Multilayer Asymptotic Solution for Wetting Fronts in Porous Media with Exponential Moisture Diffusivity
نویسندگان
چکیده
منابع مشابه
Asymptotic Behaviour of Wetting Fronts in Porous Media with Exponential Moisture Diffusivity
Abstract. We investigate the asymptotic behaviour of the wetting front arising from unsaturated flow in porous media wherein the liquid saturation θ obeys a nonlinear diffusion equation having moisture diffusivity that is an exponential function D(θ) = Do exp(βθ). For values of the physical parameters corresponding to actual porous media, the diffusivity at the residual value of saturation is D...
متن کاملDetermiination of moisture diffusivity in porous media using moisture concentration profiles
Abstract--A procedure is presented to determine the moisture diffusivity for drying from measured moisture concentratio~a profiles. From error analysis it is shown that the applied space grid for scanning and the one-dimensional resolution of the NMR (nuclear magnetic resonance) method used for the measurements had a minor influence on the accuracy of the determination of the moisture diffusivi...
متن کاملMultiple scale structure of non wetting fluid invasion fronts in 3D model porous media
2014 We report experimental measurements on the structure of invasion fronts obtained by slow vertical injection of liquid, non wetting, Wood metal into non consolidated crushed glass. The geometry of plane cuts of the invasion front both parallel and perpendicular to the flow direction is analysed. The structure of perpendicular cuts is self similar in a length scale range of 1 to 20 with a fr...
متن کاملDrying in porous media with gravity-stabilized fronts: experimental results.
In a recent paper [Yiotis et al., Phys. Rev. E 85, 046308 (2012)] we developed a model for the drying of porous media in the presence of gravity. It incorporated effects of corner film flow, internal and external mass transfer, and the effect of gravity. Analytical results were derived when gravity opposes drying and hence leads to a stable percolation drying front. In this paper, we test the t...
متن کاملAsymptotic solutions of compaction in porous media
Compaction in reactive porous media is modelled as a reaction-diffusion process with a moving boundary. Asymptotic analysis is used to find solutions for the coupled nonlinear compaction equations, and a traveling wave solution is obtained above the reaction zone.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 2015
ISSN: 0022-2526
DOI: 10.1111/sapm.12111