Solidification of Binary Mixture in a Finite Planar Medium: Saline Water

Kehtarnavaz, H.; Bayazıtoğlu, Yıldız

doi:10.1115/1.3247529

Cited by 7 publications

(1 citation statement)

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“…Crank, 1956) diffusion problems with a moving boundary. With respect to the simultaneous solution of heat and mass diffusion as is necessary for describing the freezing of saline solutions, however, the available literature is rather limited: in two cases (O'Callaghan, 1978;Kehtarnavaz & Bayazitoglu, 1985), parabolical approximations were used for the temperature profiles; Levin took into account forced convection due to the change in density between ice and liquid but assumes constant supercooling (Levin, 1980) or linear temperature distributions (Levin, 1981a), respectively;Rubinsky (1983) determines the thermal profiles without further assumptions but uses a linear approximation for describing the liquidus curve. The treatment given below will hence follow the approach taken by which does not contain this limitation and seems most appropriate for the situation of special interest here, i.e.…”

Section: Heat and Mass Diffusion Modelsmentioning

confidence: 99%

Phenomena at the advancing ice–liquid interface: solutes, particles and biological cells

Körber

1988

Quart. Rev. Biophys.

136

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Ice formation in aqueous solutions and suspensions involves a number of significant changes and processes in the residual liquid. The resulting effects were described concerning the redistribution of dissolved salts, the behaviour of gaseous solutes and bubble formation, the rejection and entrapment of second-phase particles. This set of conditions is also experienced by biological cells subjected to freezing. The influences of ice formation in that respect and their relevance for cryopreservation were considered as well. A model of transient heat conduction and solute diffusion with a planar ice front, propagating through a system of finite length was found to be in good agreement with measured salt concentration profiles. The spacing of the subsequently developing columnar solidification pattern was of the same order of magnitude as the pertubation wavelengths predicted from the stability criterion. Non-planar solidification of binary salt solutions was described by a pure heat transfer model under the assumption of local thermodynamic equilibrium. The rejection of gaseous solutes and the resulting gas concentration profile ahead of a planar ice front has been estimated by means of a test bubble method, yielding a distribution coefficient of 0.05 for oxygen. The nucleation of gas bubbles has been observed to occur at slightly less than 20-fold supersaturation. The subsequent radial growth of the bubbles obeys a square-root time dependence as expected from a diffusion controlled model until the still expanding bubbles become engulfed by the advancing ice-liquid interface. The maximum bubble radii decrease for increasing ice front velocities. The transition between repulsion and entrapment of spherical latex particles by an advancing planar ice-front has been characterized by a critical value of the velocity of the solidification interface. The critical velocity is inversely proportional to the particle radius as suggested by models assuming an undisturbed ice front. The increase of the critical velocity for increasing thermal gradients shows good agreement with a theoretically predicted square-root type of dependence. Critical velocities have also been measured for yeast and red blood cells. The effect of freezing on biological cells has been analyzed for human lymphocytes and erythrocytes. The reduction of cell volume observed during non-planar freezing agrees reasonably well with shrinkage curves calculated from a water transport model. The probability of intracellular ice formation has been characterized by threshold cooling rates above which the amount of water remaining within the cell is sufficient for crystallization.(ABSTRACT TRUNCATED AT 400 WORDS)

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