Abstract

A mathematical model in an oblate spheroidal coordinate system is presented to describe the unsteady wetting pattern emerging from a disc source of constant radius. Two types of source boundary conditions were considered with the model: inflow through a saturated disc, and constant inflow through a disc. Numerical solutions of the problem are obtained using an alternating direction implicit finite difference method. The model is validated with the analytical model of Warrick and Lomen (1976), and through comparison with the observed wetting fronts for the experiment conducted by Clothier and Scotter (1982). Effects of the two conditions used for source boundary are discussed.

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