The use of porous ducts to deliver water to agricultural fields is an old technique which helps saving water and prevents ground erosion. Designing porous duct is not as a simple task as it looks and apparently has never been the subject of mathematical research. Here the problem is addressed making use of a double rescaling of space and velocity variables, which allows the derivation of the governing equations starting from the study of the classical Navier Stokes equations in a pipe. Such equations are then solved obtaining results of practical interest in design of irrigation pipes, both for low discharge pipes (small plants) and for high discharge pipes (large plants).
Designing irrigation pipes / A. Fasano; A. Farina. - In: JOURNAL OF MATHEMATICS IN INDUSTRY. - ISSN 2190-5983. - ELETTRONICO. - 1:8:(2011), pp. 0-0. [10.1186/2190-5983-1-8]
Designing irrigation pipes
FASANO, ANTONIO;FARINA, ANGIOLO
2011
Abstract
The use of porous ducts to deliver water to agricultural fields is an old technique which helps saving water and prevents ground erosion. Designing porous duct is not as a simple task as it looks and apparently has never been the subject of mathematical research. Here the problem is addressed making use of a double rescaling of space and velocity variables, which allows the derivation of the governing equations starting from the study of the classical Navier Stokes equations in a pipe. Such equations are then solved obtaining results of practical interest in design of irrigation pipes, both for low discharge pipes (small plants) and for high discharge pipes (large plants).I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.