Chemical Engineering and Processing: Process Intensification
Kinetics of melt crystallization of organic eutectic forming binary mixtures in non-flow systems
Introduction
Melt crystallization is a process for the separation of a binary mixture of organic compounds. It is the process where a molten mixture is cooled to a little below its freezing point when some of the material solidifies. In binary mixtures, that form a eutectic, this will be a pure component. The remaining melt, called the residue, will contain some of the unsolidified pure (desired) component. The purified product is recovered by separating the solid from the residue and remelting it. It is an attractive method for separation of binary organic mixtures where the boiling points of the two components are very close to each other and distillation is not so easy. This is distinct from the solid solution systems where the phase diagram is similar to the vapor liquid equilibrium diagram of ideal systems. Unlike the eutectic forming systems, the crystal phase growing in equilibrium with the liquid of a given composition is not a pure substance and hence multistage operations are required to attain high purities.
Wynn [1] has classified melt crystallization processes into two categories — suspension processes and progressive freezing. In suspension processes the crystals are suspended in the melt and the density difference between crystals and melt causes a relative counter-current motion between the two. Progressive freezing, a technique unique to melt crystallization, involves the growth of the crystal layer on a cold surface immersed in the melt. The rather limited literature on melt crystallization has been reviewed by Ulrich [2] and Rittner and Steiner [3].
The kinetics of melt crystallization (rate of crystal growth) is a basic characteristic of the process. The present study focuses on the separation of binary organic eutectic mixtures by melt crystallization in non-flow or stagnant systems. The experimental data obtained in the present study is used to examine the effect of subcooling, superheating and the initial concentration of the melt on the crystal growth rates. The experimental data was also used to develop empirical correlations for estimating the melt crystallization kinetics. The experimental results are also examined using a model from the literature based on heat and mass transfer theory.
Fig. 1 shows the phase change diagram of binary organic eutectic forming mixtures. If the initial composition of the melt is below the eutectic point, as it cools, it will reach the liquidus line when pure naphthalene (in the benzene–naphthalene system shown in Fig. 1a) will crystallize out. As further cooling proceeds the composition will move along the liquidus line, while pure naphthalene continues to crystallize out, until the eutectic point is reached. At this point no more separation is possible and the solid forming will be a mixture of the binary at the eutectic composition. Similar behavior is observed with other two systems.
Section snippets
Experimental
The experimental set-up consists of a test section and two auxiliary devices. These auxiliary devices are a circulating cooling bath with a temperature controller and a power supply unit. The test section is a vertical glass cylinder covered with a 50-mm-thick styrofoam insulation. The insulation could be easily removed to facilitate the visual observation of crystallization process as and when required. The plate at the bottom which serves as the heat transfer surface is made of brass and was
Morphological stability
The subcooling, Tl(C0)−Tw, used in the experiments was carefully controlled to ensure a flat and planar surface. The surface temperature has to be kept below the crystallization temperature of the desired component but above that of the other component and well above the eutectic temperature of the binary mixture. This helps in the preferential crystallization of one component alone without freezing of the undesired component entrapped within the crystal interstices. Furthermore, the
Transient crystal height
Using the experimental data on the kinetics of crystallization from the present study, the solid–liquid phase equilibrium data, the transport and thermodynamic properties of the binary melt, a correlation in non-dimensional form for the height of the crystallized solid (transient crystal growth) for eutectic forming binary organic mixtures for low subcoolings (also called undercooling) has been developedwhere, Ste, Ste* and C0′ are the Stefan number, a
Theoretical analysis of experimental data
Consider a binary melt of sub-eutectic composition at a temperature above its equilibrium temperature at that composition in a cylindrical container as used in the experimental part of this study and described earlier. The co-ordinates of the physical system are shown in Fig. 8. It is assumed that the solid/melt interface remains flat and parallel to the bottom surface. The transport of heat and solute takes place by molecular diffusion only. Heat is conducted through the liquid melt towards
Summary
The crystallization of a sub-eutectic binary mixture has been studied both experimentally and analytically. Under the conditions investigated, the systems were thermally stable and buoyancy induced motion in the melt zones was not noticed. The crystal/melt interface was flat, planar and morphologically stable. A one-dimensional moving boundary model for the solidification of pure substances from the literature was used to describe the process. In comparison to the experimental data, it was
Nomenclature
C composition of the melt (mol%) Cp specific heat (J/(kg K)) D mass diffusivity (m2/s) F parameter in Eq. (21) (−) Gr Grashof number (heat transfer), gβ′R3(Ti−Tbl)/ν2 (−) Gr′ Grashof number (mass transfer), gα′R3(xi−xbl)/ν2 (−) k thermal conductivity (W/(m K)) l height of melt (initial) (m) Pe Peclet number (defined by Eq. (7)) (−) Pr Prandtl number, ν/α (−) R radius of the cylinder (m) R′ pseudo steady state velocity of the interface (m/s) s height of the interface (m) S dimensionless height of the interface (m) Sc
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