Kacimov, A. R.; Obnosov, Yu. V. Analytical determination of seeping soil slopes of a constant exit gradient. (English) Zbl 1003.30030 ZAMM, Z. Angew. Math. Mech. 82, No. 6, 363-376 (2002). Soil slopes satisfying the condition of a constant exit gradient and the seepage face condition are studied by the methods of complex analysis. For a given slope \(y=F(x)\) the exit gradient \(|\nabla h|_F \) is determined from the flow problem. In this paper the authors consider the case when \(|\nabla h|_F =J/k\) along the slope, where \(J\) is a given critical velocity and \(h\) is the hydraulic head. In that case the exit gradient is a constant along \(F(x)\). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) Cited in 5 Documents MSC: 30E25 Boundary value problems in the complex plane Keywords:slope; stability; analytic functions; conformal mappings; Riemann’s problem PDFBibTeX XMLCite \textit{A. R. Kacimov} and \textit{Yu. V. Obnosov}, ZAMM, Z. Angew. Math. Mech. 82, No. 6, 363--376 (2002; Zbl 1003.30030) Full Text: DOI