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