added mass -VIV

 

Added mass

Table of Contents

• 1. added mass–m_a
  • 1.1. Basic
  • 1.2. definition
  • 1.3. added mass vs reduced velocity
  • 1.4. time series of added mass
  • 1.5. Digest
    • 1.5.1. 2017 qinbi
    • 1.5.2. 2004 Williamson, Annu. Rev. Fluid Mech.
    • 1.5.3. 2000 Vikestad, JFS
    • 1.5.4. added mass in relative frame reference – Konstantinidis 2013
  • 1.6. FAQ
    • 1.6.1. I is constant in {Konstantinidis 2013 Procedings of the royal society}
  • 1.7. ref-analysis 2019
  • 1.8. ref
  • 1.9. ref- JFM

1 added mass–m_a

 

1.1 Basic

IN viskestad's paper, harmonic(linear) is assumed

summary:

no agreement is reached on the definition of m_a

C_A

potential added mass coefficient

force decomposition paradox

• lighthill and Sarpkaya have different options on the force decomposition

Lighthill force decomposition: F_total = F_potential + F_vortex

Lighthill, 1986	Sarpkaya, 2001
force decomposition	force decomposition is impossible

added mass definition is different in stil water and viv.

quantities

still water

VIV

definition

ma=mf

eq.4.9(bin, qin)

• m_f : fluid displacement mass

Vikestad (2000, JFS) experimental work showed that f_nc = f_osc i.e. (the natural frequency with added mass) is nearly equal to cylinder response frequency.

1.2 definition

1. definition in still water – imcompressible, inviscid

m_a = m_f, fluid displace mass¹

Derivation: Kinetic energy | decomposing force, GE of vibration |

For small amplitude and inviscid still fluid, C_a=1, i.e. potential added mass

1. definition in VIV

(eq.9 FSI, michiael, cambridge)

eq.4-10a in (qin, bin{D})

Derivation:

decompose the fluid force into two part, and move them to the left of eq.

• added mass is a part of the hydrodynamic force in phase with acceleration.

Physical meaning:

• added mass represents the hydrodynamic force in phase with acceleration.
• added damping represents the hydrodynamic force in phase with velocity.
• not a concentrated mass, it is distributed throughout the fluid set in motion by the body.

impact

• the added mass has significant effect on the VIV of cylindrical structures

when density of the sturcture is comparable with the fluid density.

who is the first author proposes this concept?

influening parameters

• theoritical, Force of fluid on cylinder

why are we interested in added mass?

effects of added mass on VIV?

• change f_osc ( Williamson & Govardhan 2004, JFM)

1.3 added mass vs reduced velocity

-Ma vs Ur

f_tn = f_osc (f_n based on added mass)

is nearly equal to f_osc (mean oscillation frequency)

（qin,2017,JFM)

 (li, Exp., 2013, Journal of Shanghai Jiaotong University )

1.4 time series of added mass

1.5 Digest

 

1.5.1 2017 qinbi

added mass vs time (fig 23)

• negative m_a at initial state, then its value increased and still negative at stable state

1.5.2 2004 Williamson, Annu. Rev. Fluid Mech.

P425

1.5.3 2000 Vikestad, JFS

mean added mass coeff (c_a) vs Ur

standard deviation of ca vs Ur

10.1006/j#s.2000.0308

1.5.4 added mass in relative frame reference – Konstantinidis 2013

Procedings of the royal society

https://www.researchgate.net/profile/Efstathios_Konstantinidis/

contribution:

• derived a added mass for a circular cylinder in an

inviscid potential flow at relative frame of reference.

• Eq 4.4, new term, G(t;α)
• difference compared to fixed frame of reference

inertia force = added masss * added-mass acceleration

debate:

a virtual experiment reveals that the classical method to this problem leads to a paradox.

section 2 reals that some fundamental aspects of the added mass notation may have been ignored in the classical formulation

Results in other's research:

• added mass can be properly defined in both ideal inviscid and real

viscous flows, but exact evalutions can be made only in the former case

1. inviscid flow added-mass effects are inherent in viscous flows,
2. the correct way to evaluate added masses is

in a relative frame of reference moving with the body in a fluid otherwise at rest far from the body.

increase quadratically for α < 0.5

http://dx.doi.org/10.1098/rspa.2013.0135

1.6 FAQ

 

1.6.1 I is constant in {Konstantinidis 2013 Procedings of the royal society}

I noticed an author derived a new definition of added mass in a relative frame of reference moving the cylinder (ekonstantinidis 2013). I encountered a problem from Eq2 to Eq3, as follows: Why the volume integral term, I In Eq.2 (ekonstantinidis 2013, from, Brennen 1982), is assumed constant in terms of time ?

answer: (alam) The term I is added volume, assumed constant for a given acceleration.

added mass in relative frame reference – Konstantinidis 2013 Procedings of the royal society

I would be a simple invariant r. This is indeed the case with some fluid flow
solutions such as potential flow, and low Repolds number
. However this assumption is not valid for large Re flow.

1.7 ref-analysis 2019

FN Clarivate Analytics Web of Science

Added-mass effect in the design of partitioned algorithms for fluid-structure problems Causin, P Gerbeau, JF Nobile, F

DI 10.1016/j.cma.2004.12.005

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PT J AU Ohl, CD Tijink, A Prosperetti, A TI The added mass of an expanding bubble SO JOURNAL OF FLUID MECHANICS VL 482 BP 271 EP 290 DI 10.1017/S0022112003004117 PD MAY 10 2003 PY 2003 RI Prosperetti, Andrea/A-6263-2008 OI Prosperetti, Andrea/0000-0003-4129-7130 ZR 1 TC 38 ZS 0 ZB 2 Z8 0 Z9 39 SN 0022-1120 UT WOS:000183514200012 ER

PT J AU Han, RPS Xu, HZ TI A simple and accurate added mass model for hydrodynamic fluid-structure interaction analysis SO JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS VL 333B IS 6 BP 929 EP 945 DI 10.1016/0016-0032(96)00043-9 PD NOV 1996 PY 1996 ZR 0 ZB 0 TC 35 Z8 4 ZS 0 Z9 39 SN 0016-0032 UT WOS:A1996VU47600007 ER

PT J AU Buratti, N. Tavano, M. TI Dynamic buckling and seismic fragility of anchored steel tanks by the added mass method SO EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS VL 43 IS 1 BP 1 EP 21 DI 10.1002/eqe.2326 PD JAN 2014 PY 2014 Z8 3 ZR 0 TC 35 ZS 0 ZB 0 Z9 38 SN 0098-8847 EI 1096-9845 UT WOS:000327823900001 ER

PT J AU De La Torre, O. Escaler, X. Egusquiza, E. Farhat, M. TI Experimental investigation of added mass effects on a hydrofoil under cavitation conditions SO JOURNAL OF FLUIDS AND STRUCTURES VL 39 BP 173 EP 187 DI 10.1016/j.jfluidstructs.2013.01.008 PD MAY 2013 PY 2013 RI Egusquiza, Eduard/P-4501-2019; Farhat, Mohamed/H-9463-2012; PUIGORIOL, FRANCESC XAVIER ESCALER/M-6773-2019; ESCALER PUIGORIOL, FRANCESC XAVIER/O-1693-2014; Egusquiza, Eduard/I-4257-2015; de la Torre, Oscar/ OI Farhat, Mohamed/0000-0002-4782-2170; PUIGORIOL, FRANCESC XAVIER ESCALER/0000-0002-9374-7749; ESCALER PUIGORIOL, FRANCESC XAVIER/0000-0002-9374-7749; Egusquiza, Eduard/0000-0003-1007-7901; de la Torre, Oscar/0000-0002-5814-9460 ZR 0 TC 38 ZB 1 ZS 0 Z8 3 Z9 38 SN 0889-9746 UT WOS:000319172000011 ER

PT J AU Thomsen, JJ TI Vibration suppression by using self-arranging mass: Effects of adding restoring force SO JOURNAL OF SOUND AND VIBRATION VL 197 IS 4 BP 403 EP 425 DI 10.1006/jsvi.1996.0540 PD NOV 7 1996 PY 1996 OI Thomsen, Jon Juel/0000-0003-2311-7888 ZS 0 TC 37 Z8 1 ZB 0 ZR 0 Z9 38 SN 0022-460X UT WOS:A1996VR23300002 ER

PT J AU Canellas, E. Vera, P. Domeno, C. Alfaro, A. P. Nerin, C. TI Atmospheric pressure gas chromatography coupled to quadrupole-time of flight mass spectrometry as a powerful tool for identification of non intentionally added substances in acrylic adhesives used in food packaging materials SO JOURNAL OF CHROMATOGRAPHY A VL 1235 BP 141 EP 148 DI 10.1016/j.chroma.2012.02.039 PD APR 27 2012 PY 2012 CT 13th Congress on Instrumental Analysis CY NOV 14-16, 2011 CL Barcelona, SPAIN RI Ucar, Abdullah/P-8329-2017; Nerin, Cristina/H-6945-2015; canellas, elena/; VERA, PAULA/ OI Nerin, Cristina/0000-0003-2685-5739; canellas, elena/0000-0003-2638-9221; VERA, PAULA/0000-0002-8765-4319 ZS 0 TC 36 ZR 0 ZB 28 Z8 3 Z9 37 SN 0021-9673 UT WOS:000302893000016 PM 22402127 ER

PT J AU LANDWEBER, L YIH, CS TI FORCES, MOMENTS, AND ADDED MASSES FOR RANKINE BODIES SO JOURNAL OF FLUID MECHANICS VL 1 IS 3 BP 319 EP 336 DI 10.1017/S0022112056000184 PD 1956 PY 1956 ZS 0 Z8 4 ZR 0 ZB 0 TC 34 Z9 37 SN 0022-1120 UT WOS:A1956WV89900004 ER

PT J AU Furusawa, Hiroyuki Ozeki, Tomomitsu Morita, Mizuki Okahata, Yoshio TI Added Mass Effect on Immobilizations of Proteins on a 27 MHz Quartz Crystal Microbalance in Aqueous Solution SO ANALYTICAL CHEMISTRY VL 81 IS 6 BP 2268 EP 2273 DI 10.1021/ac802412t PD MAR 15 2009 PY 2009 ZS 0 Z8 2 TC 34 ZR 0 ZB 9 Z9 36 SN 0003-2700 EI 1520-6882 UT WOS:000264142000030 PM 19228044 ER

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1. 2013 The added mass of an expanding bubble Ohl, CD; Tijink, A; Prosperetti, A

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1. FORCES, MOMENTS, AND ADDED MASSES FOR RANKINE BODIES

By: LANDWEBER, L; YIH, CS JOURNAL OF FLUID MECHANICS Volume: 1 Issue: 3 Pages: 319-336 Published: 1956 Context Sensitive Links Full Text from Publisher Times Cited: 37

1. NOTE ON ADDED MASS AND DRIFT

By: BENJAMIN, TB JOURNAL OF FLUID MECHANICS Volume: 169 Pages: 251-256 Published: AUG 1986 Context Sensitive Links Full Text from Publisher Times Cited: 33 (from All Databases) Usage Count Show usage counts Select record4

1. Note on the induced Lagrangian drift and added-mass of a vortex

By: Dabiri, JO JOURNAL OF FLUID MECHANICS Volume: 547 Pages: 105-113 Published: JAN 25 2006 Context Sensitive Links Full Text from Publisher Free Accepted Article From Repository Times Cited: 29 (from All Databases) Usage Count Show usage counts Select record5

ADDED MASS OF 2-DIMENSIONAL CYLINDERS HEAVING IN WATER OF FINITE DEPTH By: BAI, KJ JOURNAL OF FLUID MECHANICS Volume: 81 Issue: JUN9 Pages: 85-105 Published: 1977 Context Sensitive Links Full Text from Publisher Times Cited: 28 (from All Databases) Usage Count Show usage counts Select record6

The wave-induced added mass of walking droplets By: Bush, John W. M.; Oza, Anand U.; Molacek, Jan JOURNAL OF FLUID MECHANICS Volume: 755 Article Number: R7 Published: SEP 2014 Context Sensitive Links Full Text from Publisher Times Cited: 17 (from All Databases) Usage Count Show usage counts Select record7

Drag cancellation by added-mass pumping By: Giorgio-Serchi, F.; Weymouth, G. D. JOURNAL OF FLUID MECHANICS Volume: 798 Article Number: R3 Published: JUL 2016 Context Sensitive Links Full Text from Publisher Times Cited: 5 (from All Databases) Usage Count Show usage counts Select record8

THE HEAVE ADDED-MASS AND DAMPING COEFFICIENTS OF A SUBMERGED TORUS By: HULME, A JOURNAL OF FLUID MECHANICS Volume: 155 Issue: JUN Pages: 511-530 Published: 1985 Context Sensitive Links Full Text from Publisher Times Cited: 5 (from All Databases) Usage Count Show usage counts Select record9

Added mass energy recovery of octopus-inspired shape change By: Steele, S. C.; Weymouth, G. D.; Triantafyllou, M. S. JOURNAL OF FLUID MECHANICS Volume: 810 Pages: 155-174 Published: JAN 10 2017 Context Sensitive Links Full Text from Publisher Times Cited: 3 (from All Databases) Usage Count Show usage counts Select record10

Quantification of added-mass effects using particle image velocimetry data for a translating and rotating flat plate By: Corkery, S. J.; Babinsky, H.; Graham, W. R. JOURNAL OF FLUID MECHANICS Volume: 870 Pages: 492-518 Published: JUL 10 2019 Context Sensitive Links Full Text from Publisher Times Cited: 0 (from All Databases) Usage Count Show usage counts Select record11

Added mass: a complex facet of tidal conversion at finite depth By: Brouzet, C.; Ermanyuk, E. V.; Moulin, M.; et al. JOURNAL OF FLUID MECHANICS Volume: 831 Pages: 101-127 Published: NOV 25 2017 Context Sensitive Links Full Text from Publisher Times Cited: 0 (from All Databases) Usage Count Show usage counts Select record12

The added mass of two-dimensional cylinders heaving in water of finite depth By: Kwang June Bai Journal of Fluid Mechanics Volume: 81 Pages: 85-105 Published: 9 June 1977 Context Sensitive Links Times Cited: 0 (from All Databases) Usage Count Show usage counts

Footnotes:

¹

vikestard K, Vandiver J K, Larsen C M. Added mass and oscillation frequency for a circular cylinder subjected to vortex-induced vibrations and external disturbance[J]. Journal of Fluids and Structures, 2000, 14(7): 1071-1088.

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