PROMOTING ACCESS TO AFRICAN RESEARCH

Water SA

Log in or Register to get access to full text downloads.

Remember me or Register



A generalised groundwater flow equation using the concept of non-integer order derivatives

A Cloot, JF Botha

Abstract




The classical Darcy law is generalised by regarding the water flow as a function of a non-integer order derivative of the piezometric
head. This generalised law and the law of conservation of mass are then used to derive a new equation for groundwater flow. Numerical solutions of this equation for various fractional orders of the derivatives are compared with experimental data and the Barker generalised radial flow model for which a fractal dimension for the flow is assumed.

Water SA Vol.32 (1) 2005: pp.1-7



http://dx.doi.org/10.4314/wsa.v32i1.5225
AJOL African Journals Online