# Inviscid fluid flow in an accelerating cylindrical container

@article{Moore1965InviscidFF, title={Inviscid fluid flow in an accelerating cylindrical container}, author={R. E. Moore and Lawrence M. Perko}, journal={Journal of Fluid Mechanics}, year={1965}, volume={22}, pages={305 - 320} }

The problem of the axially symmetric irrotational flow of an inviscid incompressible fluid with a free surface in a circular cylindrical container accelerating parallel to its axis is considered. A numerical procedure is developed and some interesting motions exhibiting the development of breakers, splashing and sustained oscillations of the surface are obtained by machine computation.

## 40 Citations

Large-amplitude motions of a liquid—vapour interface in an accelerating container

- PhysicsJournal of Fluid Mechanics
- 1969

This paper considers the large-amplitude symmetric and asymmetric irrota-tional motion of an inviscid incompressible fluid with a liquid—vapour interface in an accelerating container of revolution. A…

On the Unsteady Motion of a Viscous Hydromagnetic Fluid Contained in a Cylindrical Vessel

- Engineering
- 1966

applied as yet to the eases of principal engineering interest, Bond number, and contact angle near zero. We believe that the example cited previously may explain this lack of success. Were suitable…

Numerical simulation of the dynamics of a liquid in a moving axisymmetric cavity

- Physics, Engineering
- 1984

The problem of the motion of an ideal liquid with a free surface in a cavity within a rigid body has been most fully studied in the linear formulation [1, 2]. In the nonlinear formulation, the…

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

- Engineering
- 2007

Weakly nonlinear resonant sloshing in a circular cylindrical baffled tank with a fairly deep fluid depth (depth/radius ratio ≥ 1) is examined by using an asymptotic modal method, which is based on…

High-speed water jets from vertically accelerated rotating cones

- Physics, EngineeringJournal of Fluid Mechanics
- 1973

Water jets are produced by vertically accelerating a rotating cone partially filled with water. It is shown that the acceleration of the parabolic meniscus results in a motion similar to that…

Nonlinear sloshing of liquid in rigid cylindrical container with a rigid annular baffle: free vibration

- Engineering
- 2014

In this paper, the free nonlinear sloshing of liquid in a rigid partially liquid-filled cylindrical container with a rigid annular baffle is investigated. The liquid domain is firstly divided into…

The contact angle in inviscid fluid mechanics

- Mathematics
- 2005

We show that in general, the specification of a contact angle condition at the contact line in inviscid fluid motions is incompatible with the classical field equations and boundary conditions…

## References

SHOWING 1-7 OF 7 REFERENCES

Standing capillary-gravity waves of finite amplitude

- Physics, GeologyJournal of Fluid Mechanics
- 1962

Standing surface waves in an inviscid incompressible fluid of finite depth are considered, taking into account the effect of capillary forces. Perturbation solutions for the surface profile, velocity…

Standing capillary-gravity waves of finite amplitude: Corrigendum

- PhysicsJournal of Fluid Mechanics
- 1964

The uniqueness condition that was utilized by the author (Concus 1962) is considered. The condition, which excludes certain fluid depths, is shown to be physically unacceptable because it is…

Fundamental solutions of parabolic differential equations and boundary value problems

- Mathematics
- 1957

parameter semi-group of bounded operators defined by the fundamental solution of a parabolic differential equation, and show the existence of Green functions of elliptic differential equations with a…

Methods of Mathematical Physics

- Mathematics
- 1947

Partial table of contents: THE ALGEBRA OF LINEAR TRANSFORMATIONS AND QUADRATIC FORMS. Transformation to Principal Axes of Quadratic and Hermitian Forms. Minimum-Maximum Property of Eigenvalues.…

The dynamics of the free liquid surface in cylindrical containers under strong capillary and weak gravity conditions

- Stanford University Department of Mech. Eng., Thermo. Sci. Div. T.R. no. LG-2
- 1964

Interpolation and Approximation. Rhode Is

- 1956

Dicksonfor their many enlightening discussionswithout which thiswork would not have been possible and R. L. Causey for suggesting the orthonormalization