EVALUATION OF THE EXPONENT OF THE RICHARDSON AND ZAKI SEDIMENTATION VELOCITY CORRECTION FUNCTION FOR MICRO PARTICLES

La función de corrección formulada por Richardson y Zaki en 1954, se utiliza para determinar la velocidad de sedimentación de un colectivo de partículas a partir de la velocidad de una partícula que no se encuentra sujeta a la acción de las fuerzas de otras partículas en la suspensión. Dado el tamaño de las partículas que es micrométrico y el valor del número de Reynolds del escurriento que es menor a 0,25; se emplea la solución de Stokes para evaluar la velocidad de éstas, por lo que el valor del exponente de la función de corrección de Richardson y Zaki es n = 4,65; independientemente del tamaño. El presente trabajo demuestra a partir de un trabajo experimental con micro partículas que el valor del exponente de la función de corrección de Richardson y Zaki depende de su tamaño y es mayor mientras menor es el diametro de éstas.Richardson and Zaki (1954) formulated a correction function for determining the sedimentation velocity of a suspension of particles on the basis of the velocity of a single particle not subject to forces other particles in the suspension. The Reynolds number for the flow is less than 0.25, so the Stokes equation can be used to calculate their velocity. The exponent in the Richardson and Zaki correction function is n = 4.65, independent of size. This paper describes research with micro particles in which the value of the exponent of the Richardson and Zaki correction function was found to be inversely dependent on the size of the micro particles

Schallspektroskopische Charakterisierung von submikronen Emulsionen

Zu den wenigen Methoden, die sich für eine prozessnahe Charakterisierung von dispersen Stoffsystemen bezüglich der Partikelgrößenverteilung eignen, zählt die Schalldämpfungsspektroskopie. Dennoch ist ihr Einsatz in der industriellen Praxis auf einen überschaubaren Bereich an Messaufgaben und Stoffsystemen beschränkt. Insbesondere findet sie kaum Einsatz für die Partikelgrößenanalyse von submikronen Emulsionen. Die vorliegende Arbeit macht es sich deshalb zum Ziel, ausgehend von grundsätzlichen Überlegungen die Eignung der Schalldämpfungsspektroskopie zur prozessnahen Charakterisierung des Dispersitätszustandes von submikronen Emulsionen zu bewerten und zu verbessern. Schwerpunkte der Arbeit sind die modellhafte Beschreibung des Schalldämpfungsverhaltens von hoch konzentrierten Partikelsystemen im Submikrometerbereich, die Abschätzung des Einflusses von Emulgatoren auf die Schalldämpfung, die Erkennbarkeit von Einzelheiten der Partikelgrößenverteilung, die Sensitivität berechneter Partikelgrößenverteilungen bezüglich der Partikelkonzentration und der verschiedenen Stoffeigenschaften sowie die Auswertung von Schalldämpfungsspektren bei Unkenntnis dieser Modellparameter. Die angesprochenen Aspekte werden am Beispiel typischer Charakterisierungsaufgaben diskutiert.The ultrasonic spectroscopy is one of few measurement methods applicable to the online characterization of disperse systems with regard to particle size distribution. However, its application in industrial practise is restricted to a rather low number of measurement tasks and material systems. In particular it is hardly used for the particle size analysis of submicron emulsions. This thesis therefore aims to the evaluation of the ultrasonic spectroscopy regarding its applicability to the online characterization of submicron emulsions. Main issues of the thesis are the modelling of sound attenuation in dense particle systems, the estimation on the influence that surfactant layers exert on sound attenuation, the resolution at which size distribution can be measured, the sensitivity of calculated size distributions to model parameters (particle concentration and material properties) and the analysis of measured attenuation spectra by unknown model parameters. The meanining of these issues are illustrated for typical characterization tasks

Schallspektroskopische Charakterisierung von submikronen Emulsionen

Zu den wenigen Methoden, die sich für eine prozessnahe Charakterisierung von dispersen Stoffsystemen bezüglich der Partikelgrößenverteilung eignen, zählt die Schalldämpfungsspektroskopie. Dennoch ist ihr Einsatz in der industriellen Praxis auf einen überschaubaren Bereich an Messaufgaben und Stoffsystemen beschränkt. Insbesondere findet sie kaum Einsatz für die Partikelgrößenanalyse von submikronen Emulsionen. Die vorliegende Arbeit macht es sich deshalb zum Ziel, ausgehend von grundsätzlichen Überlegungen die Eignung der Schalldämpfungsspektroskopie zur prozessnahen Charakterisierung des Dispersitätszustandes von submikronen Emulsionen zu bewerten und zu verbessern. Schwerpunkte der Arbeit sind die modellhafte Beschreibung des Schalldämpfungsverhaltens von hoch konzentrierten Partikelsystemen im Submikrometerbereich, die Abschätzung des Einflusses von Emulgatoren auf die Schalldämpfung, die Erkennbarkeit von Einzelheiten der Partikelgrößenverteilung, die Sensitivität berechneter Partikelgrößenverteilungen bezüglich der Partikelkonzentration und der verschiedenen Stoffeigenschaften sowie die Auswertung von Schalldämpfungsspektren bei Unkenntnis dieser Modellparameter. Die angesprochenen Aspekte werden am Beispiel typischer Charakterisierungsaufgaben diskutiert.The ultrasonic spectroscopy is one of few measurement methods applicable to the online characterization of disperse systems with regard to particle size distribution. However, its application in industrial practise is restricted to a rather low number of measurement tasks and material systems. In particular it is hardly used for the particle size analysis of submicron emulsions. This thesis therefore aims to the evaluation of the ultrasonic spectroscopy regarding its applicability to the online characterization of submicron emulsions. Main issues of the thesis are the modelling of sound attenuation in dense particle systems, the estimation on the influence that surfactant layers exert on sound attenuation, the resolution at which size distribution can be measured, the sensitivity of calculated size distributions to model parameters (particle concentration and material properties) and the analysis of measured attenuation spectra by unknown model parameters. The meanining of these issues are illustrated for typical characterization tasks

Suspensions of colloidal particles and aggregates

This book addresses the properties of particles in colloidal suspensions. It has a focus on particle aggregates and the dependency of their physical behaviour on morphological parameters. For this purpose, relevant theories and methodological tools are reviewed and applied to selected examples. The book is divided into four main chapters. The first of them introduces important measurement techniques for the determination of particle size and interfacial properties in colloidal suspensions. A further chapter is devoted to the physico-chemical properties of colloidal particles—highlighting the interfacial phenomena and the corresponding interactions between particles. The book’s central chapter examines the structure-property relations of colloidal aggregates. This comprises concepts to quantify size and structure of aggregates, models and numerical tools for calculating the (light) scattering and hydrodynamic properties of aggregates, and a discussion on van-der-Waals and double layer interactions between aggregates. It is illustrated how such knowledge may significantly enhance the characterisation of colloidal suspensions. The final part of the book refers to the information, ideas and concepts already presented in order to address technical aspects of the preparation of colloidal suspensions—in particular the performance of relevant dispersion techniques and the stability of colloidal suspensions

Microfiltration of Submicron-Sized and Nano-Sized Suspensions for Particle Size Determination by Dynamic Light Scattering

Dynamic light scattering (DLS) is commonly used for the determination of average particle diameters and suspension stability and popular in academics and industry. However, DLS is not considered suitable for polydisperse samples. The presence of little quantities of micrometre particles in nano and submicrometre suspensions especially affect the reliability of DLS results. Microfiltration might be a suitable method for the removal of unwanted large particles. This study investigates the effect of microfiltration on the diameter distributions as measured by DLS. Polystyrene standards (40–900 nm diameter), and monomodal silica suspensions were filtered with polytetrafluoroethylene (PTFE) membranes (0.1–1.0 µm pore size) to investigate retention properties and grade efficiency. Non-ideal materials were used to prove the results. Experiments showed that a mono-exponential decay can be achieved by filtration. A size safety factor of at least three between labeled pore size and average diameter was found to keep separation as low as possible. Filtration in order to enhance DLS for particulate submicrometre materials was considered suitable for narrowly distributed coated titania and kaolin powder. In a regulatory context, this might have an impact on considering a substance false positive or false negative according to the European Commission (EC) recommendation of a definition of the term nanomaterial

Engineered nanoparticles: Nanometrology status and future needs within Europe

Engineered nanoparticles (ENPs) are particles designed and produced to have all external dimensions in the nanoscale (between approximately 1 nm and 100 nm). ENPs and their agglomerates and aggregates have been used in many industrial applications for many years. The recent increase in the number of different kinds of ENPs and the broader range and understanding of their functional properties promise much for future applications. However there are Health, Safety and Environmental (HSE) concerns because of findings that suggest for some ENPs a different toxicity than that of the bulk material of the same composition. To profit fully from the potential of ENPs and to responsibly deal with the HSE concerns requires the development of scientifically sound classification methods for nanoparticles, distinguishing them in terms of their production method, but also in terms of their basic physico-chemical characteristics and properties. The Co-Nanomet ENP Action Group addressed the related measurement issues with the purpose of identifying and promoting metrology solutions for both airborne and suspended ENPs.JRC.D.2-Reference material

Light extinction at agglomerates of spheres—A practical test on the submicroscale

International audienceToday's theories applied to the inversion of measurement data from optical measurement devices are restricted to single spherical particles. However, particles formed in industrial processes such as precipitation and crystallization are often nonspherical or agglomerates. Theoretical approaches to describe the optical behavior of such particle systems have already been proposed. The verification of these theories has mostly been done using microwave scattering experiments with agglomerates in the millimeter range. This paper provides a first but surely not all-embracing practical test for a general extension of the Mie theory to agglomerates of submicroscale spheres. For the sake of simplicity and from practical viewpoints of online-sensor development only light extinction of an agglomerated suspension has been examined. The required rigid agglomerates have been produced using a spray-drying method that generates particles with a much higher mechanical stability than can be obtained by the usual procedures. Subsequent fractionation of the suspension delivers systems with only a limited number of agglomerate configurations. Extinction measurements at multiple wavelengths using dynamic extinction spectroscopy have been conducted to determine the extinction cross section of the agglomerated dispersions. These data are compared with computations of agglomerates scattering

ANÁLISIS DE LA FUNCIÓN DE CORRECCIÓN DE LA VELOCIDAD DE SEDIMENTACIÓN PARA MICRO PARTÍCULAS ANALYSIS OF THE CORRECTION FUNCTION FOR MICRO-PARTICLE SEDIMENTATION VELOCITY

La velocidad de sedimentación de las partículas presentes en una suspensión sufre una caída monótona en función de la concentración volumétrica de éstas, por efecto de las fuerzas hidrodinámicas y electroquímicas que se presentan en una suspensión. El valor efectivo que alcanza la velocidad de sedimentación puede evaluarse a partir de la velocidad de sedimentación teórica de una partícula única, multiplicada por la denominada función de corrección de velocidad o función obstáculo, la que considera tanto el régimen de escurrimiento como la concentración volumétrica de partículas. Los valores determinados para esta función por Richardson y Zaki en 1954 [14] son los más utilizados actualmente, donde el valor propuesto para el caso de regímenes de escurrimiento del fluido por sobre las partículas, cuyos números de Reynolds sean menores a 0,25, se establece un valor único de 4,65, independientemente del tamaño de las partículas. El presente artículo muestra los resultados alcanzados a partir de un trabajo experimental desarrollado con micro partículas calibradas de óxido de silicio (SiO2), que indica que el valor del exponente de la función de corrección depende inversamente del tamaño, para el caso de partículas de orden micrométrico, lo que daría lugar a un nuevo valor para el exponente.<br>The sedimentation velocity of micro-particles in suspension decreases with increasing concentration due to hydrodynamic and electrostatic forces. This velocity can be estimated on the basis of the theoretical velocity of a single particle, multiplied by a correction factor which depends on the flow regime as well as the volumetric concentration of the particles. The most commonly used values are those determined by Richardson and Zaki in 1954 [14]. For flow regimes characterized by a Reynolds' number less than 0,25, a constant value of 4,65 is used which does not depend on the particle size. The present article presents results of micro-particle sedimentation research performed with calibrated silicon oxide particles (SO2), which indicate that the exponent in the correction function is inversely dependent on micro-particle size for this flow regime, as opposed to the constant value previously used

Mesure de la force de traînée sur un agrégat

National audienceL'objectif est de mesurer la force de traînée sur un agrégat constitué d'un certain nombre de particules primaires. La plupart des mesures ont été réalisées jusqu'ici par sédimentation. Cette procédure pose un problème quant à la maîtrise de l'orientation de l'objet par rapport à un référentiel fixe. Nous proposons un nouveau montage, un mode opératoire et une analyse critique de la mesure. Ceux-ci ont été validés lors de l'étude d'une sphère

How reliably can a material be classified as a nanomaterial? Available particle-sizing techniques at work

Abstract: Currently established and projected regulatory frameworks require the classification of materials (whether nano or non-nano) as specified by respective definitions, most of which are based on the size of the constituent particles. This brings up the question if currently available techniques for particle size determination are capable of reliably classifying materials that potentially fall under these definitions. In this study, a wide variety of characterisation techniques, including counting, fractionating, and spectroscopic techniques, has been applied to the same set of materials under harmonised conditions. The selected materials comprised well-defined quality control materials (spherical, monodisperse) as well as industrial materials of complex shapes and considerable polydispersity. As a result, each technique could be evaluated with respect to the determination of the number-weighted median size. Recommendations on the most appropriate and efficient use of techniques for different types of material are given. Graphical Abstract: [Figure not available: see fulltext.