Solution to the One‐Dimensional Linear Moisture Flow Equation with Water Extraction

Abstract

The one‐dimensional, steady‐state moisture flow equation is solved for arbitrary plant water withdrawal functions using the matric flux potential of earlier investigators to obtain a linearized form. A semi‐infinite flow medium and a finite‐depth medium overlying a shallow water table are considered with the surface boundary condition taken as a flux. Tables are presented giving the matric flux potential (from which the pressure head is easily determined) for several withdrawal functions. Numerical examples show the effects of different surface fluxes and rooting depths on the matric flux potential and pressure‐head profiles. The results are particularly relevant for high‐frequency irrigation.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 01, 1974
Source ID
10.2136/sssaj1974.03615995003800040017x

Entities

People

  • A. W. Warrick

Organizations

  • United States Department of Defense

Tags

Fields of Study

  • Mathematics

Readers

  • Aquatic Ecology
  • Fluid Dynamics.
  • Thermal Physics or Thermal Science.