Penetration of a parabolic cylinder into a compressible liquid

Gavrilenko, V. N.

doi:10.1007/bf00883943

Cited by 1 publication

(1 citation statement)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The presence of such a condition renders the problem nonlinear despite the fact that both the equations of motion and the boundary conditions are linearized. The problem stated in this way has been numerically solved by Gavrilenko (1984) and Gavrilenko & Kubenko (1985) using an iteration method. In this method the size of the contact spot is selected at every time step from the condition that moving liquid particles do not penetrate the 'forbidden' region bounded by the surface of the entering body.…”

Section: Introductionmentioning

confidence: 99%

Blunt-body impact on the free surface of a compressible liquid

Korobkin

1994

J. Fluid Mech.

View full text Add to dashboard Cite

The present paper deals with the plane unsteady problem of the penetration of a blunt solid contour into an ideal compressible liquid. At the initial instant of time, the solid body touches the liquid free boundary at a single point. At the initial stage, the duration of which depends on the body geometry, the displacements of liquid particles are small and the disturbed fluid motion is described within the framework of the acoustic approximation. The main feature of the problem is the existence of a contact line between the free surface of the liquid and the solid-body surface. The position of this line is not known in advance and is to be determined together with the solution of the problem. A brief description of the method that provides a solution of complicated nonlinear problems such as this is given. The pressure distribution and the velocity field in the liquid are shown to be given in quadratures and in the case of a parabolic entering contour in an explicit form. For a parabolic entering contour the pressure at the top of the contour calculated using the model of an incompressible liquid is observed to deviate from a precise value by not more than 10% of the latter after the first expansion waves have passed the contact point. The solution analysis enabled us to distinguish the regions in which the acoustic approximation fails and the liquid flow becomes essentially nonlinear.

show abstract

Section: Introductionmentioning

confidence: 99%

Blunt-body impact on the free surface of a compressible liquid

Korobkin

1994

J. Fluid Mech.

View full text Add to dashboard Cite

show abstract

Penetration of a parabolic cylinder into a compressible liquid

Cited by 1 publication

References 2 publications

Blunt-body impact on the free surface of a compressible liquid

Blunt-body impact on the free surface of a compressible liquid

Contact Info

Product

Resources

About