Viscoplastic flow in an extrusion damper

TL;DR

This paper investigates viscoplastic flow in an extrusion damper through numerical simulations, revealing how viscoplasticity, geometry, and oscillation frequency influence damper force and energy dissipation.

Contribution

It provides new insights into the effects of viscoplasticity, slip, and geometry on damper response using finite volume simulations of Bingham-type fluids.

Findings

Viscoplasticity reduces damper force sensitivity to shaft velocity.

Bulge increases force via pressure difference, especially with smaller gaps.

Energy dissipation increases with slip coefficient and yield stress.

Abstract

Numerical simulations of the flow in an extrusion damper are performed using a finite volume method. The damper is assumed to consist of a shaft, with or without a spherical bulge, oscillating axially in a containing cylinder filled with a viscoplastic material of Bingham type. The response of the damper to a forced sinusoidal displacement is studied. In the bulgeless case the configuration is the annular analogue of the well-known lid-driven cavity problem, but with a sinusoidal rather than constant lid velocity. Navier slip is applied to the shaft surface in order to bound the reaction force to finite values. Starting from a base case, several problem parameters are varied in turn in order to study the effects of viscoplasticity, slip, damper geometry and oscillation frequency to the damper response. The results show that, compared to Newtonian flow, viscoplasticity causes the damper force to be less sensitive to the shaft velocity; this is often a desirable damper property. The bulge increases the required force on the damper mainly by generating a pressure difference across itself; the latter is larger the smaller the gap between the bulge and the casing is. At high yield stresses or slip coefficients the amount of energy dissipation that occurs due to sliding friction at the shaft-fluid interface is seen to increase significantly. At low frequencies the flow is in quasi steady state, dominated by viscoplastic forces, while at higher frequencies the fluid kinetic energy storage and release also come into the energy balance, introducing hysteresis effects.