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Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique

Published online by Cambridge University Press:  20 April 2006

G. Ryskin  and
L. G. Leal
G. Ryskin
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125 Present address: Department of Chemical Engineering, Northwestern University, Evanston, Illinois 60201.
L. G. Leal
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125
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Abstract

We present here a brief description of a numerical technique suitable for solving axisymmetric (or two-dimensional) free-boundary problems of fluid mechanics. The technique is based on a finite-difference solution of the equations of motion on an orthogonal curvilinear coordinate system, which is also constructed numerically and always adjusted so as to fit the current boundary shape. The overall solution is achieved via a global iterative process, with the condition of balance between total normal stress and the capillary pressure at the free boundary being used to drive the boundary shape to its ultimate equilibrium position.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 148 , November 1984 , pp. 1 - 17
Copyright
© 1984 Cambridge University Press

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