Abstract
A nonlinear simulation is carried out for the motion of the inviscid, incompressible fluid in a two-dimensional tank of barge for extraction of lithium from seawater that is subjected to forced oscillations. According to a conceptual design of the barge, seawater flows into the tank from suction valves on the inner bottom of the barge, then passes through the piled granulated absorbent and it is discharged out of the tank by drain pumps on the side hull of the barge. In order to solve the problem associated with the inhomogeneous domain of seawater and granulated absorbent, the basic boundary element method (BEM) is extended. From the numerical results obtained by the present method, the effect of forced oscillations on the fluid motion in the tank has been shown. The validity of the present method is confirmed by comparing with other publications for the special case of the problem. One is the sloshing of a two-dimensional tank which was studied by Nakayama et al. and the other is the fluid motions passing through the granulated absorbent with the steady flow from the bottom which was studied by Nobukawa et al.. It is confirmed that the calculated results agree well with others.
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