Bubble Behavior in a Taylor Vortex

We present an experimental study on the behavior of bubbles captured in a Taylor vortex. The gap between a rotating inner cylinder and a stationary outer cylinder is filled with a Newtonian mineral oil. Beyond a critical rotation speed (ω[subscript c]), Taylor vortices appear in this system. Small air bubbles are introduced into the gap through a needle connected to a syringe pump. These are then captured in the cores of the vortices (core bubble) and in the outflow regions along the inner cylinder (wall bubble). The flow field is measured with a two-dimensional particle imaging velocimetry (PIV) system. The motion of the bubbles is monitored by using a high speed video camera. It has been found that, if the core bubbles are all of the same size, a bubble ring forms at the center of the vortex such that bubbles are azimuthally uniformly distributed. There is a saturation number (N[subscript s]) of bubbles in the ring, such that the addition of one more bubble leads eventually to a coalescence and a subsequent complicated evolution. Ns increases with increasing rotation speed and decreasing bubble size. For bubbles of non-uniform size, small bubbles and large bubbles in nearly the same orbit can be observed to cross due to their different circulating speeds. The wall bubbles, however, do not become uniformly distributed, but instead form short bubble-chains which might eventually evolve into large bubbles. The motion of droplets and particles in a Taylor vortex was also investigated. As with bubbles, droplets and particles align into a ring structure at low rotation speeds, but the saturation number is much smaller. Moreover, at high rotation speeds, droplets and particles exhibit a characteristic periodic oscillation in the axial, radial and tangential directions due to their inertia. In addition, experiments with non-spherical particles show that they behave rather similarly. This study provides a better understanding of particulate behavior in vortex flow structures.

Analysis of the relationship between the number of citations and the quality evaluated by experts in psychology journals

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On the incremental validity of irrational beliefs to predict subjective well-being while controlling for personality factors

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Number Theory

Lecture notes for a number theory course

How do I get the Chapter number in Table or Figure captions to restart in Appendices using the University thesis template in Word 2010?

If you have added the Chapter number to your Table or Figure captions they will show as 1.1, 1.2 and so on. This is linked to the numbering used in the Heading 1 style. However, once you get to the Appendices the last Chapter number will continue throughout the Appendices as the Appendix heading isn't Heading 1. So what you need to do is get Word to understand that the style from which it should be picking up the first part of the Caption has changed and that it will need to restart the numbering again in each subsequent Appendix. This isn't too complex but you must follow the instructions to the letter or else it won't work.

How do I get the Chapter number in Table or Figure captions to restart in Appendices using the University thesis template in Word 2011?

If you have added the Chapter number to your Table or Figure captions they will show as 1.1, 1.2 and so on. This is linked to the numbering used in the Heading 1 style. However, once you get to the Appendices the last Chapter number will continue throughout the Appendices as the Appendix heading isn't Heading 1.

Brain Tumour, Mood Disorder and Encephalopathy. Discusion of the Clinical Case Presented in Volume 6, Number 2

We report a case of a 65 years old female patient, who was admitted to the hospital with non specific neurological symptoms and who had preliminary imagenological findings of an extra-axial tumor mass (a meningioma of the sphenoid’s wing), which was taken to complete surgical removal. Afterwards, she developed progressive neurologic deterioration until her death. The final diagnosis was acute spongiform encephalophaty, and was obtained by cerebral biopsy. Spongiform encephalopathy was described, almost a century ago, as the Creutzfeldt-Jakob Disease, poorly diagnosed in our environment because of its low frequency and uncommon onset, which starts with a mood disorder followed by a phase of dementia and a final fatal outcome. The gold standard for the diagnosis is based on a biopsy or an autopsy of the brain, with immunohistochemical stains for the prionic abnormal protein.

Brain Tumour, Mood Disorder and Encephalopathy. Discusion of the Clinical Case Presented in Volume 6, Number 2

We report a case of a 65 years old female patient, who was admitted to the hospital with non specific neurological symptoms and who had preliminary imagenological findings of an extra-axial tumor mass (a meningioma of the sphenoid’s wing), which was taken to complete surgical removal. Afterwards, she developed progressive neurologic deterioration until her death. The final diagnosis was acute spongiform encephalophaty, and was obtained by cerebral biopsy. Spongiform encephalopathy was described, almost a century ago, as the Creutzfeldt-Jakob Disease, poorly diagnosed in our environment because of its low frequency and uncommon onset, which starts with a mood disorder followed by a phase of dementia and a final fatal outcome. The gold standard for the diagnosis is based on a biopsy or an autopsy of the brain, with immunohistochemical stains for the prionic abnormal protein.

Number poems.

Esta selección de poesía se ha elegido para que coincida con temas de interés para el grupo de edad: números. Aunque los poemas son completamente independientes de otras historias, pueden ser introducidos junto con libros de cuentos. Destinado a escuelas infantiles, puede utilizarse para el trabajo curricular transversal, así como para la enseñanza de la lectura y el disfrute de la poesía, ritmo y rima. Desarrolla en los niños habilidades fonológicas y el conocimiento de la rima y los introduce en la poesía desde las primeras etapas de la lectura. Ofrece orientación para hablar y escuchar, con especial atención a la lectura en voz alta.

Developing number sense : progression in the middle years.

Proporciona a los profesores métodos eficaces para enseñar el aprendizaje de las matemáticas a los alumnos de primaria y secundaria. Refleja las recientes investigaciones sobre el tema al centrarse en las relaciones que desarrollan la comprensión del sentido numérico en los niños. Busca el equilibrio entre teoría y práctica pues ayuda a los profesores, con ejemplos específicos, en los problemas y cuestiones a los que se enfrentan, día a día, en la enseñanza de las matemáticas en el aula.

Overcoming difficulties with number : supporting dyscalculia and students who struggle with maths.

El autor subraya la importancia de comenzar con materiales concretos y manipulables, antes de pasar a materiales más simbólicos. Su enseñanza se basa en la comprensión actual del alumno, en lugar de en su rendimiento. Ofrece una gran cantidad de actividades y juegos numéricos con una gran variedad de materiales, incluyendo regletas de Cuisenaire y los dominós de las etapas más tempranas. A medida que los alumnos progresan se introducen razonamientos más complejos. Proporciona métodos muy claros para las áreas donde muchos niños tienen grandes dificultades con el concepto de número. Incluye Un CD-ROM que contiene todos los recursos que se describen en el texto, una versión imprimible de la guía y una lista de actividades para los padres.

Practice multiple-choice papers suitable for : key skills level 2 application of number and level 2 adult numeracy.

Este recurso puede ser utilizado por los tutores que imparten las habilidades básicas y la aritmética elemental para adultos como por los estudiantes en la evaluación final del nivel 2. Contiene 12 cuestionarios, cada uno de ellos con 40 preguntas de opción múltiple y cuya finalidad es evaluar la capacidad de los candidatos para interpretar la información de tablas, diagramas, cuadros y gráficos y utilizar los cálculos que implican, entre otras, las siguientes habilidades: números, fracciones, decimales y porcentajes; números enteros, positivos y negativos; decimales y porcentajes; peso y capacidad; área, perímetro y volumen; fórmulas. También, incluye las respuestas y las hojas de evaluación para fotocopiar.

Teaching and learning early number.

Libro orientado a profesores en formación, en prácticas y ayudantes de aula en educación infantil y primaria para la enseñanza de los primeros conceptos sobre números y matemáticas. Incluye nuevos estudios sobre el proceso de cálculo y sobre las notas de los niños en matemáticas, actividades de cálculo en casa y como juego en el entorno escolar, la importancia de las representaciones matemáticas y de las tecnologías de la información y la comunicación (TIC) en la compresión de los números por los niños, errores y falsas ideas y la evaluación del conocimiento numérico de los niños.

Elementary School students' approaches to solving true-false number sentences. 'Métodos de alumnos de Educación Primaria para la resolución de sentencias numéricas verdaderas y falsas'.

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The effect of counterpoise correction and relaxation energy term to the internal rotation barriers: application to the BF3 ...NH3 and C2H4 ...SO2 dimers

The relevance of the fragment relaxation energy term and the effect of the basis set superposition error on the geometry of the BF3⋯NH3 and C2H4⋯SO2 van der Waals dimers have been analyzed. Second-order Møller-Plesset perturbation theory calculations with the d95(d,p) basis set have been used to calculate the counterpoise-corrected barrier height for the internal rotations. These barriers have been obtained by relocating the stationary points on the counterpoise-corrected potential energy surface of the processes involved. The fragment relaxation energy can have a large influence on both the intermolecular parameters and barrier height. The counterpoise correction has proved to be important for these systems