Investigation of submerged structures’ flexibility on sloshing frequency using a boundary element method and finite element analysis

ABSTRACT In this study, the boundary element method–finite element method (BEM-FEM) model is employed to investigate the sloshing and flexibility terms of elastic submerged structures on the behavior of a coupled domain. The methods are finite element and boundary elements which are utilized for structural dynamic and sloshing modeling, respectively. The applied models are used to assess dynamic parameters of a fluid-structure system. Based on the proposed model, a code is developed which can be applied to an arbitrary two- and three- dimensional tank with an arbitrarily shaped elastic submerged structure. Results are validated based on the existing methods represented in the literature and it is concluded that the absolute relative deviation is lower than 2%. Finally, the interactive influences of submerged components which are more meaningful are investigated.

[1]  Chung Bang Yun,et al.  Sloshing analysis of rectangular tanks with a submerged structure by using small-amplitude water wave theory , 1999 .

[2]  Kimio Saito,et al.  Multiple Domain Boundary Element Method Applied to Fluid Motions in a Tank with Internal Structure , 2000 .

[3]  Eric R. Christensen,et al.  LAUNCH VEHICLE SLOSH AND HYDROELASTIC LOADS ANALYSIS USING THE BOUNDARY ELEMENT METHOD , 1997 .

[4]  Ivan P. Gavrilyuk,et al.  Natural sloshing frequencies in rigid truncated conical tanks , 2008 .

[5]  Yung-Hsiang Chen,et al.  Sloshing behaviours of rectangular and cylindrical liquid tanks subjected to harmonic and seismic excitations , 2007 .

[6]  M. K. Laha,et al.  Analysis of the small amplitude sloshing of a liquid in a rigid container of arbitrary shape using a low-order boundary element method , 2000 .

[7]  H. Norman Abramson,et al.  The Dynamic Behavior of Liquids in Moving Containers. NASA SP-106 , 1966 .

[8]  K. C. Biswal,et al.  Dynamic response analysis of a liquid-filled cylindrical tank with annular baffle , 2004 .

[9]  Odd M. Faltinsen,et al.  Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depth , 2002, Journal of Fluid Mechanics.

[10]  K. C. Biswal,et al.  Dynamic response of structure coupled with liquid sloshing in a laminated composite cylindrical tank with baffle , 2010 .

[11]  Ivan P. Gavrilyuk,et al.  Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves , 2007 .

[12]  M. A. Noorian,et al.  A reduced order model for liquid sloshing in tanks with flexible baffles using boundary element method , 2012 .

[13]  Abdullah Gedikli,et al.  SEISMIC ANALYSIS OF A LIQUID STORAGE TANK WITH A BAFFLE , 1999 .

[14]  Kyuichiro Washizu,et al.  The boundary element method applied to the analysis of two‐dimensional nonlinear sloshing problems , 1981 .

[15]  R. D. Firouz-Abadi,et al.  Reduced order modeling of liquid sloshing in 3D tanks using boundary element method , 2009 .

[16]  A. Lakis,et al.  Three-dimensional modeling of curved structures containing and/or submerged in fluid , 2008 .

[17]  D. V. Evans,et al.  Resonant frequencies in a container with a vertical baffle , 1987, Journal of Fluid Mechanics.

[18]  Songtao Xue,et al.  A boundary element method and spectral analysis model for small‐amplitude viscous fluid sloshing in couple with structural vibrations , 2000 .

[19]  Chung Bang Yun,et al.  Sloshing characteristics in rectangular tanks with a submerged block , 1996 .

[20]  E. Askari,et al.  Coupled vibrations of cantilever cylindrical shells partially submerged in fluids with continuous, simply connected and non-convex domain , 2010 .

[21]  Santanu Mitra,et al.  Slosh dynamics of liquid-filled containers with submerged components using pressure-based finite element method , 2007 .

[22]  Odd M. Faltinsen,et al.  Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth , 2000, Journal of Fluid Mechanics.

[23]  R. Ohayon Reduced models for fluid–structure interaction problems , 2004 .

[24]  R. Ibrahim Liquid Sloshing Dynamics: Theory and Applications , 2005 .

[25]  Michele La Rocca,et al.  ON THE ANALYSIS OF SLOSHING OF WATER IN RECTANGULAR CONTAINERS: NUMERICAL STUDY AND EXPERIMENTAL VALIDATION , 1996 .

[26]  Michael Isaacson,et al.  HYDRODYNAMIC DAMPING DUE TO BAFFLES IN A RECTANGULAR TANK , 2001 .

[27]  K. Chau,et al.  Experimental and numerical analysis of a nanofluidic thermosyphon heat exchanger , 2018, Engineering Applications of Computational Fluid Mechanics.

[28]  Lawrence N. Virgin,et al.  An implicit boundary element solution with consistent linearization for free surface flows and non‐linear fluid–structure interaction of floating bodies , 2001 .

[29]  W. Yan,et al.  Numerical simulation of PV cooling by using single turn pulsating heat pipe , 2018, International Journal of Heat and Mass Transfer.

[30]  Seyyed M. Hasheminejad,et al.  LIQUID SLOSHING IN HALF-FULL HORIZONTAL ELLIPTICAL TANKS , 2009 .

[31]  K. Velusamy,et al.  CFD simulations on the dynamics of liquid sloshing and its control in a storage tank for spent fuel applications , 2016 .

[32]  H. Koh,et al.  Dynamic Response of Rectangular Flexible Fluid Containers , 1996 .

[33]  S. C. Lee,et al.  Numerical simulation of liquid sloshing in three-dimensional tanks , 1992 .

[34]  H. Bauer,et al.  Hydroelastic vibrations in a two-dimensional rectangular container filled with frictionless liquid and a partly elastically covered free surface , 2004 .

[35]  Yeping Xiong,et al.  A numerical investigation of natural characteristics of a partially filled tank using a substrutcure method , 2006 .

[36]  S. Rebouillat,et al.  Fluid–structure interaction in partially filled liquid containers: A comparative review of numerical approaches , 2010 .

[37]  K. Chau,et al.  Numerical simulation of nanofluid flow inside a root canal , 2019 .

[38]  Marco Amabili,et al.  Coupled vibrations of a partially fluid-filled cylindrical container with an internal body including the effect of free surface waves , 2011 .

[39]  Ivan P. Gavrilyuk,et al.  Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions , 2006 .

[40]  M. A. Noorian,et al.  A 3D BEM model for liquid sloshing in baffled tanks , 2008 .

[41]  Nimish M. Awalgaonkar,et al.  CFD Analysis of a Kerosene Fuel Tank to Reduce Liquid Sloshing , 2014 .

[42]  D. V. Evans,et al.  Resonant frequencies of a fluid in containers with internal bodies , 1991 .