Academic literature on the topic 'Sublimation pressure'

The authors presented in the article an analytical model of superplastic forming of spherical shells by pressure of the gas (gaseous phase) created upon sublimation of sublimate agent. Sublimate was placed in a hermetic cavity between the workpiece and the presser cover and heated to the temperature of its sublimation. The model uses the Berthelot equation for the state of real gases, the Bernoulli relation, and the F. Jovane equations for adjusting the shell forming pressure as a function of its relative height, the heat balance equation for the sublimation process, and the Clausius-Clapeyron relation for sublimation of substances. The authors showed that the superplastic forming pressure control can be effectively applied by the way of change in the forming temperature relative to temperature of sublimate agent sublimation. The experimental results of forming of shells from aluminum alloys AlMg3Mn, AlMg5Mn and AlMg6Mn, confirming theoretical calculations of the velocity and temperature conditions of superplastic forming by the sublimating agent pressure.

Abstract Initial ice particle sublimation data are presented from the new Levitating Upper-Tropospheric Environmental Simulator (LUTES) at The College of New Jersey. This experimental system mimics the conditions of a typical cirrus cloud in order to evaluate the phase-change kinetics of single ice particles. These ice particles are charged and then trapped in a levitating electrodynamic balance where they can be observed as they sublimate in a subsaturated atmosphere. Levitation and sublimation take place within a vacuum chamber, which is contained in a freezer at a temperature of −40° to −80°C and is capable of a reduced pressure of 10 mb. The sublimation rates of the ice particles are observed at a variety of temperature, humidity, and pressure conditions and are compared to sublimation rates predicted by particle-scale diffusion models. Initial measurements suggest that the diffusion models are capturing the essential sublimation behavior of the particles, but further measurements promise to inform lingering questions about the fundamental thermodynamics and surface processes of sublimating and growing ice particles under cirrus conditions.

AbstractSnow sublimation is a fundamental process that affects the snow crystal structure and is important for ice-core interpretation, remote sensing, snow hydrology and chemical processes in snow. Prior studies have shown that sublimation can change the isotopic content of the remaining snow; these studies have inferred sublimation rates using field data, and were unable to control many of the environmental parameters that determine sublimation rate (e.g. temperature, relative humidity, snow microstructure). We present sublimation rate measurements on snow samples in the laboratory, where we have controlled many of these parameters simultaneously. We use the same experimental apparatus to determine sublimation rate, investigate the isotopic effects of sublimation, and study the isotopic exchange between vapor and solid. Our results suggest that pore spaces in snow are almost always at saturation vapor pressure; undersaturation may be possible in large pore spaces or in regions of rapid interstitial airflow. We present a revised formulation for determining the mass-transfer coefficient for snow as a linear function of Reynolds number (hm = 0.566Re + 0.075), estimate the fractionation coefficient for sublimating snow, and provide evidence for isotopic exchange between vapor and solid.

We study the steady-state hydrodynamic lubrication of a solid-solid sliding bearing with spontaneous fusion or sublimation of the solid slider substance. Lubrication is sustained by the fluid film produced by fusion or sublimation. Our analysis extends the recent literature on liquid film lubrication of a melting solid slider to the interesting case of gaseous film lubrication of a sublimating solid slider. The results are in the form of analytical expressions showing the explicit influence of every parameter of the problem, together with conditions specifying the range of validity, and conditions guaranteeing that fusion or sublimation develop the necessary supply of lubricant. For substances like water and bismuth that contract upon melting, we extend the results to the interesting range of conditions dominated by the effect of pressure on the melting temperature.

The saturated vapor pressures of tetraphenylporphyrin H 2 TPP , its four-coordinated metallo-complexes MTPP ( M ≡ Ni , Cu , Zn , Pd , Ag , Cd ) and some phenyl-substituted derivatives H 2 T ( R ) PP ( R ≡ 2-, 3-, 4- CH 3; 2-, 4- F ; 2-, 3-, 4- Cl ; 3-, 4- Br ; 3,5- C ( CH 3)3) have been measured using the inert gas flow method. The values of sublimation enthalpy Δ sub H m and entropy Δ sub S m are calculated. On the basis of the kinetic vapor pressure dependence, the start temperatures of thermal destruction of the investigated porphyrins are determined. The temperatures of melting of the tetraphenylporphyrin metallo-complexes measured by the DSC method are in linear correlation with the Δ sub H m values. The correlation between the thermodynamic functions of porphyrin sublimation (Δ sub H m , Δ sub S m , Δ sub G m ) and the literature data on the crystal structure of the compounds is considered. The Δ sub H m values obtained by some authors by different methods are compared with the results of our investigations. Possible reasons for discrepancies in the results are discussed.

Cette thèse porte sur l’optimisation d’un procédé de croissance, reproductible et contrôlé, d’une monocouche de graphène sur la face –Si du carbure de silicium (SiC (0001)) par sublimation sous faible pression d’argon (10 mbars). Au vue de la littérature, cette croissance à faible pression reste un challenge. Différentes techniques complémentaires telles que la spectroscopie Raman, la microscopie à force atomique, la microscopie à effet tunnel et des mesures d’effet Hall ont été menées afin de valider la croissance de la monocouche et d’en étudier sa morphologie de surface ainsi que ses propriétés structurales et électroniques. L’ensemble des résultats obtenus démontre le contrôle de la croissance d’une monocouche de graphène homogène, continue et de grande taille (6x6mm²). Plus de 50 échantillons monocouches ont été synthétisés pendant la thèse démontrant ainsi un procédé reproductible dans un bâti de croissance prototype de la société montpelliéraine Annealsys. Un mécanisme de croissance en bord de marche et la présence de marches et de terrasses a pu être mis en évidence alors que la littérature rapporte des difficultés à optimiser des procédés de croissance à basse pression d’argon. L’effet de la vitesse de montée en température a également été étudié dans le but de contrôler la morphologie du SiC de façon à pouvoir évaluer l’impact de la largeur des marches sur les propriétés électroniques du graphène. La largeur des marches obtenue (10 µm) permettront des mesures originales de transport, localisées sur une marche.Le procédé robuste et reproductible développé a permis différentes études approfondies sur ce graphène épitaxié. Sur la face-Si du SiC croît d’abord une couche tampon liée de manière covalente au SiC. Une deuxième couche tampon croît sous la première qui devient alors du graphène. Le peu de résultats présents dans la littérature nous a conduit à étudier cette couche d’interface entre le graphène et le SiC. A partir d’un nombre important de mesures par spectroscopie Raman, la signature de cette couche tampon a pu être obtenue. Un spectre Raman inhomogène de celle-ci a été mis en évidence. Pour aller plus loin, nous avons mis en œuvre deux techniques d’exfoliation du graphène pour avoir accès à la couche tampon sur SiC. Les signatures Raman des couches tampon couvertes ou non de graphène ont été analysées et comparées. Deux résultats majeurs sont à souligner : (i) l’aire du signal Raman de la couche tampon augmente après le retrait du graphène et (ii) deux pics fins sont observés seulement sur le spectre du graphène épitaxié. Ces résultats démontrent l’existence d’un couplage entre le graphène et la couche tampon.La dernière partie de ce travail de thèse concerne les propriétés électriques de ces monocouches de graphène sur SiC. Contrairement au classique dopage n du graphène épitaxié sur SiC (0001), un dopage résiduel de type p a été mesuré et attribué à un effet de l’environnement. Les impuretés chargées présentes à la surface des échantillons pourraient être à l’origine de flaques d’électrons et de trous (puddles) réparties à la surface des échantillons et responsables de leur dopage inhomogène. Ces fluctuations de potentiel ont été estimées en ajustant les données expérimentales à partir d‘un modèle mettant en jeu deux types de porteurs. De plus, nous avons pu mettre en évidence un changement de dopage d’un type p à n sous vide et sous illumination UV. La désorption d’absorbants chargés pourrait expliquer ce changement. Ces résultats démontrent une possible modulation des propriétés électriques de nos échantillons par un facteur externe tel que l’exposition aux UV
This manuscript presents a work aiming to optimize a reproducible and controlled growth process of a monolayer graphene on Si-face of SiC (SiC (0001)) by sublimation under low argon pressure, i.e. 10 mbar. This low pressure process is challenging regarding the results in the literature. Various complementary techniques as optical microscopy, Raman spectroscopy, atomic force microscope, scanning tunneling microscope, and Hall Effect measurements have been performed on the samples in order to validate the monolayer graphene growth and investigate their surface morphology, their structural and electronic properties. All the results obtained from these measurements confirm the control of homogeneous, continuous and large-size (6×6 mm²) monolayer graphene from our optimized growth process. More than 50 monolayers graphene were produced during this thesis, validating a reproducible process in a prototype furnace developed by Annealsys, local company in Montpellier. The step-flow growth mode which encourages the formation of step-terrace surface structures is obtained under this unclassical growth condition contrary as established in the literature. Moreover, we have investigated the effect of the temperature ramp on the SiC morphology to evaluate the impact of the width of the terraces on electronic properties of graphene. Samples with terraces larger than 10 µm have been obtained allowing original transport measurements localized on only one terrace.Thanks to the reproducibility of our optimized growth process, further characterization studies on epitaxial graphene were investigated. The first carbon layer grown on SiC (0001) is a buffer layer covalently linked to SiC. Then a second buffer layer grows under the first one that becomes graphene. This well-known buffer layer at graphene / SiC (0001) interface has been investigated in this thesis to complete the poor literature on this topic. Statistically buffer Raman signatures have been obtained and compared to the literature demonstrating an inhomogeneous buffer layer. Furthermore, we have developed two graphene transfer techniques aiming to exfoliate graphene layer and leave behind only the buffer layer on the sample surface. The Raman signatures of buffer layer in these two cases (with or without graphene coverage) have been compared. We believe the evidenced evolution could be related to the coupling between graphene and buffer layer. Two major results illustrate this coupling: (i) the Raman signature of buffer layer increases in integrated intensity after the graphene transfer and (ii) two fines peaks are observed only in epitaxial graphene spectra and not in uncovered buffer layer spectra.The last part of this work concerns the electrical properties of monolayer graphene on SiC (0001). Contrary to the typical n-type doping of epitaxial graphene, the low p-type residual Hall concentration observed in our samples has been related to the atmospheric effect. More precisely, the charged impurities deposited on the sample surface could lead to the formation of electron-hole puddles, resulting in an inhomogeneous doping. The potential fluctuation has been estimated by fitting the experimental data using a model of two types of charges. Moreover, we have shown that the doping type change from p-type to n-type under vacuum condition or under UV illumination. This could be explained by desorption of the charged absorbents during the pumping or UV illumination. These results demonstrate the possibility of tuning the electrical properties of our samples by external factor such as UV light

Depuis quelques années, nous assistons à une prise de conscience croissante des effets à long terme des polluants chimiques sur l'environnement et la santé humaine. Il est donc nécessaire d'étudier non seulement leurs propriétés écotoxicologiques mais également leurs propriétés physicochimiques tels que la tension de vapeur (ou volatilité) et leur solubilité dans l'eau. L'Europe, quant à elle, a introduit la réglementation REACH (Registration, Evaluation and Autorisation of CHemicals) qui est entrée en vigueur le 1 juin 2007 dont le principal objectif est une meilleure connaissance des propriétés environnementales et sanitaires des substances chimiques. De même dans l’industrie, la détermination de la tension de vapeur des corps purs est une donnée indispensable pour les opérations de purification et de séparation. Dans ce but nous avons amélioré un appareil à saturation de gaz inerte existant au laboratoire. Une fois le bon fonctionnement de l’appareil vérifié (par mesure de la tension de vapeur d’un composé de référence : le phénanthrène) nous avons étudié des n-alcanes compris entre le C30 et le C60 ainsi que 8 hydrocarbures aromatiques polycycliques dans un large domaine de température (20 à 320 °C) et de pression (10-1 Pa à 10-7 Pa). Les résultats obtenus ont été comparés avec la littérature lorsque celle-ci est disponible. La détermination des tensions de vapeur de composés inorganiques d’intérêt industriel : tétrachlorure de Zirconium (ZrCl4) et le tétrachlorure d’hafnium (HfCl4) a été également entreprise. Les résultats expérimentaux des hydrocarbures polyaromatiques nous ont permis l’amélioration d’une équation d’état cubique (dérivée de celle de Peng-Robinson) dont les paramètres sont estimés par une méthode de contribution de groupes développée par Rauzy-Coniglio. Les tensions de vapeur prédites par le modèle sont en bon accord avec les valeurs expérimentales
For a few years, we have attended an increasing importance of the long-term effects of the chemical pollutants on the environment and human health. It is thus necessary to study not only their ecotoxicological properties but also their physico-chemical properties such as the vapor pressure (or volatility) and aqueous solubility. In Addition, the introduction of the regulation REACH (Registration, Evaluation and Authorization of CHemicals) in June 2007 whose main objective is a better knowledge of the environmental and medical properties of chemical substances has increased the necessity of compound characterization. From an industrial point of view, the determination of the vapor pressure of the pure substances is an essential data in many unit operations such as purification and separation. Thus, we improved an apparatus with saturation of inert gas existing at the laboratory. Once the good performance of the apparatus checked (by measurement of the vapor pressure of a reference compound: phenanthrene) we studied N-alkanes ranging between C30 and C60 and 8 polycyclic aromatic hydrocarbons in a broad temperature range (20 to 320°C) and of pressure (10-1 Pa with 10-7 Pa). The obtained results were compared with the literature when available. In addition, determination of the vapor pressure of inorganic compounds of industrial interest : zirconium tetrachloride (ZrCl4) and the hafnium tetrachloride (HfCl4) was also undertaken. The experimental results of polyaromatic hydrocarbons have allowed us to improve a cubic equation of state (derivative of Peng-Robinson EOS) whose parameters are estimated by a method of contribution of groups developed by Rauzy-Coniglio. The predicted vapor pressures were in good agreement with the experimental values

A presença de sais no petróleo ocasiona grandes problemas operacionais relacionados à corrosão, uma vez que estes acabam formando ácido clorídrico no processo de separação do óleo bruto. Com o intuito de amenizar os efeitos de corrosão ácida, aminas podem ser adicionadas no topo das colunas para agir como neutralizantes. Porém, dependendo das condições operacionais e da quantidade de amina adicionada, pode ocorrer a deposição de cloridratos de aminas, promovendo a corrosão sob depósito. Assim, o conhecimento da pressão de sublimação desses sólidos é de extrema importância para especificar as condições de operação e o melhor desempenho destes aditivos no processo. Dentro desse contexto, o objetivo deste trabalho é determinar as pressões e entalpias de sublimação de cloridratos de aminas com a técnica termogravimétrica. Devido às dificuldades encontradas para obtenção de dados precisos de pressão em baixas temperaturas, uma extensão ao método termogravimétrico foi proposta, tornando possível medir pressões na ordem de 1 0,5 Pa. As substâncias estudadas foram: brometo de amônio, cloreto de amônio, cloridrato de etanolamina, cloridrato de metilamina, cloridrato de piridina, cloridrato de trimetilamina e dicloridrato de n-(1- naftil)etilenodiamina. Resultados de pressão e entalpia de sublimação alcançados com ácido benzoico, brometo de amônio e cloreto de amônio foram validados com dados da literatura Para os demais sólidos estudados, não há muitos dados disponíveis na literatura. No entanto, como a reação de sublimação do cloreto de amônio é análoga à dos demais cloridratos de amina, as entalpias de sublimação puderam ser comparadas e os resultados encontrados foram satisfatórios. Por fim, para uma melhor aplicabilidade dos resultados obtidos, uma equação de Clausius-Clapeyron modificada foi utilizada para correlacionar os dados medidos. Uma ótima correlação foi possível para todos os sais estudados, com coeficiente de correlação sempre superior a 0,97.
The presence of salts in petroleum causes operational problems related to corrosion, due to the fact that they end up forming hydrochloric acid in the crude oil separation process. In order to mitigate the effects of acid corrosion, amines can be added at the top of the columns to act as neutralizers. However, depending on the operational conditions and the amount of amine added, a deposition of amine hydrochlorides may occur, promoting under-deposit corrosion. Thus, the knowledge of the sublimation pressure of these salts has an extreme importance in trying to predict and to optimize the performance of the additives in the process. Within this context, the purpose of this study is to determine pressure and enthalpy of sublimation of amine hydrochlorides with the thermogravimetric technique. Due to the difficulties encountered to obtain precise pressure data at low temperatures, an extension of the thermogravimetric method was proposed, enabling to measure sublimation pressures in the order of 1 0,5 Pa. The substances studied were: ammonium bromide, ammonium chloride, ethanolamine hydrochloride, methylamine hydrochloride, pyridine hydrochloride, trimethylamine hydrochloride and n-(1-naphthyl)ethylenediamine dihydrochloride. Results of pressure and enthalpy of sublimation obtained with benzoic acid, ammonium bromide and ammonium chloride were validated using literature data. For other solids investigated in this study, experimental data is scarce in the literature. However, as the sublimation reaction of ammonium chloride is analogous to the others amine hydrochlorides, enthalpies of sublimation could be compared with the results found. Since similar values were observed, the results were considered satisfactory. Finally, the measured data were correlated using a modified Clausius-Clapeyron equation. A good correlation was possible for all salts studied, with correlation coefficient always higher than 0.97.

La détermination des propriétés physiques de l’eau pure, notamment la pression de vapeur saturante en fonction de la température, est un enjeu majeur en humidité et identifié comme tel par le Comité Consultatif de Thermométrie (CCT-WG6) sous-groupe Humidité du Comité Technique de Température (TC-T) afin d’améliorer les incertitudes des références nationales en humidité. A cette fin, le LNE-CETIAT et le LNE-Cnam ont développé conjointement un dispositif expérimental permettant d’accéder au couple température / pression de vapeur saturante de l’eau pure. Le principe est basé sur une mesure statique de la pression et de la température dans une cellule d’équilibre associée à un calorimètre quasi-adiabatique. La gamme de température d’équilibre couverte s’étend de 193,15 K à 373,15 K, correspondant à une pression de vapeur saturante allant de 0,06 Pa à 105 Pa.Ce travail présente la description, la réalisation et la caractérisation métrologique de ce nouveau dispositif expérimentale. Les résultats des mesures expérimentales sont comparés avec les travaux théoriques et expérimentaux les plus récents. Le budget d'incertitude finale prend en compte la contribution de la mesure de pression, de la mesure de température et des effets parasites telles que la transpiration thermique et la pression aérostatique. Grace aux différentes solutions mises en œuvre, la contribution des mesures de température dans le bilan d’incertitude globale est réduite. La part prépondérante reste essentiellement associée à la mesure de pression
The determination of the physical properties of pure water, especially the vapor-pressure curve, is one of the major issues identified by the Consultative Committee for Thermometry (CCT) of the technical committee in thermometry sub-field hygrometry to improve the accuracy of the national references in humidity.In order to achieve this objective, the LNE-CETIAT and the LNE-Cnam have jointly built a facility dedicated to the measurement of the saturation vapor pressure and temperature of pure water. The principle is based on a static measurement of the pressure and the temperature of pure water in a closed, temperature-controlled thermostat, conceived like a quasi-adiabatic calorimeter. The explored temperature range lies between 193,15 K and 373,15 K, and the pressure range between 0,06 Pa and 105 Pa.This work presents a full description of this facility and the preliminary results obtained for its characterization. The obtained results have been compared with available literature data. The final uncertainty budget took into account several components: pressure measurements, temperature measurements and environmental error sources such as thermal transpiration and hydrostatic pressure correction. Thanks to the employment of several technical solutions, the thermal contribution to the overall uncertainty budget is reduced, and the remaining major part is mainly due to pressure measurements

The first measurements of the heats of sublimation of C$\sb{60}$ and C$\sb{70}$ were carried out from a polycrystalline mixture of C$\sb{60}$ and C$\sb{70}$ using Knudsen effusion mass spectrometry. Average heats of sublimation of C$\sb{60}$ and C$\sb{70}$ were found to be respectively 40.1 $\pm$ 1.3 and 43.0 $\pm$ 2.2 kcal/mol, at the temperatures 707 and 739 K. The measured heat of sublimation of C$\sb{60}$ was extrapolated to 278.15 K, $\Delta H\sbsp{sub}{o}$ (298.15 K) 54 kcal/mol. The first measurements of the total vapor pressures of a polycrystalline C$\sb{60}$/C$\sb{70}$ solid solution were carried out with a quartz crystal microbalance (QCM) and by transpiration methods. The results from the two independent methods show good agreement. The solid solution was found to have a total vapor pressure of 8.1 $\times$ 10$\sp{-4}$ Torr at 800 K. It is estimated that the total vapor pressure of the C$\sb{60}$/C$\sb{70}$ solid solution could reach 1 atm at ca. 1523 K. The heat capacities of a polycrystalline mixture of C$\sb{60}$ and C$\sb{70}$ have been measured by a differential scanning calorimeter (DSC) over the temperature range 323-500 K. The measured heat capacities of C$\sb{60}$ and C$\sb{70}$ indicate that C$\sb{60}$ and C$\sb{70}$ are structurally more like graphite than diamond. Co-deposited thin films of C$\sb{60}$/C$\sb{70}$ and transition metals Ti, Cr, Fe, and Ni have been made in a multiple-furnace chamber. Studies of both infrared and ultraviolet spectroscopy showed no evidence in the formation of metal-fullerene complexes at room temperature. This study also demonstrated the application of a simple laser reflection interferometry in the calibration of thickness monitors. A novel method of producing atomic hydrogen and the active carbon species by first dissociating molecular chlorine in a graphite furnace has been demonstrated. It was found that the quality of the diamond deposits depends on both substrate temperatures and H$\sb2$/Cl$\sb2$ mole ratios. A Fizeau interferometer with a high sensitivity has been developed as an in situ probe for homoepitaxial diamond CVD process. This interferometer has permitted the determination of growth and etching rates within 10-15 minute time periods. The substrate temperature studies of the diamond growth rate revealed three different activation energies over the temperature range 102-950$\sp\circ$C. The effects of furnace temperature, system pressure, gas velocity, methane and chlorine flow rates on diamond growth rates were also investigated. A simplified kinetic model was derived to explain the observed experimental results. Diamond growth rates in the chlorine-activated CVD reactor were found to be much higher at low temperatures than is the case in hydrogen only reactors. The ability to scale up the CA-CVD process has also been demonstrated.

This chapter covers the basic science of physics relevant to anaesthetic practice. Equipment and measurement devices are covered elsewhere. Starting with fundamentals, atomic structure is introduced, followed by dimensions and units as used in science. Basic mechanics are then discussed, focusing on mass and density, force, pressure, energy, and power. The concept of linearity, hysteresis, and frequency response in physical systems is then introduced, using relevant examples, which are easy to understand. Laminar and turbulent fluid flow is then described, using flow measurement devices as applications of this theory. The concept of pressure and its measurement is then discussed in some detail, including partial pressure. Starting with the kinetic theory of gases, heat and temperature are described, along with the gas laws, critical temperature, sublimation, latent heat, vapour pressure and vaporization illustrated by the function of anaesthetic vaporizers, humidity, solubility, diffusion, osmosis, and osmotic pressure. Ultrasound and its medical applications are discussed in some detail, including Doppler and its use to measure flow. This is followed by an introduction to lasers and their medical uses. The final subject covered is electricity, starting with concepts of charge and current, voltage, energy, and power, and the role of magnetism. This is followed by a discussion of electrical circuits and the rules governing them, and bridge circuits used in measurement. The function of capacitors and inductors is then introduced, and alternating current and transformers are described.

Advances in thin-film deposition expose new frontiers to structures and phases that are inaccessible by conventional chemical means and have led to innovative modification of existing materials' properties. Thin-film deposition by magnetron sputtering is highly dependent on ion bombardments; coupled with sublimation of solid target unto the substrate through momentum transfer. It is summarily base on phase change of target material under high-energy influence; corresponding controlled condensation of sputtered atoms on substrate material during which process parameters and growth conditions dictate the pace of the atomic scale processes for thin-film formation. Magnetron sputtering is a state-of-the-art thin film deposition technique versatile for several unique applications, especially in the semiconductor industry. Magnetron sputtering is very novel in its use to achieve low-pressure condition that maximizes and conserve stream of electrons for effective knocking of inert atoms into ions. This ensures the high-energy acquired is not dissipated in gas-phase collisions.

Carbon dioxide, either as an expanded liquid or as a supercritical fluid, may be a viable replacement for a variety of conventional organic solvents in reaction systems. Numerous studies have shown that many reactions can be conducted in liquid or supercritical CO2 (sc CO2) and, in some cases, rates and selectivities can be achieved that are greater than those possible in normal liquid- or gas-phase reactions (other chapters in this book; Noyori, 1999; Savage et al., 1995). Nonetheless, commercial exploitation of this technology has been limited. One factor that contributes to this reluctance is the extremely complex phase behavior that can be encountered with high-pressure multicomponent systems. Even for simple binary systems, one can observe multiple fluid phases, as shown in Figure 1.1. The figure shows the pressure–temperature (PT) projection of the phase diagram of a binary system, where the vapor pressure curve of the light component (e.g., CO2) is the solid line shown at temperatures below TB. It is terminated by its critical point, which is shown as a solid circle. The sublimation curve, melting curve, and vapor pressure curve of the pure component 2 (say, a reactant that is a solid at ambient conditions) are the solid lines shown at higher temperatures on the right side of the diagram; that is, the triple point of this compound is above TE. The solid might experience a significant melting point depression when exposed to CO2 pressure [the dashed–dotted solid/liquid/vapor (SLV) line, which terminates in an upper critical end point (UCEP)]. For instance, naphthalene melts at 60.1 °C under CO2 pressure (i.e., one might observe a three-phase solid/liquid/vapor system), even though the normal melting point is 80.5 °C (McHugh and Yogan, 1984). To complicate things even further, there will be a region close to the critical point of pure CO2 where one will observe three phases as well, as indicated by the dashed–dotted SLV line that terminates at the lower critical end point (LCEP). The dotted line connecting the critical point of the light component and the LCEP is a vapor/liquid critical point locus.

Latent heat of vaporization of water is very large compared to the latent heat of vaporization of other fluids. Therefore, when evaporation is promoted by decompressing, water lowers the temperature and freezes finally. We froze without heat exchange by exposure to vacuum the water using a vacuum pump. Despite violent boiling occurs, pressure in the vessel was going down. But, finally, at freeze process, the pressure in the vessel was increased. This pressure rise is caused by that amount of evaporation increases temporarily rapidly. The rapid increase in the amount of evaporation is due to the release of latent heat during freezing. This paper was focused on the pressure temperature change and mass change when the phase change of the water is switched to sublimation from the evaporation. This is likely to provide useful information when considering a phase-change model in a special state.

A blower driven by the thermal edge flow was shown to be possible to use for freeze drying. First, the pressure rise by the thermal edge flow was confirmed by using an accumulation unit. The pressure rise of 5Pa was given. Next, the effect of the blower for sublimation from frozen material was confirmed by using frozen sponges containing some water. The necessary time for drying by using the blower was roughly half compared with a drying time by not using the blower and the effect of the blower for sublimation depended on the surrounding vacuum pressure.

Results of heat transfer measurements on a typical turbine blade and a vane in a linear cascade have been obtained using the naphthalene sublimation technique. The tests on the vane were performed at the nominal flow angle, whereas for the turbine blade an off-design angle was chosen to study the influence of a separation bubble on the heat transfer. The exit Mach number was varied from M2=0.2 to 0.4 and the exit Reynolds number ranged from Re2= 300000 to 700000. Comparisons with numerical codes have been conducted. The measurements were performed in a linear test facility containing five airfoils. Two tailboards and two bypass vanes allowed to achieve a good periodicity of the flow. The aerodynamic flow conditions were measured using pressure taps and Laser-Two-Focus (L2F) anemometry. About forty static pressure taps gave a precise Mach number distribution over the suction and the pressure side of the airfoil. L2F measurements were used to determine the downstream flow angles. The heat transfer coefficient was measured using the naphthalene sublimation technique. This method is based on the heat and mass transfer analogy for incompressible flow. A 0.5 mm thin naphthalene layer was applied to the middle airfoil and exposed to the flow for about 45 minutes. The sublimation was then measured in over 500 points on the airfoil, which allowed a high resolution of the heat transfer coefficient. Due to its high resolution, the sublimation technique shows the presence of and the precise location of the laminar-to-turbulent transition point and the separation bubble. The measurements on the vane were compared with two separate two-dimensional boundary layer programs, which were TEXSTAN (Texas University) and TEN (Sussex University). The programs incorporate the k-epsilon turbulence model with several different formulations. The laminar-turbulent transition was predicted quite well with TEN, which slightly damps out the production of turbulent kinetic energy in order to ensure a smooth transition zone. In the case of the blade, the naphthalene sublimation technique was able to predict the size and the location of the separation bubble as well as the reattachment with a very high precision.

Sublimation vapor transport method is a widely used technique for the production of optoelectronic materials, such as AlN single crystals. Inductively heated method is most commonly used in high temperature materials processing. In the literature, a one-step reaction with two vapor species, i.e. aluminum (Al) vapor and nitrogen (N2) gas, is usually assumed and a diffusion-controlled growth mechanism is used with thermodynamic equilibrium calculations. In the growth experiments, crystal growth may be in the kinetic controlled region, the interplay between surface kinetics and vapor transport is important. Temperature field with inductively heated method will be simulated in this paper. Afterwards, three growth models are proposed. One model is called the traditional model assuming thermodynamic equilibrium and diffusion as the rate-limiting process, and two other models are developed based on equilibrium partial pressure of either aluminum vapor or reaction nitrogen gas. The predicted growth rates by three models are compared. The advantage and disadvantage of different models are discussed.

The dependence of heat transfer on film cooling near the leading edge of a blade was investigated using the naphthalene sublimation technique and applying the analogy between heat and mass transfer. Therefore, the local sublimation rate with and without film cooling was measured. The symmetric leading edge was cooled by an air mass flow out of two staggered rows of holes. The measurements were carried out with a constant Reynolds number Re = 80000, different incidence angles φ = 0° to 10° and a blowing rate varying from M = 0.3 to 2.5. The flow without film cooling was visualized around the leading edge with smoke to indicate the existence of separation bubbles. To determine the dependence of incidence angle and blowing rate on jet trajectories, smoke was mixed to the cooling air. The mass transfer coefficient was determined with the naphthalene sublimation technique. Due to the high resolution of the sublimation technique the local mass transfer distribution around the cooling holes could also be measured. Furthermore, the location of stagnation points and separation bubbles were investigated. The results of the tests without film cooling were also compared with those obtained by observing stagnation point mass transfer on a cylinder and with those by laminar flow across a flat plate. The mass transfer coefficient of film cooling experiments was related to the mass transfer coefficient without film cooling to describe the local dependence of heat transfer coefficient on film cooling. An increase on relativ heat transfer near the film cooling holes is obtained by increasing the blowing rate. No further influence on heat transfer along the pressure side is detected for an incidence angle larger than 10° as the cooling films were shifted around the leading edge from the pressure to the suction side.

The pore scale progression of the sublimation front during primary freeze drying depends on the local vapor transport and the local heat transfer as well. If the pore space is size distributed, vapor and heat transfer may spatially vary. Beyond that, the pore size distribution can substantially affect the physics of the transport mechanisms if they occur in a transitional regime. Exemplarily, if the critical mean free path is locally exceeded, the vapor transport regime passes from viscous flow to Knudsen diffusion. At the same time, the heat transfer is affected by the local ratio of pore space to the solid skeleton. The impact of the pore size distribution on the transitional vapor and heat transfer can be studied by pore scale models such as the pore network model. As a first approach, we present a pore network model with vapor transport in the transitional regime between Knudsen diffusion and viscous flow at constant temperature in the dry region. We demonstrate the impact of pore size distribution, temperature and pressure on the vapor transport regimes. Then we study on the example of a 2D square lattice, how the presence of micro and macro pores affects the macroscopic progression of the sublimation front. Keywords: pore size distribution; transitional vapor transport; pore network model; fractured sublimation front.

The heat transfer of a water spray impinging upon a surface in a very low pressure environment is of interest to cooling of space vehicles during launch and re-entry, and to industrial processes where flash evaporation occurs. At very low pressure, the process occurs near the triple point of water, and there exists a transient multiphase transport problem of ice, water and water vapor. At the impingement location, there are three heat transfer mechanisms: evaporation, freezing and sublimation. A preliminary heat transfer model was developed to explore the interaction of these mechanisms at the surface and within the spray.