Analytical solutions of kinematic equations for erosion on a plane I. Rainfall of indefinite duration |
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| Authors: | Vijay P Singh Robert R Regl |
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| Institution: | Department of Civil Engineering, Louisiana State University, Baton Rouge, LA 70803, USA;Department of Civil Engineering, P.O. Box Drawer CE, Mississippi State University, Mississippi State, MS 39762, USA |
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| Abstract: | Kinematic equations have been utilized in the past for modeling erosion from a sloping plane subject to rainfall. This paper, part I in a series of two, presents analytical solutions of these equations under the assumption of constant effective rainfall of indefinite duration. These solutions contain a function which is related to a generalization of Dawson's integral. Some pertinent properties of this function are briefly discussed. The solutions obtained by previous investigators constitute a part of the solutions developed here. In part II the solutions are derived for the case when the duration of the effective rainfall is finite. |
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