The effect of internal pipes on the fundamental frequency of liquid sloshing in a circular tank

The article describes a theoretical investigation into the shift in fundame ntal frequency which arises when an array of pipes is placed in a circular tank. A tank of constant section is specified to enable the problem to be r educed to two dimensions. The associated velocity potential then satisfies the Helmholtz equation. A boundary element method is used to investigate th e case of a tank with an arbitrary array of pipes and is verified by the an alytical solutions for circular and annular tanks. Results are presented fo r several cases involving arrays of internal pipes and compared with predic tions obtained using an approximate method. (C) 1999 Elsevier Science Ltd. All rights reserved.