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- W1998615087 abstract "We present the analytical constant-flux solution to Burgers' equation. Burgers' equation is a minimally nonlinear Fokker-Planck diffusion equation, applicable to infiltration into soils with a constant diffusivity and quadratic conductivity-water content relationship. Field Bungendore fine sand has a near-constant diffusivity-water content relationship, and analytical solutions of Burgers' equation are in good agreement with field profiles of water content obtained in situ with a rainfall simulator. The solutions and experimental data all relate to nonponding infiltration with fluxes less than the saturated hydraulic conductivity; however, a wide range of elapsed times and flux rates are covered. Predicted wet-front penetration is in good agreement with the field experimental data. The complete analytical solution can be evaluated using a programmable hand calculator. The simpler “profile-at-infinity” solution is shown to be surprisingly accurate over a wide range of times, giving useful results easily. An expression for the time to ponding is also presented." @default.
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- W1998615087 date "1981-10-01" @default.
- W1998615087 modified "2023-10-13" @default.
- W1998615087 title "BURGERS' EQUATION" @default.
- W1998615087 doi "https://doi.org/10.1097/00010694-198110000-00001" @default.
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