✦ LIBER ✦

On solving the non-linear diffusion equation for the radial flow of water to roots

✍ Scribed by J.B. Passioura; I.R. Cowan

Publisher: Elsevier Science
Year: 1968
Weight: 230 KB
Volume: 5
Category: Article
ISSN: 0002-1571
DOI: 10.1016/0002-1571(68)90044-7

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✦ Synopsis

The non-linear diffusion equation for the radial flow of water to a root can be solved approximately by assuming that iSO/~t is either zero (steady state) or constant (steady rate). The accuracy of such solutions has been in doubt, so they are here compared with exact solutions obtained numerically. It is shown that the approximate solutions agree well with the numerical ones for biologically possible conditions. The "steady rate" method is somewhat more accurate than the "steady state" one.

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