Time-dependent Infiltration from Periodic Semi-Circular Channels with Two Different Types of Root-Water Uptake

Abstract

In this study, time dependent infiltration problems from periodic semicircular channels with root-water uptake function are considered. The considered problems are governed by Richards equation. To scrutinize the equation more conveniently, the equation was transformed into a modified Helmholtz equation using a set of transformations involving Laplace transform. A Laplace transform dual reciprocity method (LTDRM) with a predictor-corrector scheme, which was used to solve the modified Helmholtz equation numerically. Using the solution obtained, numerical values of amount of water absorbed by the different plant roots distribution can be computed.