Cracking is a common phenomenon in clayey soils under soil-atmosphere interaction. It
strongly promotes water evaporation and further affects thermo-hydro-mechanical behavior …

A model for predicting water evaporation from clayey soil with desiccation cracks was
developed based on a general suction-related model. The effect of desiccation cracks was …

Closed form approximate solutions to nonlinear heat (mass) diffusion equation with power-
law nonlinearity of the thermal (mass) diffusivity have been developed by the integral …

Evaporation from unsaturated soil is characterized by vapor transfer in the upper part and
liquid water transfer in the lower part of the soil. This study develops an analytical model for …

Investigating the evaporation process and corresponding soil moisture redistribution in
cracked soils amidst intricate atmospheric conditions poses persistent challenges. In this …

The communication presents a closed form approximate solution of the nonlinear diffusion
equation of a power-law nonlinearity of the diffusivity developed by the heat-balance integral …

An analytical model based on Richards equation is presented to describe water content
redistribution during evaporation. Exponential functions are utilized to describe the relation …

A general analytical model for one‐dimensional transient vertical infiltration is presented.
The model is based on a combination of the Brooks and Corey soil water retention function …

Soil hydraulic properties quantify soil pore structure and are essential input parameters for
simulating soil hydrological processes in the vadose zone. Although methods have been …

Core Ideas Least action and variational principles were used to simulate unsaturated
vertical infiltration. A functional extremum explicit solution to Richards' equation was …