Free Boundaries In Viscous Flows PDF Download
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Author | : Robert A. Brown |
Publisher | : Springer Science & Business Media |
Total Pages | : 122 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461384133 |
Download Free Boundaries in Viscous Flows Book in PDF, ePub and Kindle
It is increasingly the case that models of natural phenomena and materials processing systems involve viscous flows with free surfaces. These free boundaries are interfaces of the fluid with either second immiscible fluids or else deformable solid boundaries. The deformation can be due to mechanical displacement or as is the case here, due to phase transformation; the solid can melt or freeze. This volume highlights a broad range of subjects on interfacial phenomena. There is an overview of the mathematical description of viscous free-surface flows, a description of the current understanding of mathematical issues that arise in these models and a discussion of high-order-accuracy boundary-integral methods for the solution of viscous free surface flows. There is the mathematical analysis of particular flows: long-wave instabilities in viscous-film flows, analysis of long-wave instabilities leading to Marangoni convection, and de§ scriptions of the interaction of convection with morphological stability during directional solidification. This book is geared toward anyone with an interest in free-boundary problems, from mathematical analysts to material scientists; it will be useful to applied mathematicians, physicists, and engineers alike.
Author | : Robert A. Brown |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 1994-04-08 |
Genre | : Mathematics |
ISBN | : 9780387942537 |
Download Free Boundaries in Viscous Flows Book in PDF, ePub and Kindle
It is increasingly the case that models of natural phenomena and materials processing systems involve viscous flows with free surfaces. These free boundaries are interfaces of the fluid with either second immiscible fluids or else deformable solid boundaries. The deformation can be due to mechanical displacement or as is the case here, due to phase transformation; the solid can melt or freeze. This volume highlights a broad range of subjects on interfacial phenomena. There is an overview of the mathematical description of viscous free-surface flows, a description of the current understanding of mathematical issues that arise in these models and a discussion of high-order-accuracy boundary-integral methods for the solution of viscous free surface flows. There is the mathematical analysis of particular flows: long-wave instabilities in viscous-film flows, analysis of long-wave instabilities leading to Marangoni convection, and de§ scriptions of the interaction of convection with morphological stability during directional solidification. This book is geared toward anyone with an interest in free-boundary problems, from mathematical analysts to material scientists; it will be useful to applied mathematicians, physicists, and engineers alike.
Author | : C. Pozrikidis |
Publisher | : Cambridge University Press |
Total Pages | : 276 |
Release | : 1992-02-28 |
Genre | : Mathematics |
ISBN | : 9780521406932 |
Download Boundary Integral and Singularity Methods for Linearized Viscous Flow Book in PDF, ePub and Kindle
In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.
Author | : Hilary Ockendon |
Publisher | : Cambridge University Press |
Total Pages | : 130 |
Release | : 1995-01-27 |
Genre | : Mathematics |
ISBN | : 9780521458818 |
Download Viscous Flow Book in PDF, ePub and Kindle
Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.
Author | : Linda Jane Cummings |
Publisher | : |
Total Pages | : 0 |
Release | : 1996 |
Genre | : Boundary value problems |
ISBN | : |
Download Free Boundary Models in Viscous Flow Book in PDF, ePub and Kindle
Author | : Hermann Schlichting (Deceased) |
Publisher | : Springer |
Total Pages | : 814 |
Release | : 2016-10-04 |
Genre | : Technology & Engineering |
ISBN | : 366252919X |
Download Boundary-Layer Theory Book in PDF, ePub and Kindle
This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.
Author | : C.A. Brebbia |
Publisher | : Springer Science & Business Media |
Total Pages | : 264 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9401128766 |
Download Boundary Elements in Fluid Dynamics Book in PDF, ePub and Kindle
This book Boundary Elements in Fluid Dynamics is the second volume of the two volume proceedings of the International Conference on Computer Modelling of Seas and Coastal Regions and Boundary Elements and Fluid Dynamics, held in Southampton, U.K., in April 1992. The Boundary Element Method (BEM) is now fully established as an ac curate and successful technique for solving engineering problems in a wide range of fields. The success of the method is due to its advantages in data reduction, as only the boundary of the region is modelled. Thus moving boundaries may be more easily handled, which is not the case if domain methods are used. In addition, the method is easily able to model regions to extending to infinity. Fluid mechanics is traditionally one of the most challenging areas of engi neering, the simulation of fluid motion, particularly in three dimensions, is always a serious test for any numerical method, and is an area in which BEM analysis may be used taking full advantage of its special characteris tics. The conference includes sections on turbomachinery, aerodynamics, viscous flow and turbulence models, and special flow situations. The organisers would like to thank the International Scientific Advisory Committee, the conference delegates and all of those who have actively supported the meet ing.
Author | : Peder A. Tyvand |
Publisher | : WIT Press (UK) |
Total Pages | : 266 |
Release | : 1998 |
Genre | : Science |
ISBN | : |
Download Free Surface Flows with Viscosity Book in PDF, ePub and Kindle
Looking at basic research on viscous free surface flows, this volume examines such areas as: water waves; ship waves; ocean waves on a rotating Earth; stokes drift; wave damping; vorticity near a free surface; internal waves; and viscous thin-layer flows.
Author | : James Liburdy |
Publisher | : |
Total Pages | : |
Release | : 2021-09-16 |
Genre | : |
ISBN | : 9781955101103 |
Download Intermediate Fluid Mechanics Book in PDF, ePub and Kindle
Author | : V.K. Andreev |
Publisher | : Springer Science & Business Media |
Total Pages | : 966 |
Release | : 1998-10-31 |
Genre | : Mathematics |
ISBN | : 9780792352150 |
Download Applications of Group-Theoretical Methods in Hydrodynamics Book in PDF, ePub and Kindle
It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a coincidence that the equations of hydrodynamics served as the first object for applying the new ideas and methods of group analysis which were developed by 1. V. Ovsyannikov and his school. The authors rank themselves as disciples of the school. The present monograph deals mainly with group-theoretic classification of the equations of hydrodynamics in the presence of planar and rotational symmetry and also with construction of exact solutions and their physical interpretation. It is worth noting that the concept of exact solution to a differential equation is not defined rigorously; different authors understand it in different ways. The concept of exact solution expands along with the progress of mathematics (solu tions in elementary functions, in quadratures, and in special functions; solutions in the form of convergent series with effectively computable terms; solutions whose searching reduces to integrating ordinary differential equations; etc. ). We consider it justifiable to enrich the set of exact solutions with rank one and rank two in variant and partially invariant solutions to the equations of hydrodynamics.