stirrers in Mixing Vessels

Author:

Berger Thomas1,Fischer Michael1,Strohmeier Klaus1

Affiliation:

1. Technical University of Munich, Institute Pressure Vessel and Plant Design, Boltzmannstraße 15, D-85748 Garching, Germany

Abstract

Mixing stirrers are subject to severe damages when the rotational speed approaches the Eigenfrequency. Because of resonant vibrations, the stirrer deflection approaches infinity in the no damping case. Damping due to fluid-structure interaction between the mixing stirrer and the fluid in the vessel has major influence on the Eigenfrequency. Coupled analysis of the flow field within a mixing vessel and the structural dynamic response of the stirrer is necessary in order to evaluate vibrational amplitudes to guarantee life time safety for the stirrer. A simplified numerical model based on Newmark’s integration scheme is developed for the stirrer dynamics that is suitable to be implemented in a CFD code as a user subroutine. Results in terms of Eigenfrequencies are compared to results of analytical formulas and FEM results and show excellent agreement. The fully fluid-structure coupled analysis is also presented. As a new aspect, a rotating grid (sliding mesh) was combined with a deformable grid to simulate the impeller movement. The results are compared to experimental and analytical data and show good agreement.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Reference10 articles.

1. Strohmeier, K., 1996, “Schwingungsschaden an einem Bio-Reaktor (Vibrational Damage to a Bio-Reactor),” Technische U¨berwachung, 37(11/12), pp. 58–60.

2. Strohmeier, K., and Ho¨lzl, R., 1998, “Vibrational Damage to a Bio-Reactor,” Chem. Eng. Technol., 21(4), pp. 365–367.

3. Fischer, M., and Strohmeier, K., 2000, “The Use of Algebraic Computer Systems to Find Analytical Solutions in Continuum Mechanics and Applications to Fluid-Structure Interaction Problems,” Emerging Technologies in Fluids, Structures, and Fluid/Structure Interactions, ASME PVP Vol. 414-2, pp. 65–72.

4. Berger, T., and Strohmeier, K., 2000, “Numerical Eigenfrequency Determination of Stirrers Considering Fluid-Structure-Interaction,” Emerging Technologies in Fluids, Structures and Fluid/Structure Interactions, ASME PVP Vol. 414-2, pp. 55–58.

5. Mooser, A., 2000, “Numerische Simulation von Zweiphasen-stromungen in Ru¨hrbeha¨ltern (Numerical Simulation of Two-Phase Flow in Mixing Vessels),” Diploma thesis, Institute Pressure Vessel and Plant Design, TU Munich.

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