Numerical simulation of convective flows in a soil during the evaporation of water containing a dissolved admixture. (English. Russian original) Zbl 1302.76185
Fluid Dyn. 49, No. 5, 634-644 (2014); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2014, No. 5, 81-92 (2014).
Summary: The concentration profile is investigated for a solution that saturates a low-permeability soil. The simulation results showed the presence of three flow regimes. The salt accumulated near the phase transition boundary increases the solution density and may lead to the development of natural concentration-induced convection which interacts with the rising flow (forced convection). The stability threshold of the forced flow and the effect on it of natural convection that arises are determined. It is shown that at intense flow to the evaporation surface the admixture concentration increases at this boundary rapidly and reaches the saturation concentration. In this case, the admixture precipitates. In the slow evaporation regime the admixture diffuses from the high-concentration region, which prevents the development of convective flow.
MSC:
| 76S05 | Flows in porous media; filtration; seepage |
| 76R10 | Free convection |
| 76E06 | Convection in hydrodynamic stability |
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 86A05 | Hydrology, hydrography, oceanography |
Keywords:
flow through a porous medium; evaporation; admixture diffusion; stability; numerical simulation; finite-difference method; convectionReferences:
| [1] | P.Ya. Kochina, Theory of Groundwater Motion (Nauka, Moscow, 1977) [in Russian]. |
| [2] | A. Yakirevich, P. Berliner, and S. Sorek, “A Model for Numerical Simulating of Evaporation from Bare Saline Soil,” Wat. Resour. Res. 33(5), 1021-1033 (1997). · doi:10.1029/96WR03684 |
| [3] | J.W. Gowing, F. Konukcu, and D.A. Rose, “Evaporative Flux from a Shallow Watertable: the Influence of a Vapour-Liquid Phase Transition,” J. Hydrol. 321(1-4), 77-89 (2006). · doi:10.1016/j.jhydrol.2005.07.035 |
| [4] | G.G. Tsypkin and L. Brevdo, “A Phenomenological Model of the Increase in Solute Concentration in Ground Water due to Evaporation,” Transport Porous Media 37, 129-151 (1999). · doi:10.1023/A:1006656730543 |
| [5] | S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon Press, Oxford, 1961). · Zbl 0142.44103 |
| [6] | A.T. Il’ichev, G.G. Tsypkin, D. Pritchard, and Ch.N. Richardson, “Instability of the Salinity Profile during the Evaporation of Saline Groundwater,” J. Fluid Mech. 614, 87-104 (2008). · Zbl 1155.76026 · doi:10.1017/S0022112008003182 |
| [7] | E.B. Soboleva, “Method for Numerically Investigating the Dynamics of Saline Water in Soil,” Mat. Modelirovanie 26(2), 50-64 (2014). · Zbl 1313.76114 |
| [8] | L.G. Loitsanskii, Mechanics of Liquids and Gases (Nauka, Moscow, 1978) [in Russian]. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
