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Two phase modal analysis of nonlinear sloshing in a rectangular container

Ansari, M. R ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1016/j.oceaneng.2011.04.004
  3. Publisher: 2011
  4. Abstract:
  5. Sloshing, or liquid free surface oscillation, in containers has many important applications in a variety of engineering fields. The modal method can be used to solve linear sloshing problems and is the most efficient reduced order method that has been used during the previous decade. In the present article, the modal method is used to solve a nonlinear sloshing problem. The method is based on a potential flow solution that implements a two-phase analysis on sloshing in a rectangular container. According to this method, the solution to the mass conservation equation, with a nonpenetration condition at the tank walls, results in velocity potential expansion; this is similar to the mode shapes used in modal method. The kinematic and dynamic boundary conditions create a set of two-space-dimensional differential equations with respect to time. The numerical solution of this set of differential equations, in the time domain, predicts the time response of interfacial oscillations. Modal method solutions for the time response of container sloshing due to lateral harmonic oscillations show a good agreement with experimental and numerical results reported in the literature
  6. Keywords:
  7. Interface ; Modal method ; Nonlinear fluid sloshing ; Dynamic boundary conditions ; Engineering fields ; Harmonic oscillation ; Liquid free surfaces ; Mass conservation equations ; Mode shapes ; Nonlinear fluids ; Nonlinear sloshing ; Numerical results ; Numerical solution ; Rectangular containers ; Reduced-order methods ; Tank walls ; Time domain ; Time response ; Two phase ; Two phase container ; Velocity potentials ; Boundary conditions ; Containers ; Differentiation (calculus) ; Modal analysis ; Numerical methods ; Phase interfaces ; Time domain analysis ; Liquid sloshing ; Computational fluid dynamics ; Experimental study ; Fluid mechanics ; Harmonic analysis ; Nonlinearity ; Numerical model ; Oscillation ; Two phase flow
  8. Source: Ocean Engineering ; Volume 38, Issue 11-12 , August , 2011 , Pages 1277-1282 ; 00298018 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0029801811000746