Km. Syring et N. Claassen, ESTIMATION OF THE INFLUX AND THE RADIUS OF THE DEPLETION ZONE DEVELOPING AROUND A ROOT DURING NUTRIENT-UPTAKE, Plant and soil, 175(1), 1995, pp. 115-123
An approximation to the analytical solution of the one-dimensional dif
fusion equation in cylindrical coordinates is derived. The solution ap
plies to a semi-infinite system with a prescribed concentration at the
root surface. From this approximate solution, simple formulas for cal
culating the radius of the depletion zone and the nutrient flux at the
root surface as a function of time are obtained.