# Influence of viscosity

For the first simulations, the liquid phase is water but then we tested a liquid phase which comes up to a retardant substance. We take as hypothesis that the viscosity of a retardant is  between the water viscosity and a thousand times the water viscosity. So we run four simulations for the four following cases with the same acceleration (a=1m/s²):

Water level on the left wall function of time for the four viscosities

For the four cases, we can see the oscillations obtained with Fluent and the theoretical envelope :  $y=A.e^{\frac{t}{T}}$

• $\mu = 1000 \mu_{water}$

• $\mu = 750 \mu_{water}$

• $\mu = 250 \mu_{water}$

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• $\mu = \mu_{water}$

The results fit the theoretical dissipation time for the four viscosities

Waves dissipation for the four viscosities (exponential envelopes)

The more retardant there is, the shorter is the dissipation time  and the briefer the sloshing is.