Free surface seepage from nonsymmetric channels

✍ Scribed by J. Remar; J. C. Bruch Jr.; J. M. Sloss

• Book ID: 102961902
• Publisher: John Wiley and Sons
• Year: 1982
• Tongue: English
• Weight: 698 KB
• Volume: 18
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620181009

✦ Synopsis

Abstract

The problem of steady, two‐dimensional seepage from a nonsymmetric channel through a homogeneous porous medium underlain at a finite depth by a drain, is solved using the Baiocchi transformation and method. Because of the nonsymmetry in the problem, both free surfaces must be included in the solution domain of the problem. Thus, several interesting complexities are introduced into the solution of the problem. First, there are the two solution domain extensions (one across each free surface) and then the formulation of the new dependent variable throughout the extended solution domain. Secondly, the projection operator has two bounds in the numerical scheme. Finally, there are two compatibility conditions—one for the flowrate and one for the value of the new dependent variable at the left‐hand side free surface‐channel intersection. A secant method for the solution of two simultaneous nonlinear equations was used to obtain the values of these parameters. Results from the proposed method compared favourably with what few results were available in the literature.