Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation

Appropriate conformal mapping transformation in combination with the linear potential theory is employed to develop mathematical model for two-dimensional sloshing in horizontal circular cylindrical containers with overall eccentric hole. The tube-type tank is filled with inviscid incompressible fl...

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Main Authors: Mohammad Nezami, Mohammad Mehdi Mohammadi, Atta Oveisi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2014/507281
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author Mohammad Nezami
Mohammad Mehdi Mohammadi
Atta Oveisi
author_facet Mohammad Nezami
Mohammad Mehdi Mohammadi
Atta Oveisi
author_sort Mohammad Nezami
collection DOAJ
description Appropriate conformal mapping transformation in combination with the linear potential theory is employed to develop mathematical model for two-dimensional sloshing in horizontal circular cylindrical containers with overall eccentric hole. The tube-type tank is filled with inviscid incompressible fluid up to its half depth and subjected to lateral accelerations. A ramp-step excitation encountered in a road turning maneuver as well as real seismic event is used to simulate the lateral acceleration excitation. The resulting linear sets of ordinary differential equations are truncated and then solved numerically by employing Laplace transform technique followed by Durbin’s numerical inversion pattern. The effects of excitation input time, eccentricity, and radii ratio on the hydrodynamic responses and suppression of the induced destabilizing lateral forces are examined. Limiting cases are considered and good agreements with available analytic and numerical solutions as well as the simulations performed by using a commercial FEM software package are obtained.
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institution Kabale University
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language English
publishDate 2014-01-01
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record_format Article
series Shock and Vibration
spelling doaj-art-6ec2fcd557c848689ce99f5c12fdebc22025-02-03T05:53:41ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/507281507281Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External ExcitationMohammad Nezami0Mohammad Mehdi Mohammadi1Atta Oveisi2Department of Mechanical Engineering, Islamic Azad University, Firoozkooh Branch, Firoozkooh, IranDepartment of Mechanical Engineering, Islamic Azad University, Firoozkooh Branch, Firoozkooh, IranSchool of Mechanical Engineering, Iran University of Science and Technology, Tehran, IranAppropriate conformal mapping transformation in combination with the linear potential theory is employed to develop mathematical model for two-dimensional sloshing in horizontal circular cylindrical containers with overall eccentric hole. The tube-type tank is filled with inviscid incompressible fluid up to its half depth and subjected to lateral accelerations. A ramp-step excitation encountered in a road turning maneuver as well as real seismic event is used to simulate the lateral acceleration excitation. The resulting linear sets of ordinary differential equations are truncated and then solved numerically by employing Laplace transform technique followed by Durbin’s numerical inversion pattern. The effects of excitation input time, eccentricity, and radii ratio on the hydrodynamic responses and suppression of the induced destabilizing lateral forces are examined. Limiting cases are considered and good agreements with available analytic and numerical solutions as well as the simulations performed by using a commercial FEM software package are obtained.http://dx.doi.org/10.1155/2014/507281
spellingShingle Mohammad Nezami
Mohammad Mehdi Mohammadi
Atta Oveisi
Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation
Shock and Vibration
title Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation
title_full Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation
title_fullStr Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation
title_full_unstemmed Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation
title_short Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation
title_sort liquid sloshing in a horizontal circular container with eccentric tube under external excitation
url http://dx.doi.org/10.1155/2014/507281
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AT mohammadmehdimohammadi liquidsloshinginahorizontalcircularcontainerwitheccentrictubeunderexternalexcitation
AT attaoveisi liquidsloshinginahorizontalcircularcontainerwitheccentrictubeunderexternalexcitation