TECHNIQUES FOR SOLVING FREE-STREAMLINE, CAVITY, JET AND SEEPAGE PROBLEMS BY FINITE DIFFERENCES.
Abstract
Free surface problems in seepage through porous media (governed by Darcy's Law), and plane and axisymmetric idealized jets and cavities were solved by the methods of finite differences. The problems were solved by considering the stream function and the velocity potential as the dependent variables, the rectangular coordinates x and y or the cylindrical coordinates r and z, or other quantities such as the velocity and direction of flow as the dependent variables. Example solutions to the following problems are given: (1) Plane seepage flow through a homogeneous, isotropic or anisotropic dam on an impervious foundation with a toe drain. (2) Plane seepage from ditches of trapezoidal, triangular or rectangular sections through porous media consisting of one or two isotropic or anisotropic layer to a drained layer. (3) Plane cavitating flow of an inviscid, incompressible free jet of liquid past a body. (4) Plane cavitating flow of a body in an open channel with or without gravity in the transverse direction. (5) Axisymmetric cavitating flow of a jet of liquid past a body of revolution. (6) Axisymmetric flow of a liquid from a converging nozzle. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1966
- Accession Number
- AD0654922
Entities
People
- Roland W. Jeppson
Organizations
- Stanford University