Department of Biological and Agricultural Engineering

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Browsing Department of Biological and Agricultural Engineering by Author "Sherman, Bernard"

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    A distributed converging overland flow model: 1. Mathematical solutions
    (American Geophysical Union, 1976-10) Sherman, Bernard; Singh, Vijay P.
    In models for overland flow based on kinematic wave theory the friction parameter is assumed to be constant. This paper studies a converging geometry and allows continuous spatial variability in the parameter. Parameter variability results in a completely distributed approach, reduces the need to use a complex network model to simulate watershed surface runoff, and saves much computational time and effort. This paper is the first in a series of three. It develops analytical solutions for a converging geometry with no infiltration and temporally constant lateral inflow. Part 2 discusses the effect of infiltration on the runoff process, and part 3 discusses application of the proposed model to natural agricultural watersheds.
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    A distributed converging overland flow model: 2. Effect of infiltration
    (American Geophysical Union, 1976-10) Sherman, Bernard; Singh, Vijay P.
    The overland flow on an infiltrating converging surface is studied. Mathematical solutions are developed to study the effect of infiltration on nonlinear overland flow dynamics. To develop mathematical solutions, infiltration and rainfall are represented by simple time and space in variant functions. For complex rainfall and infiltration functions, explicit solutions are not feasible.
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    A kinematic model for surface irrigation: An extension
    (American Geophysical Union, 1982-06) Sherman, Bernard; Singh, Vijay P.
    The kinematic model for surface irrigation, reported previously by Sherman and Singh (1978), is extended. Depending upon the duration of irrigation and time variability of infiltration, three cases are distinguished. Explicit solutions are obtained when infiltration is constant. When infiltration is varying in time, a numerical procedure is developed which is stable and has fast convergence. A rigorous theoretical justification is developed for computation of the depth of water at and the time history of the front wall of water advancing down an infiltrating plane or channel. A derivation is given of the continuity and momentum equations when there is lateral inflow and infiltration into the channel bed.