U. Hartmann

Investigation of the behavior of dissolved gases during freezing

Abstract This paper deals with the freezing process of aqueous solutions of gases and the nucleation of gas bubbles at the moving ice—water interface. A cryomicroscope was used to investigate the conditions of nucleation and growth of bubbles after reaching a stationary concentration profile ahead of the phase boundary. The enrichment of gases due to the distribution coefficient was detected by means of a test bubble method, i.e., the increase in the radius of a small bubble being approached by the ice front. A distribution coefficient of 0.048 (at 0 °C) was found for oxygen. Nucleation occurs when stationary growth conditions in the solution are reached. The measured oversaturation is close to 20, i.e., about the inverse of the distribution coefficient. In highly saturated gas solutions, dendritic breakdown of the planar ice-water interface due to gas enrichment could be observed. At these positions also a considerable degree of constitutional supercooling was found. Bubbles were nucleated in interdendritic spaces. Nucleation and growth of gas bubbles was seen to be a periodic process under certain circumstances which can be explained by the continuous buildup and reduction of the concentration field in the remaining solution. The growth kinetics of the bubbles and their maximum size are governed by the velocity of the ice-water interface. During growth the gas bubbles are pushed and partially encapsulated, until they reach a radius in the order of magnitude of the diffusion boundary layer of the concentration profile, and become totally engulfed by the solid phase.

Determination of the permeability of human lymphocytes with a microscope diffusion chamber

A diffusion chamber similar to that proposed by J.J. McGrath (J. Microsc., in press) was constructed which allows microscopic observation of osmotically induced volume changes of individual cells in small (microliter) sample volumes. The cells are kept fixed in position in the upper compartment of the chamber by means of a highly permeable membrane and exposed to a step-like change in concentration generated in the lower compartment. An electrical conductivity probe in the upper compartment was used to monitor the temporal change of salt concentration as experienced by the cells. The rise from isotonic to hypertonic can be approximated by an exponential function. Its time constant of tau = 2.08 sec seems to be mainly determined by the change in flushing solution as tau = 1.48 sec was measured with no membrane installed. With human lymphocytes, no loss of cell volume was detected before 5 sec, i.e., when 95% of the final concentration was reached extracellularly. A step change can hence be assumed when modeling exosmosis for determining the lymphocyte membrane permeability. The equations for coupled transport of water and salt were solved numerically and fitted to the experimental data. The results were also compared to various other transport models described in the literature. Human lymphocytes are almost ideally semipermeable with a hydraulic reference permeability of Lp = 4.23 X 10(-4) cm/sec (3.13 X 10(-3) micron X atm-1 X sec-1) at T = 23 degrees C. The temperature and concentration dependence are described by an activation energy Ea = 14.3 kJ/mol and a concentration coefficient alpha 2 = 0.261 osmol/kg. An osmotically inactive volume fraction of 36.9% was determined from the final cell volumes reached asymptotically after shrinkage.

On morphological stability of planar phase boundaries during unidirectional transient solidification of binary aqueous solutions

Abstract This paper deals with the stability of planar phase boundaries during transient solidification of binary aqueous solutions and raises the question of the time and wavenumber characterizing t he breakdown of the phase boundaries in these solidification processes. In the first part a linear stability analysis is performed. The central result of this analysis is a dynamical stability criterion that fixes the time of first marginal instability. This criterion is an equivalent formulation to the well-known Mullins-Sekerka criterion, that enables the specific wave number of the first instability to be calculated. In the second part of this paper these criteria are used to determine the breakdown of planar phase boundaries in a special transient freezing situation of an isotonic aqueous solution of sodium chloride.