Proposing an Analytical Model and Investigating Mode Shape of Sloshing in Cubic Tanks

Sloshing is one of the interesting field of study for many researchers. This physical phenomenon occurs in fuel tanks having free surface fluid. Researchers can have a look on it from theoretical and engineering point of view. Free surface in tanks may cause instability of the vessel. In this paper، analytical discussion for this occurrence has been presented، and principle mode shapes of sloshing of fluids in cubic tanks are illustrated. Governing equations are potential fluid، and the effects of surface tension have been neglected comparing with the wavelength inducing from sloshing. All these assumptions are logical ones، consisting with reality. Knowing principle mode shapes، one is able to derive other mode shapes by using a linear combination. This paper presents figures in order to make this phenomenon more sensible foe the user.