This book considers the behavior of fluids in a low-gravity environment (e.g. spacecraft) with special emphasis on application in PMD (propellant management device) systems. Since PMD designs are not testable on ground and thus completely rely on analytical or numerical concepts, this book treats three different flow problems with analytical, numerical and experimental means. These problems are linked together by the same set of equations and boundary conditions.
The book covers selected problems in free surface flows. The topics range from linear and nonlinear gravity and capillary waves, thin film dynamics, equilibrium shape, stability, and dynamics of capillary surfaces to thermal Marangoni effects in several geometries. The fluid dynamical problems are supplemented by a review Eulerian based computational methods.
Free surface flows arise in the natural world, physical and biological sciences and in some areas of modern technology and engineering. Exam ples include the breaking of sea waves on a harbour wall, the transport of sloshing fluids in partly filled containers, and the design of micronozzles for high speed ink-jet printing. Apart from the intrinsic mathematical challenge in describing and solving the governing equations, there are usually important environmental, safety and engineering features which need to be analysed and controlled. A rich variety of techniques has been developed over the past two decades to facilitate this analysis; singular perturbations, dynamical systems, and the development of sophisticated numerical codes. The extreme and sometimes violent nature of some free surface flows taxes these methods to the limit. The work presented at the symposium addressed these limits and can be loosely classified into four areas: (i) Axisymmetric free surface flows. There are a variety of problems in the printing, glass, fertiliser and fine chemical industries in which threads of fluid are made and controlled. Presentations were made in the areas of pinch-off for inviscid and viscous threads of fluid, recoil effects after droplet formation and the control of instability by forced vibration. (ii) Dynamic wetting. The motion of three phase contact lines, which are formed at the junction between two fluids and a solid, plays an important role in fluid mechanics.
This book contains the written, thoroughly reviewed versions of both invited lectures and regular presentations given at the 36th International School of Hydraulics, held at Jachranka in Poland on May 23–26, 2017. The contributions cover recent findings in the areas of mathematical modeling as well as experimental investigations related to free surface flows and pollution, sediment and heat transport processes in rivers. Better understanding of environmental flows requires cognition of physical, chemical and biological attributes of flowing water and therefore hydraulic research becomes strongly interdisciplinary field of science. The authors also realize that fundamental knowledge of environmental hydraulics problems is absolutely essential for planning and design of systems to manage water resources. Nowadays the readers face a rapid development of hydraulic research due to a boom in the computer sciences and measurement techniques and this is what this book is about. Eminent world leading experts in this field and young researchers from sixteen countries from all over the world contributed to this book.
An asymptotic expansion is a series that provides a sequence of increasingly accurate approximations to a function in a particular limit. The formal definition, given by Poincare (1886, Acta Math. 8:295), is as follows. Given a function,
This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM''08), held at the New Jersey Institute of Technology (NJIT), May 19OCo21, 2008. The papers reflect the conference themes of mathematical biology, mathematical fluid dynamics, applied statistics and biostatistics, and waves and electromagnetics. Some of the world''s most distinguished experts in the conference focus areas provide a unique and timely perspective on leading-edge research, research trends, and important open problems in several fields, making it a OC must readOCO for active mathematical scientists."
This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM'08), held at the New Jersey Institute of Technology (NJIT), May 19-21, 2008. The papers reflect the conference themes of mathematical biology, mathematical fluid dynamics, applied statistics and biostatistics, and waves and electromagnetics. Some of the world's most distinguished experts in the conference focus areas provide a unique and timely perspective on leading-edge research, research trends, and important open problems in several fields, making it a “must read” for active mathematical scientists.Included are major new contributions by a distinguished trio of plenary speakers: Frank Hoppensteadt contributes a thought-provoking paper on the evolving relationship between applied mathematics and the computer; Pranab Sen explores exciting new trends in computational biology and informatics; and Jean-Marc Vanden-Broeck describes his recent research on 3D free surface flows. There are also many innovative contributions by a prestigious group of invited mini-symposium speakers, making this an indispensable collection for professionals and graduate students in the mathematical sciences and related fields.Finally, the 75th birthday dedication to Daljit S Ahluwalia — for his many contributions to building a world-class mathematical sciences department at NJIT — adds to making this a one-of-a-kind volume.