A free boundary problem arising in a kinematic wave model of channel flow with infiltration
Open Access
- 1 January 1981
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 39 (1) , 87-96
- https://doi.org/10.1090/qam/613953
Abstract
Water flowing down a dry channel and infiltrating into the channel bed constitutes a free boundary problem. The free boundary is the time history of the water edge or front. In this paper we discuss a kinematic wave model of the problem. The problem is formulated in Sec. 1 and the results summarized in Sec. 2. In Secs. 3 and 4 the mathematical details are carried out, and in Sec. 5 a model using the continuity and momentum equations of hydraulics is discussed.Keywords
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