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the performance of traditional advection-dispersion equation and mobile-immobile model for simulating solute

Haizhu HU,Xiaomin MAO

《农业科学与工程前沿（英文）》 2016年第3卷第3期页码 241-248 doi: 10.15302/J-FASE-2016108

摘要： The traditional advection-dispersion equation (ADE) and the mobile-immobile model (MIM) are widely used to describe solute transport in heterogeneous porous media. However, the fitness of the two models is case-dependent. In this paper, the transport of conservative, adsorbing and degradable solutes through a 1 m heterogeneous soil column under steady flow condition was simulated by ADE and MIM, and sensitivity analysis was conducted. Results show that MIM tends to prolong the breakthrough process and decrease peak concentration for all three solutes, and tailing and skewness are more pronounced with increasing dispersivity. Breakthrough curves of the adsorbing solute simulated by MIM are less sensitive to the retardation factor compared with the results simulated by ADE. The breakthrough curves of degradable solute obtained by MIM and ADE nearly overlap with a high degradation rate coefficient, indicating that MIM and ADE perform similarly for simulating degradable solute transport when biochemical degradation prevails over the mass exchange between mobile and immobile zones. The results suggest that the physical significance of dispersivity should be carefully considered when MIM is applied to simulate the degradable solute transport and/or ADE is applied to simulate the adsorbing solute transport in highly dispersive soils.

关键词： solute transport advection dispersion equation (ADE) mobile-immobile model (MIM) conservative solute adsorbing solute degradable solute PHREEQC-2

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Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder

Swati Mukhopadhyay

《化学科学与工程前沿（英文）》 2011年第5卷第3期页码 385-391 doi: 10.1007/s11705-011-1101-4

摘要： This paper presents the distribution of a solute undergoing a first order chemical reaction in an axisymmetric laminar boundary layer flow along a stretching cylinder. Velocity slip condition at the boundary is used instead of no-slip condition. Similarity transformations are used to convert the partial differential equations corresponding to momentum and concentration into highly nonlinear ordinary differential equations. Numerical solutions of these equations are obtained by the shooting method. The velocity decreases with increasing slip parameter. The skin friction as well as the mass transfer rate at the surface is larger for a cylinder than for a flat plate.

关键词： boundary layer stretching cylinder partial slip mass transfer similarity solution

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Magnetohydrodynamic slip flow and diffusion of a reactive solute past a permeable flat plate with suction

Krishnendu BHATTACHARYYA, G. C. LAYEK

《化学科学与工程前沿（英文）》 2011年第5卷第4期页码 471-476 doi: 10.1007/s11705-011-1130-z

摘要： The magnetohydrodynamic (MHD) boundary layer slip flow and solute transfer over a porous plate in the presence of a chemical reaction are investigated. The governing equations were transformed into self-similar ordinary differential equations by adopting the similarity transformation technique. Then the numerical solutions are obtained by a shooting technique using the fourth order Runge-Kutta method. The study reveals that due to the increase in the boundary slip, the concentration decreases and the velocity increases. On the other hand, with an increase in the magnetic field and mass suction, both boundary layer thicknesses decreased. As the Schmidt number and the reaction rate parameter increases, the concentration decreases and the mass transfer increases.

关键词： slip flow MHD boundary layer reactive solute diffusion flat plate suction/injection

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Lithium-based draw solute for forward osmosis to treat wastewater discharged from lithium-ion battery

《化学科学与工程前沿（英文）》 2022年第16卷第5期页码 755-763 doi: 10.1007/s11705-022-2137-3

摘要： As draw solute is the core element of forward osmosis (FO) technology, here Li-Bet-Tf₂N synthesized from a customized ionic liquid betainium bis(trifluoromethylsulfonyl)imide ([Hbet][Tf₂N]) and Li₂CO₃ recovered from lithium-ion battery (LIB) wastes is proposed as a novel draw solute to treat Li⁺-containing wastewater from LIB manufacturing through FO filtration. Having high dissociation ability and an extended structure, Li-Bet-Tf₂N generates a sufficiently high osmotic pressure to drive the FO filtration efficiently along with insignificant reverse solute diffusion. Li-Bet-Tf₂N produces a water flux of 21.3 L·(m²·h)⁻¹ at 1.0 mol∙L^–1 against deionized water, surpassing conventional NaCl and MgCl₂ draw solutes with a higher water recovery efficiency and a smaller solute loss. Li-Bet-Tf₂N induces a more stable and higher water permeation flux with a 10.0% water flux decline than NaCl and MgCl₂ for which the water fluxes decline 16.7% and 16.4%, respectively, during the treatment of 2000 mg∙L^–1 Li⁺-containing wastewater for 12 h. More remarkably, unlike other draw solutes which require intensive energy input and complicated processes in recycling, Li-Bet-Tf₂N is easily separated from water via solvent extraction. Reproducible results are achieved with the recycled Li-Bet-Tf₂N. Li-Bet-Tf₂N thus demonstrates a novel class of draw solute with great potentials to treat wastewater economically.

关键词： forward osmosis lithium-ion battery draw solution lithium-containing wastewater water treatment