### Interaction between a Viscous Fluid and a Central Solid Cylindrical Core Confined in Cylindrical Shell

#### Abstract

The transient motion of a cylindrical vessel, interacting with a viscous fluid and central solid cylindrical core. is simulated using the Finite Element Method. The transient coupled dynamics problem is solved with the aid of the Newmark average acceleration procedure for the shell and in the

case of fluid element, Euler's Backward Difference scheme was utilised. For the theoretical investigation, calculations are performed to determine the displacement, velocity and acceleration of points along the outer cylinder wall, which is closed at the bottom and open at the top, following the initial force, which is a linear function of the distance from the base. A monotonically decaying harmonic response typical of a damped system is observed and, from this, estimates of the natural frequencies of the coupled system are made.

case of fluid element, Euler's Backward Difference scheme was utilised. For the theoretical investigation, calculations are performed to determine the displacement, velocity and acceleration of points along the outer cylinder wall, which is closed at the bottom and open at the top, following the initial force, which is a linear function of the distance from the base. A monotonically decaying harmonic response typical of a damped system is observed and, from this, estimates of the natural frequencies of the coupled system are made.

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Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**Asociación Argentina de Mecánica Computacional**Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**ISSN 2591-3522**