NDLI: Analytical modeling of liquid sloshing in a two-dimensional rectangular tank with a slat screen

Content Provider	Springer Nature Link
Author	Faltinsen, O. M. Firoozkoohi, R. Timokha, A. N.
Copyright Year	2010
Abstract	Potential-flow theory is employed with linear free-surface conditions, multimodal method, and a screen-averaged pressure-drop condition to derive an analytical modal model describing the two-dimensional resonant liquid motions in a rectangular tank with a vertical slat-type screen in the tank middle. The tank is horizontally excited in a frequency range covering the two lowest natural sloshing frequencies. The model consists of a system of linear ordinary differential [modal] equations responsible for liquid sloshing in compartments, as well as a nonlinear ordinary differential equation describing the liquid flow between the compartments. New experimental model tests on steady-state wave elevations near the tank wall are reported for the solidity ratios 0.328 ≤ Sn ≤ 0.963 where Sn is the ratio between the solid area and the full area of the screen. The experiments generally support the applicability of the model. The discrepancy can be explained by the free-surface nonlinearity. The screen acts as a damping mechanism for low and intermediate solidity ratios, but it causes an increase in the lowest resonant sloshing frequency at higher solidity ratios as if the screen had been replaced by an unperforated wall.
Starting Page	93
Ending Page	109
Page Count	17
File Format	PDF
ISSN	00220833
Journal	Journal of Engineering Mathematics
Volume Number	70
Issue Number	1-3
e-ISSN	15732703
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-08-04
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Multimodal method Perforated screen Sloshing Analysis Applications of Mathematics Mechanics Numeric Computing Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Sloshing of an ideal fluid in a horizontally forced rectangular tank

Flow efficiency of perforated systems – a combined analytical and numerical treatment

The effect of viscosity on the transient free-surface waves in a two-dimensional tank

The Draining of a two-dimensional bubble

Transient evolution of weakly nonlinear sloshing waves: an analytical and numerical comparison

Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves

Computing Flow on General Two-Dimensional Nonsmooth Staggered Grids

Experimental and numerical analyses of sloshing flows

Mixing measures for a two-dimensional chaotic Stokes flow

Analytical modeling of liquid sloshing in a two-dimensional rectangular tank with a slat screen

Similar Documents

Sloshing of an ideal fluid in a horizontally forced rectangular tank

Flow efficiency of perforated systems – a combined analytical and numerical treatment

The effect of viscosity on the transient free-surface waves in a two-dimensional tank

The Draining of a two-dimensional bubble

Transient evolution of weakly nonlinear sloshing waves: an analytical and numerical comparison

Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves

Computing Flow on General Two-Dimensional Nonsmooth Staggered Grids

Experimental and numerical analyses of sloshing flows

Mixing measures for a two-dimensional chaotic Stokes flow

Analytical modeling of liquid sloshing in a two-dimensional rectangular tank with a slat screen