Analytical solutions of kinematic equations for erosion on a plane I. Rainfall of indefinite duration Academic Article

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. 1983.

authors

• Singh, Vijay

published proceedings

• Advances in Water Resources

author list (cited authors)

• Singh, V. P., & Regl, R. R.

citation count

• 24

complete list of authors

• Singh, Vijay P||Regl, Robert R

publication date

• March 1983

publisher

• Elsevier  Publisher

published in

• Advances in Water Resources  Journal

Digital Object Identifier (DOI)

• 10.1016/0309-1708(83)90073-8

start page

• 2

end page

• 10

volume

• 6

issue

• 1

URL

• http://dx.doi.org/10.1016/0309-1708(83)90073-8