The mechanisms responsible for ice propagation on surfaces undergoing dropwise condensation have been determined and characterized. Based on experimental data acquired non-invasively with high speed quantitative microscopy, the freezing process was determined to occur by two distinct mechanisms: inter-droplet and intradroplet ice crystal growth. The inter-droplet crystal growth mechanism was responsible for the propagation of the ice phase between droplets while the intra-droplet crystal growth mechanism was responsible for the propagation of ice within individual droplets. The larger scale manifestation of these two mechanisms cooperating in tandem was designated as the aggregate freezing process. The dynamics of the aggregate freezing process were characterized in terms of the substrate thermal di usivity, the substrate temperature, the free stream air humidity ratio, and the interfacial substrate properties of roughness and contact angle, which were combined into a single surface energy parameter. Results showed that for a given thermal di usivity, the aggregate freezing velocity increased asymptotically towards a constant value with decreasing surface temperature, increasing humidity, and decreasing surface energy. The inter-droplet freezing velocity was found to be independent of substrate temperature and only slightly dependent on humidity and surface energy. The intra-droplet freezing velocity was determined to be a strong function of substrate temperature, a weaker function of surface energy, and independent of humidity. From the data, a set of correlational models were developed to predict the three freezing velocities in terms of the independent variables. These models predicted the majority of the measured aggregate, inter- and intra-droplet freezing velocities to within 15%, 10%, and 35%, respectively. Basic thermodynamic analyses of the inter- and intra-droplet freezing mechanisms showed that the dynamics of these processes were consistent with the kinetics of crystal growth from the vapor and supercooled liquid phases, respectively. The aggregate freezing process was also analyzed in terms of its constituent mechanisms; those results suggested that the distribution of liquid condensate on the surface has the largest impact on the aggregate freezing dynamics.

Το θειικό βάριο είναι ένα κρυσταλλικό στερεό το οποίο απαντάται ως ορυκτό. Οι χρήσεις του στην βιομηχανία είναι πολλές, καθώς χρησιμοποιείται σε ένα ευρύ φάσμα εφαρμογών από την κατασκευή πυράντοχων βαφών έως την βιομηχανία παραγωγής πετρελαίου για την αποφυγή αύξησης της πίεσης κατά την διάρκεια των γεωτρήσεων. Ωστόσο, κατά τη χρήση του στην άντληση πετρελαίου, η χρήση του έχει ως αποτέλεσμα το σχηματισμό επικαθίσεων οι οποίες είναι δύσκολο να απομακρυνθούν λόγω της μικρής τους διαλυτότητας. Για την απομάκρυνση των επικαθίσεων θειικού βαρίου δεν είναι δυνατόν να χρησιμοποιηθούν κοινά οξέα, καθώς το θειικό βάριο αφενός είναι δυσδιάλυτο σε αυτά αλλά παράλληλα δημιουργούν σοβαρά προβλήματα διάβρωσης του εξοπλισμού (σωληνώσεις, reservoir αποθήκευσης νερού). Για την αντιμετώπιση των καθαλατώσεων αυτού του είδους, χρησιμοποιούνται υδατοδιαλυτές ενώσεις οι οποίες προστίθενται στα ρευστά στα οποία λαμβάνει χώρα καταβύθιση του θειικού βαρίου και έχουν την ικανότητα να παρεμποδίσουν ή να επιβραδύνουν το σχηματισμό του θειικού βαρίου. Ενώσεις αυτού του τύπου είναι οι πολύ-φωσφονικές, πολυηλεκτρολύτες όπως τα πολύ-καρβοξυλικά, πολυσουλφονικά οξέα κ.τ.λ., με ορισμένες από αυτές να είναι αρκετά δραστικές και να μπορούν να περιορίσουν σε μεγάλο βαθμό τον σχηματισμό επικαθίσεων του θειικού βαρίου. Στην παρούσα εργασία μελετήθηκε η κινητική της καταβύθισης του θειικού βαρίου σε υδατικά υπέρκορα διαλύματά του, στα οποία η αναλογία πλεγματικών ιόντων Ba:SO4 1:1 στους 25οC, απουσία και παρουσία πρόσθετων. Πραγματοποιήθηκαν πειράματα αυθόρμητης καταβύθισης για την εύρεση του εύρους της μετασταθούς ζώνης με την τεχνική “free drift”. Από την συσχέτιση του χρόνου επαγωγής που μετρήθηκε, συναρτήσει του υπερκορεσμού και βάσει της κλασσικής θεωρίας της πυρηνογένεσης υπολογίσθηκε ότι η επιφανειακή ενέργεια του θειικού βαρίου ήταν 17,4 mJ•m-2. Η τιμή αυτή, η οποία είναι σημαντικά διαφορετική από τις τιμές οι οποίες αναφέρονται στην βιβλιογραφία, αντανακλά τη σημασία του τρόπου παρασκευής των υπέρκορων διαλυμάτων στις μετρήσεις αυτές. Στη σταθερή περιοχή των υπέρκορων διαλυμάτων, και προκειμένου να διερευνηθεί ο μηχανισμός κρυσταλλικής ανάπτυξης του θειικού βαρίου, έγινε σειρά πειραμάτων στα οποία μετρήθηκε ο ρυθμός κρυσταλλικής ανάπτυξης του θειικού βαρίου σε κρυσταλλικά φύτρα θειικού βαρίου. Στα υπέρκορα διαλύματα, η αναλογία πλεγματικών ιόντων Ba:SO4 1:1 στους 25oC. Οι μετρήσεις αυτές πραγματοποιήθηκαν με την τεχνική διατήρησης σταθερού του υπερκορεσμού κατά την διάρκεια της καταβύθισης. Ως παράμετρος παρακολούθησης της εξέλιξης της κρυσταλλικής ανάπτυξης χρησιμοποιήθηκε η ειδική αγωγιμότητα των υπέρκορων διαλυμάτων, η οποία εμετρείτο με τον αντίστοιχο αισθητήρα, το σήμα από τον οποίο, ενεργοποιούσε αυτόματο τιτλοδότη για την προσθήκη αντιδραστηρίων κατάλληλης συγκέντρωσης. Οι μετρήσεις του ρυθμού κρυσταλλικής ανάπτυξης έδειξαν παραβολική εξάρτηση από τον υπερκορεσμό των αντίστοιχων διαλυμάτων ενώ δεν παρουσιάστηκε εξάρτηση του ρυθμού από την συγκέντρωση των φύτρων για τις συγκεντρώσεις κρυστάλλων μεταξύ 0,026 – 0,19 mg.L. Η εξάρτηση του ρυθμού κρυσταλλικής ανάπτυξης του θειικού βαρίου από τον υπερκορεσμό των αντίστοιχων διαλυμάτων έδειξε ότι ο μηχανισμός καθορίζεται από την επιφανειακή διάχυση των δομικών μονάδων. Οι αναστολείς που χρησιμοποιήθηκαν για την μελέτη στην επίδραση της παρουσίας τους στα υπέρκορα διαλύματα στο ρυθμό της κρυσταλλικής ανάπτυξης φύτρων θειικού βαρίου ήταν το βενζοϊκό- 1,3,5 τρις φωσφονικό οξύ (BTP) και το άμινο τρις-μεθυλενοφωσφονικό οξύ (AMP). Η κυριότερη διαφορά των δυο ενώσεων έγκειται στη μοριακή τους γεωμετρία: Το πρώτο χαρακτηρίζεται από σχετική ακαμψία των δεσμών ενώ το δεύτερο από ευκινησία . Κατά τη διάρκεια των πειραμάτων αυτών διαπιστώθηκε ότι η παρουσία των αναστολέων στα υπέρκορα διαλύματα είχε σημαντική επίδραση (αύξηση) στη διαλυτότητα του θειικού βαρίου, ενώ ταυτόχρονα παρατηρήθηκε μείωση των ρυθμών κρυσταλλικής ανάπτυξης. Το AMP βρέθηκε ότι ήταν περισσότερο αποτελεσματικό στην αναστολή της καταβύθισης του θειικού βαρίου, προκαλώντας μείωση στο ρυθμό σε ποσοστό μεγαλύτερο του 90% σε συγκεντρώσεις της τάξης των 30 ppm. Το BTP ήταν και αυτό αρκετά αποτελεσματικό, παρατηρήθηκε όμως ότι η αποτελεσματικότητα της παρουσίας του ήταν αρκετά υψηλή (>50%) σε χαμηλές (10 ppm) και σε υψηλές συγκεντρώσεις (>50 ppm) συγκεντρώσεις, ενώ στις ενδιάμεσες συγκεντρώσεις η αποτελεσματικότητά του ήταν σημαντικά μικρότερη. Επιπλέον, το AMP είχε ανασταλτική δράση στο ρυθμό καταβύθισης του θειικού βαρίου τόσο σε αλκαλικές (pH=9,5) όσο και σε όξινες (pH=3,6) τιμές pH στα υπέρκορα διαλύματα. Η αποτελεσματικότητα του AMP ήταν αρκετά υψηλή, μεγαλύτερη από 70%, σε συγκεντρώσεις >30 ppm. / Barium sulfate is a crystalline solid encountered as mineral and precipitated in numerous applications from analytical chemistry to the of fire resistant paints up to the oil industry to avoid the pressure increase during the drilling. However, in oil industry form deposits which are difficult to remove due to the low solubility. The removal of barium sulfate scale deposits is not possible through the use of common acids, because the solubility of this salt does not change significantly with increasing acid concentration. Moreover the use of mineral acids result in the severe corrosion of the metal parts of the equipment involved (pipes, water storage reservoir). Alternative descaling and scale prevention techniques have been desighed and are widely applied. In these techniques, a number of compounds have been used which, when added at very low concentrations in scale prone aquatic media result in the inhibition or cancellation of the formation of barium sulfate scale deposits. In these compounds which include poly-phosphonates or polyelectrolytes with sulfonated or carboxyl functional groups, have shown impressive results. The issue of structure of the additive molecules both in solution but most important upon adsorption on the surface of the nuclei of the crystalline deposit forming under the favorable friving force created by the solution supersaturation, is very important for obtaining a better understanding of the factors underlying the efficiency of inhibition of inorganic scale formation. In the present work, we investigate the kinetics of precipitation of barium sulfate from supersaturated solutions both in the absence and in presence of additives was investigated. The kinetics of crystal growth were investigated using the seeded growth techiwue at sustained supersaturation. The molar ratio of total barium : sulfate (Ba:SO4) in the supersaturated solutions was 1:1 and all experiments were done at 25oC in the absence and presence of additives. The width of the metastable zone for the barium sulfate system was determined from spontaneous precipitation experiments involving unstable supersaturated solutions with the “free drift” technique. From the dependence of the inhibition times preceding precipitation on the solution supersaturation and using the classical nucleation theory (CNT) models the surface energy of the precipitated phase was estimated. The kinetics of crystallization of barium sulfate were investigated in stable supersaturated solutions which were seeded with well-aged and characterized barium sulfate crystals prepared from slow mixing of equimolar barium chloride and sodium sulfate solutions. The molar ratio Ba:SO4 was in these experiments 1:1. The rates of crystal growth were measured at conditions of constant supersaturation using a specific conductivity probe, which through the synchronized burettes of an automatic titrator triggered the addition of equimolar barium chloride and sodium sulfate solutions. The added titrants had the appropriate composition to compensate for the respective quantities transferred to the solid phase forming. The rate of titrants addition yieleded the rates of crystal growth at the respective conditions. The measured crystal growth rates showed parabolic dependence on the solution supersaturation suggesting the prevalence of a surface diffusion controlled mechanism. Moreover, the independence of the measured crystal growth rates (moles precipitated per unit time and seed crystals surface area) on the mass of the seed crystals. Confirmed that crystal growth took place exclusively on the seed crystals. The effect of the presence of benzene-1,3,5-triyltris phosphonic acid (BTP) and amino-tris(methylenephosphonic) acid (AMP) in the supersaturated solutions on the rates of crystal growth of barium sulfate was investigated by measurements of the respective crystal growth rates at sustained supersaturation as in the additives free solutions. The main structural difference of the two molecules tested is that the former has a flat conformation because of the aromatic ring while the latter has a significantly higher freedom of motion. The presence of the test additives in the supersaturated solutions had a significant effect on the solubility of barium sulfate. The modified solubilities were calculated from measurements of the concentrations of free Ba2+ and SO42- ions concentrations and solution supersaturations were calculated accordingly. The presence of the test additives resulted in the significant reduction of the respective crystal growth rates. The presence of AMP in the ssupersaturated solutions caused reduction of the crystal growth rates as high as 90% at 30 ppm. BTP was efficient as well in inhibiting barium sulfate crystallization. However, it was found that rates were reduced by more than 50% at concentrations as low as 10 ppm and high concentrations in the range of 50 ppm. At intermediate concentration (20-30 ppm) the efficiency of BTP in the reduction of crystal growth of barium sulfate was significantly lower. AMP inhibited barium sulfate scale not only at alkaline pH (pH=9,5) values and at acidic values (pH=3,6). At pH=3,6 and for AMP conentrations of 30 ppm the rates of crystal growth of barium sulfate were reduced by 70% with respect to the values in its absence.

Proteins are important biological products with unique functions, annually produced at the hundreds of millions of dollars value on a worldwide basis. The application of crystallization for these materials primarily was led by structural biologists and crystallographers who are keen on obtaining large and well-ordered crystals for protein structure determination via X-ray diffraction. Usually for this, crystallization is done on a small scale by vapor diffusion using a supersaturated solution of the material. In the past decades, production crystallization has slowly received increasing attention for the large-scale recovery of proteins. Among the numerous products, an industrial enzyme (alpha-amylase) that is extensively involved in food processing and laundry products was chosen for examination due to the lack of relevant data in the literature and the potential industrial interest in crystallizing this material. The chosen alpha-amylase is a product of Genencor International (the Danisco division) and is derived from a genetically modified Bacillus licheniformis. In parallel to the underlying principles that govern the bulk crystallization of small molecules, the broad topics of investigation for this macromolecular material included determination of solubility, studies of nucleation thresholds, and investigation of crystal growth kinetics and special phenomena accompanying the crystallization process. All these studies were preceded by a series of characterization tests conducted for the material. On the whole, this study aimed to extend the existing fundamental knowledge of bulk crystallization for biological macromolecules. Specifically, it intended to enrich the solubility and crystallization kinetic data for the alpha-amylase. The experimental data of this study were all obtained at conditions in line with industrial practice, which included the use of moderate temperatures, mild pH conditions and simple inorganic salts ((NH4)2SO4, Na2SO4 and NaCl) in order for the findings to be transferred to the industry directly. In a 20 mM sodium phosphate buffer (with no added salts), alpha-amylase solubility increased with solvent temperature and had a minimum at pH between 6.4 and 7.1. A generalized equation (as a function of pH and temperature) was obtained to correlate the data. The three inorganic salts examined affected the alpha-amylase solubility in a different manner, both qualitatively and quantitatively. Evidently, the interaction effect of a salt varied with solution pH. This confirms the importance of studying solubility with the two or more condition parameters at the same time. With relevance to crystal growth, the metastable region of the material was relatively wide at (NH4)2SO4 and Na2SO4 concentrations corresponding to maximum solubility. For example, σSNT was 1.2  0.2 in solutions with 5 wt% ammonium sulfate at pH 7.0 and 25oC. A wide metastability range is useful for the practical operation of batch crystallizers as nucleation can be minimized. This range, however, diminished as the salt concentration increased beyond the maximum solubility points, imposing a limit on the range of salt concentration favorable for growth processes. In systems with no added salts at pH 7.0, the solution metastability was slightly higher at 10oC than at 40oC. This would suggest a future further examination of the salt system at a lower temperature, say of 10oC. To develop a batch crystallizer, the growth kinetic data of the material have to be known. Throughout the growth studies, the alpha-amylase crystals obtained were lozenge-shaped thin plates. Apparently, habit was not influenced by the crystallization conditions chosen. Similar to other proteins crystallized in bulk, the growth rate of alpha-amylase demonstrated a second-order dependence upon supersaturation. Importantly, the alpha-amylase demonstrated crystal growth rate dispersion (GRD) under all the conditions tested. To simplify the analysis of growth kinetic results, the seed crystals used were common history (CH) seeds whose growth rates are proportional to their sizes. The spread of growth rates (CV) was 0.54 for the unsieved CH seeds used. Due to GRD, growth rate coefficient data varied with crystal size. For instance, in solutions containing 5 wt% ammonium sulfate at pH 7.0 and 25oC, the growth rate coefficient for seed crystals initially at 20 m was 2.47 m/hr. This order of magnitude was equivalent to that of many other proteins. Although being small, industrial crystallization was feasible with these kinetics, as demonstrated by the sample design calculations included. To improve the design, it is recommended to further examine the solubility, metastability and growth kinetics of the above system at other temperatures to obtain a wider growth rate range. As the important phenomenon of growth rate dispersion has seldom been examined for protein and enzyme materials in the crystallization literature, this study is a significant contribution to this area.