The stability of pendent liquid drops. Part 2. Axial symmetry

Pitts, E.

doi:10.1017/s0022112074001741

Cited by 83 publications

(53 citation statements)

References 6 publications

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“…The element surface tension stiffness matrix for axisymmetric case follows by taking the directional derivative of the expression (39) in the direction of the displacement and results in the following expressions…”

Section: The Stiffness Matrixmentioning

confidence: 99%

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On finite element modelling of surface tension Variational formulation and applications – Part I: Quasistatic problems

Saksono

Perić

2005

Comput Mech

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This paper describes variational formulation and finite element discretization of surface tension. The finite element formulation is cast in the Lagrangian framework, which describes explicitly the interface evolution. In this context surface tension formulation emerges naturally through the weak form of the Laplace-Young equation.The constitutive equations describing the behaviour of Newtonian fluids are approximated over a finite time step, leaving the governing equations for the free surface flow function of geometry change rather than velocities. These nonlinear equations are then solved by using Newton-Raphson procedure.Numerical examples have been executed and verified against the solution of the ordinary differential equation resulting from a parameterization of the Laplace-Young equation for equilibrium shapes of drops and liquid bridges under the influence of gravity and for various contact angle boundary conditions.

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Section: The Stiffness Matrixmentioning

confidence: 99%

“…Articles on the stability of pendent drops by Pitts [39], Michael and Williams [40], and Finn [41] discuss some aspects of stability of pendent drops and can be used as a guidance.…”

Section: Pendent Dropsmentioning

confidence: 99%

On finite element modelling of surface tension Variational formulation and applications – Part I: Quasistatic problems

Saksono

Perić

2005

Comput Mech

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“…Suppose that we have parametrized our family of pendent drops satisfying ψ(s, R) -a by ε(ε > 0) where where V'(β) = 0 occurs after the appearance of an inflection point on the profile curves. As noted in the introduction, the following theorem was proven by E. Pitts [14] in the symmetric case. y(p, θ, ε) = κ(ε)x(p, θ, ε).…”

Section: E(f G)mentioning

confidence: 86%

“…E. Pitts [14] studied all three problems. For example he established that for Problem C, the maximum volume criterion determines the limits of symmetric stability.…”

Section: Henry C Wentementioning

confidence: 99%

The stability of the axially symmetric pendent drop

Wente¹

1980

Pacific J. Math.

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“…Orthoquartzite is a primary component of the nearby Black Mingo formation, which was heavily exploited during the prehistoric period . This geologic formation is at or near the surface in the eastern two-thirds of Sumter County and along the western bluff edge of the Santee and Congree rivers in western Calhoun County (Pitts 1974:109, Colquhoun 1965.…”

Section: Orthoquartzitementioning

confidence: 96%

Phase I and II Archaeological Investigations at Shaw Air Force Base and the Poinsett Electronic Combat Range, Sumter County, South Carolina

Banguilan¹,

Cable²,

Cantley³

et al. 2005

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REPORT DOCUNENTATION PAGEForm Approved OMB Ab. Public reporting burden for this collection of information is estimatedto average I hourper response, includingthe time for reviewing instructions, searching existing data sources, gathenngand maintaining the data needed, and completing and reviewing the collection ofinfonmation. Send conmments regarding this burden estimate or any other aspect of this collection ofinformation, including suggestions for reducing this burden, to Washington Headquarters Services Directorate (AFB). Most of the PECR is located in Sumter County's Manchester Township, with the southern end extending into Fulton, and the eastern edge crossing over into Privateer. The three sites under examination are from north to south, 38SU58, 38SU222, and 38SU191. All three sites were recorded as containing potentially eligible prehistoric components. The testing phase was performed in order to determine the nature and significance of these sites as well as to gather information, which would facilitate the responsible management of these resources. Methods used to evaluate the sites included close interval shovel testing and test unit excavations at locations where artifact concentrations indicated the possible presence of intact cultural components or artifact clusters.Phase II testing at 38SU58 did not suggest a high potential for future research. Only small portions of site components remain intact, while the majority of the site is contained within the disturbed transmission-line corridor. As such, 38SU58 is recommended ineligible for nomination to the NRHP. On the other hand, Phase II testing at 38SU191 and 38SU222 revealed significant intact prehistoric components dating from the Early Archaic, Middle/Late Woodland, and Mississippian cultural periods. These sites were evaluated as eligible for nomination to the National Register according to their potential contributions to chronology building and phase definition, site structural and functional reconstruction, and settlement and subsistence reconstruction research domains previously identified for prehistoric archaeology at the PECR (Cable and Cantley 1998).Phase I archaeological survey of three selected tracts within Show Air Force Base resulted in the revisit/relocation of 38SU250 and the identification of one new site (38SU299). 38SU299 is a small floodplain site situated on the northern bank of Long Branch. The presence of a possible midden feature and diagnostic lithic and ceramic material dating to the Middle Woodland and Mississippian cultural periods indicates good research potential. 38SU299 is therefore recommended potentially eligible for nomination to the NHRP.Investigations at previously recorded site 38SU250 consisted of a surface survey over a 60 x 60 meter area of exposed ground surface. Although limited, the artifact collection identified Deptford (Middle Woodland) and Santee (Late Woodland/ Mississippian) series sherds, lithic debitage and a single Sykes/White Springs Stemmed projectile point/knife (PPK) (Middle/Late Archaic)....

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The stability of pendent liquid drops. Part 2. Axial symmetry

Cited by 83 publications

References 6 publications

On finite element modelling of surface tension Variational formulation and applications – Part I: Quasistatic problems

On finite element modelling of surface tension Variational formulation and applications – Part I: Quasistatic problems

The stability of the axially symmetric pendent drop

Phase I and II Archaeological Investigations at Shaw Air Force Base and the Poinsett Electronic Combat Range, Sumter County, South Carolina

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