For all tank configurations the flushing efficiencies

of ‘far open’ and ‘both open’ were similar and higher than that of the ‘near open’ case. For the ‘far open’ and ‘both open’ cases, the flushing efficiency increased linearly mTOR inhibitor with time up until T≃0.6T≃0.6, because the water exiting consisted entirely of water that was initially in the tank. When T≳0.6T≳0.6, the water exiting the tank consisted of an increasing fraction of the water that was being used for flushing the tank. In total, the flushing efficiency at T  =3 of these two cases was lower than the pure displacement, but higher than estimates based on perfect mixing in the whole tank. For the ‘near open’ case, the transition from displacement flushing to mixing occurred earlier at T≃0.5T≃0.5, because the incoming water bypassed a large part of the tank and was not able to exchange the initial water efficiently. Table 2 summarises the flushing efficiency at T  =3 for each case. Generally, the flushing efficiency at T  =3 obtained from the experiments was slightly lower than predicted, except for the ‘near open’ case in the 3×3 tank. In these experiments, the effective Re   decreased in the peripheral compartments leading to lower increase

rates of flushed fraction and higher residence time. Since the total flushing efficiency is an integrated measure over the whole tank, the impact of the peripheral compartments is not significant and this is why the agreement between the theory and the experiments buy PD0332991 is generally good. The discrepancy between the model predictions and the experimental measurements for C¯|T=3 is within 1.1%, lower than the limit of experimental errors ~5%. Therefore,

the model is able to understand how the flushing efficiency depends on the outlet arrangements and tank geometries. In this paper, we have examined theoretically and experimentally the flushing of water from a multi-compartment ballast tank. The model is based on perfect mixing within compartments and advection between Edoxaban compartments. To test the model predictions, a series of detailed experiments on tanks with 2×2 and 3×3 compartment configurations were undertaken. When the lightening holes between compartments are identical, the model has no adjustable free parameters, and the agreement between the measurements of the flushed fraction of water in each compartment and predictions is quite good. When the holes between compartments of a tank are different in size, an empirical closure is required to estimate pressure drop coefficients. The flushing from a tank with more complex geometry, typical of a ballast tank, was also analysed. The agreement between predictions and measurements for the flushing efficiency is good. The increased complexity means that the flow through the edge compartments is reduced and in the laboratory study, probably to the extent that the flow within these regions was not turbulent.