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Simultaneous Transfer of Heat, Water, and Solute in Porous Media: I. Theoretical Development
Author(s) -
Nassar I. N.,
Horton Robert
Publication year - 1992
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1992.03615995005600050004x
Subject(s) - thermal diffusivity , thermodynamics , heat transfer , thermal conduction , mass transfer , chemistry , porous medium , heat transfer coefficient , convective heat transfer , churchill–bernstein equation , diffusion , latent heat , mass diffusivity , porosity , nusselt number , physics , reynolds number , turbulence , organic chemistry
Soil heat and mass transport occurs simultaneously under field conditions. The processes are complicated and difficult to study experimentally. Therefore, three governing equations were developed to theoretically describe the simultaneous transient transfer of heat, water, and solute in soil. Heat, water, and solute flux equations were developed and combined with conservation of mass and heat equations to yield the three partial differential equations. Each of the equations includes three diffusivity coefficients. The diffusivity coefficients are dependent on soil water content, temperature, and solute concentrations. Water transfer includes expressions for the vapor phase and for the liquid phase. Heat transfer is based on conduction and convection (with both latent and sensible heat considered). Sensible heat transfer occurs in both vapor and liquid phases. The solute transfer equation describes the movement of noninteracting solutes. The theory considers solute transport associated with the movement of liquid water, with ionic diffusion and hydrodynamic dispersion, and in response to temperature gradients and salt sieving.