Asymptotic Analysis of Sloshing in a Rectangular Tank | Zendy

Saravanan Gurusamy | Zendy; S. A. Sannasiraj | Zendy; V. Sundar | Zendy

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Asymptotic Analysis of Sloshing in a Rectangular Tank

Author(s) -

Saravanan Gurusamy,

S. A. Sannasiraj,

V. Sundar

Publication year - 2014

Publication title -

the international journal of ocean and climate systems

Language(s) - English

Resource type - Journals

eISSN - 1759-314X

pISSN - 1759-3131

DOI - 10.1260/1759-3131.5.2.89

Subject(s) - slosh dynamics , potential flow , mechanics , mathieu function , boundary value problem , physics , potential theory , classical mechanics , harmonic , parametric statistics , mathematical analysis , equations of motion , mathematics , acoustics , statistics

An Asymptotic solution of liquid sloshing motion in a rectangular tank is presented based on the potential flow theory. A rectangular tank is excited harmonically, in the sway and heave modes. The Stokes perturbation theory is used to resolve the boundary value problem. The perturbed problem reduces to the non-homogeneous Mathieu's equation in the case of coupled harmonic excitations, which induces the sloshing motion subjected to parametric rolling of the tank. Lindstedt-Poincare’ method is used to determine the stable solution of the Mathieu's equation

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