Axisymmetric penetration of a cone into a liquid
Abstract
The immersion of a circular cone at a constant rate in an incompressible fluid (initially in the state of rest) is analyzed in a cylindrical system of coordinates, using the Laplace equation and nonlinear boundary conditions at the free surface to describe the process. The corresponding nonlinear boundary value problem is solved by a parametric differentiation method, where the problem is reduced to a series of known linear boundary value problems in the theory of functions of a complex variable.
 Publication:

Prikladnaia Mekhanika
 Pub Date:
 April 1975
 Bibcode:
 1975PriM...11..131K
 Keywords:

 Circular Cones;
 Hydroballistics;
 Liquid Surfaces;
 Terminal Ballistics;
 Boundary Conditions;
 Boundary Value Problems;
 Free Boundaries;
 Laplace Equation;
 Fluid Mechanics and Heat Transfer