Abstract
In this research, an analytical model is developed to estimate the hydrodynamic damping ratio of liquid sloshing for wall bounded baffles using the velocity potential formulation and linear wave theory. Here, an analytical solution approach and experimental investigations are conducted for describing the hydrodynamic damping which is provided by vertical and horizontal baffles in partially filled rectangular liquid tanks. In order to evaluate the accuracy of the analytical solution which is developed in present work, a series of experiments are carried out with a rectangular liquid tank excited by harmonic oscillation. The parametric study is conducted on the damping efficiencies of both vertical and horizontal baffles with various dimensions and locations. According to the results of the present investigations, the hydrodynamic damping is significantly affected by the size and location of baffles. Furthermore, the validity of the developed analytical approach as well as the effectiveness of various baffle configurations are discussed. Finally, a simple approach is proposed for estimating the damping ratios of the baffles during earthquake motions.
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References
Abramson HN, Ransleben GE (1961) Some studies of a floating lid type device for suppuration of liquid sloshing in rigid cylindrical tanks, Technical Report. 10, SW RI
ACI 350.3 (2001) Seismic design of liquid containing concrete structures, An American Concrete Institute Standard
Akyildiz H, Unal E (2004) Experimental studies on liquid sloshing. Technical Report, Department of Ocean Engineering and Hydraulics Division, Istanbul Technical University
Akyildiz H, Unal E (2006) Sloshing in a three-dimensional rectangular tank: Numerical simulation and experimental validation. Ocean Eng 33: 2135–2149
American Petroleum Institute API (1998) Welded storage tanks for oil storage API 650. American Petroleum Institute Standard. Washington
Bauer HF (1966) Liquid behavior in the reservoir of the sound suppressor system, NASA-TN-D-3165
Bermudez A, Rodriguez R, Santamarina D (2003) Finite element computation of sloshing modes in containers with elastic baffles plates. Int J Numer Methods Eng 56(3): 447–467
Biswal KC, Bhattacharyya SK, Sinha PK (2002) Coupled dynamic response of liquid filled composite cylindrical tanks with baffles. In: 5th Symposium on FSI, AE & FIV+N, ASME, November: 17–22
Biswal KC, Bhattacharyya SK, Sinha PK (2003a) Dynamic characteristics of liquid filled rectangular tank. J Inst Eng (India) 84:145–148
Biswal KC, Bhattacharyya SK, Sinha PK (2003b) Free vibration analysis of liquid filled tank with baffles. J Sound Vib 259(1): 177–192
Biswal KC, Bhattacharyya SK, Sinha PK (2004) Dynamic response analysis of a liquid filled cylindrical tank with annular baffle. J Sound Vib 274(1–2): 13–37
Biswal KC, Bhattacharyya SK, Sinha PK (2006) Non-linear sloshing in partially liquid filled containers with baffles. Int J Numer Methods Eng 68: 317–337
Chiba M. (1995) Free vibration of a partially liquid-filled and partially submerged in a liquid. J Acoust Soc Am 97(4): 2238–2248
Cho JR, Lee HW, Ha SY (2005) Finite element analysis of resonant sloshing response in 2-D baffled tank. J Sound Vib 288: 829–845
Cho JR, Lee HW, Kim KW (2002) Free vibration analysis of baffled liquid-storage tanks by the structural-acoustic finite element formulation. J Sound Vib 258(5): 847–866
Choun YS (1996) Sloshing characteristics in rectangular tanks with a submerged block. J Comput Struct 61(3): 401–413
Choun YS, Yun CB (1999) Sloshing analysis of rectangular tanks with a submerged structure by using small-amplitude water wave theory. J Earthq Eng Struct Dyn 28: 763–783
Dodge FT (1971) Study of flexible baffles for slosh suppression. NASA CR-1880.
Eulitz WR (1961) Analysis and control of liquid propellant sloshing during missile flight, NASA- MSFC, MTP-P, and VE-P-61, December
Eurocode 8 (1998) Design provisions for earthquake resistance of structures, Part 1- general rules and Part 4—silos, tanks and pipelines. European committee for Standardization, Brussels
Evans DV, McIver P (1987) Resonant frequencies in a container with vertical baffle. J Fluid Mech 175: 295–307
Gedikli A, Erguven ME (1999) Seismic analysis of a liquid storage tank with a baffle. J Sound Vib 223(1): 141–155
Ibrahim IM (1999) Antislosh damper design for improving the roll dynamic behavior of cylindrical tank trucks. SAE Trans 108: 535–541
Isaacson M, Premasiri S (2001) Hydrodynamic damping due to baffles in a rectangular tank. Can J Civ Eng 28: 608–616
Keulegan GH (1958) Energy dissipation in standing waves in rectangular basins. J Fluid Mech 6: 33–50
Keulegan GH, Carpenter LH (1958) Forces on cylinders and plates in an oscillating fluid. J Res Natl Bureau Stand 60: 423–440
Kim HS, Lee YS (2008) Optimization design technique for reduction of sloshing by evolutionary methods. J Mech Sci Tech 22: 25–33
Lee SY, Cho JR (2003) Dynamic analysis of baffled fuel storage tanks using the ALE finite element method. Int J Numer Methods Fluids 41: 185–208
Martel C, Nicolas JA, Vega JM (1998) Surface-wave damping in a brimful circular cylinder. J Fluid Mech 360: 213–228
Miles JW (1958) Ring damping of free surface oscillations in a circular tank. J Appl Mech 25: 274–276
Mitra S, Sinhamahapatra KP (2007) Slosh dynamics of liquid-filled containers with submerged components using pressure-based finite element method. J Sound Vib 304: 361–381
NZS 4203:1992 Code of practice for general structural design and design loading for buildings, New Zealand
Sames PC, Marcouly D, Schellin ET (2002) Sloshing in rectangular and cylindrical tanks. J Ship Res 46(3): 186–200
Sarpkaya T, O’Keefe JL (1996) Oscillating flow about two and three-dimensional bilge keels. J Offshore Mech Arct Eng 118: 1–6
Scarci G (1971) Natural frequencies of viscose liquids in rectangular tanks. Meccanica 6(4): 223–234
Schwind RG, Scotti RS, Skogh J (1967) Analysis of flexible baffles for damping tank sloshing. J Spacecr Rocket 4(1): 47–53
Stephens DG (1966) Flexible baffles for slosh damping. J Spacecr Rocket 3(5): 765–766
Stephens DG, Leonard HW, Perry TW (1962) Investigation of the damping of liquids in ring circular-cylindrical tanks, TN D-1367, Report of NASA
Su TC (1981) The effect of viscosity on free oscillation of fluid-filled spherical shells. J Sound Vib 74(2): 205–220
Uras RA (1995) Sloshing analysis of viscous liquid storage tanks. In: Fluid sloshing fluid struct interaction, ASME, PVP Conference 314: 63–72
Watson EB, Evans DV (1991) Resonant frequencies of a fluid in containers with internal bodies. J Eng Math 25: 115–135
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Goudarzi, M.A., Sabbagh-Yazdi, S.R. & Marx, W. Investigation of sloshing damping in baffled rectangular tanks subjected to the dynamic excitation. Bull Earthquake Eng 8, 1055–1072 (2010). https://doi.org/10.1007/s10518-009-9168-8
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DOI: https://doi.org/10.1007/s10518-009-9168-8