Free Boundaries In Viscous Flows

Author : Robert A. Brown,Stephen H. Davis
Publisher : Springer Science & Business Media
Page : 122 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461384137

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Free Boundaries in Viscous Flows by Robert A. Brown,Stephen H. Davis Pdf

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,Stephen H. Davis
Publisher : Springer
Page : 0 pages
File Size : 42,8 Mb
Release : 1994-04-08
Category : Mathematics
ISBN : 038794253X

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Free Boundaries in Viscous Flows by Robert A. Brown,Stephen H. Davis Pdf

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
Page : 276 pages
File Size : 55,5 Mb
Release : 1992-02-28
Category : Mathematics
ISBN : 0521406935

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Boundary Integral and Singularity Methods for Linearized Viscous Flow by C. Pozrikidis Pdf

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 : VEITTAANMÄKI
Publisher : Birkhäuser
Page : 431 pages
File Size : 42,5 Mb
Release : 2013-11-22
Category : Science
ISBN : 9783034857154

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Numerical Methods for Free Boundary Problems by VEITTAANMÄKI Pdf

About 80 participants from 16 countries attended the Conference on Numerical Methods for Free Boundary Problems, held at the University of Jyviiskylii, Finland, July 23-27, 1990. The main purpose of this conference was to provide up-to-date information on important directions of research in the field of free boundary problems and their numerical solutions. The contributions contained in this volume cover the lectures given in the conference. The invited lectures were given by H.W. Alt, V. Barbu, K-H. Hoffmann, H. Mittelmann and V. Rivkind. In his lecture H.W. Alt considered a mathematical model and existence theory for non-isothermal phase separations in binary systems. The lecture of V. Barbu was on the approximate solvability of the inverse one phase Stefan problem. K-H. Hoff mann gave an up-to-date survey of several directions in free boundary problems and listed several applications, but the material of his lecture is not included in this proceedings. H.D. Mittelmann handled the stability of thermo capillary convection in float-zone crystal growth. V. Rivkind considered numerical methods for solving coupled Navier-Stokes and Stefan equations. Besides of those invited lectures mentioned above there were 37 contributed papers presented. We shall briefly outline the topics of the contributed papers: Stefan like problems. Modelling, existence and uniqueness.

Author : Hilary Ockendon,J. R. Ockendon
Publisher : Cambridge University Press
Page : 130 pages
File Size : 41,6 Mb
Release : 1995-01-27
Category : Mathematics
ISBN : 0521458811

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Viscous Flow by Hilary Ockendon,J. R. Ockendon Pdf

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 : P. N. Shankar
Publisher : Imperial College Press
Page : 598 pages
File Size : 42,8 Mb
Release : 2007
Category : Science
ISBN : 9781860947803

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Slow Viscous Flows by P. N. Shankar Pdf

Provides an account of internal, external and unsteady slow viscous flows, including the advances. This book shows how the method of eigenfunctions, in conjunction with least squares, can be used to solve problems of low Reynolds number flows, including three-dimensional internal and unsteady flows.

Author : Peder A. Tyvand
Publisher : WIT Press (UK)
Page : 266 pages
File Size : 48,5 Mb
Release : 1998
Category : Science
ISBN : UOM:39015045618553

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Free Surface Flows with Viscosity by Peder A. Tyvand Pdf

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 : Hermann Schlichting (Deceased),Klaus Gersten
Publisher : Springer
Page : 805 pages
File Size : 52,8 Mb
Release : 2016-10-04
Category : Technology & Engineering
ISBN : 9783662529195

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Boundary-Layer Theory by Hermann Schlichting (Deceased),Klaus Gersten Pdf

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 : William Frank Hughes
Publisher : Hemisphere Pub
Page : 242 pages
File Size : 48,5 Mb
Release : 1979
Category : Science
ISBN : MINN:31951000521556E

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An Introduction to Viscous Flow by William Frank Hughes Pdf

Author : John H. Merkin,Ioan Pop,Yian Yian Lok,Teodor Grosan
Publisher : Academic Press
Page : 294 pages
File Size : 50,6 Mb
Release : 2021-09-09
Category : Science
ISBN : 9780128232057

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Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids by John H. Merkin,Ioan Pop,Yian Yian Lok,Teodor Grosan Pdf

Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids presents new similarity solutions for fluid mechanics problems, including heat transfer of viscous fluids, boundary layer flow, flow in porous media, and nanofluids due to continuous moving surfaces. After discussing several examples of these problems, similarity solutions are derived and solved using the latest proven methods, including bvp4c from MATLAB, the Keller-box method, singularity methods, and more. Numerical solutions and asymptotic results for limiting cases are also discussed in detail to investigate how flow develops at the leading edge and its end behavior. Detailed discussions of mathematical models for boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid will help readers from a range of disciplinary backgrounds in their research. Relevant background theory will also be provided, thus helping readers solidify their computational work with a better understanding of physical phenomena. Provides mathematical models that address important research themes, such as boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid Gives detailed numerical explanations of all solution procedures, including bvp4c from MATLAB, the Keller-box method, and singularity methods Includes examples of computer code that will save readers time in their own work

Author : Anonim
Publisher : Unknown
Page : 456 pages
File Size : 51,8 Mb
Release : 1995
Category : Aeronautics
ISBN : UIUC:30112005546491

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Scientific and Technical Aerospace Reports by Anonim Pdf

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Author : Michel Krizek,Pekka Neittaanmaki,Rolf Stenberg
Publisher : CRC Press
Page : 370 pages
File Size : 54,8 Mb
Release : 1998-01-05
Category : Mathematics
ISBN : 0824701488

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Finite Element Methods by Michel Krizek,Pekka Neittaanmaki,Rolf Stenberg Pdf

"Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs."

Author : V.N. Constantinescu
Publisher : Springer Science & Business Media
Page : 495 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461242444

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Laminar Viscous Flow by V.N. Constantinescu Pdf

Mechanical engineering, an engineering discipline born of the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a series featuring graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors, each an expert in one of the areas of concentration. The names of the consulting editors are listed on the following page of this volume. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. Professor Winer, the consulting editor for tribology, and I are pleased to present this volume of the series: Laminar Viscous Flow, by Professor Constantinescu. The selection of this volume underscores again the interest of the Mechanical Engineering Series to provide our readers with topical monographs as well as graduate texts.

Author : Igor B. Petrov,Alena V. Favorskaya,Margarita N. Favorskaya,Sergey S. Simakov,Lakhmi C. Jain
Publisher : Springer
Page : 346 pages
File Size : 55,8 Mb
Release : 2019-01-08
Category : Technology & Engineering
ISBN : 9783030062286

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Smart Modeling for Engineering Systems by Igor B. Petrov,Alena V. Favorskaya,Margarita N. Favorskaya,Sergey S. Simakov,Lakhmi C. Jain Pdf

This book highlights the work of several world-class researchers on smart modeling of complex systems. The contributions are grouped into the four main categories listed below. · Numerical schemes construction for the solution of partial differential equations. · Numerical methods in continuum media mechanics problems. · Mathematical modeling in aerodynamics, plasma physics, deformable body mechanics, and geological hydrocarbon exploration. · Mathematical modeling in medical applications. The book offers a valuable resource for theoreticians and application scientists and engineers, as well as postgraduate students, in the fields of computational methods, numerical experiments, parallel algorithms, deformable solid bodies, seismic stability, seismic prospecting, migration, elastic and acoustic wave investigation, gas dynamics, astrophysics, aerodynamics, fluid dynamics, turbulent flows, hypersonic flows, detonation waves, composite materials, fracture mechanics, melting of metals, mathematical economics, medicine, and biology.

Author : John G. Heywood,Kyuya Masuda,Reimund Rautmann,Vsevolod A. Solonnikov
Publisher : Springer
Page : 329 pages
File Size : 52,9 Mb
Release : 2006-11-14
Category : Science
ISBN : 9783540474982

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The Navier-Stokes Equations II - Theory and Numerical Methods by John G. Heywood,Kyuya Masuda,Reimund Rautmann,Vsevolod A. Solonnikov Pdf

V.A. Solonnikov, A. Tani: Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid.- W. Borchers, T. Miyakawa:On some coercive estimates for the Stokes problem in unbounded domains.- R. Farwig, H. Sohr: An approach to resolvent estimates for the Stokes equations in L(q)-spaces.- R. Rannacher: On Chorin's projection method for the incompressible Navier-Stokes equations.- E. S}li, A. Ware: Analysis of the spectral Lagrange-Galerkin method for the Navier-Stokes equations.- G. Grubb: Initial value problems for the Navier-Stokes equations with Neumann conditions.- B.J. Schmitt, W. v.Wahl: Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq-equations.- O. Walsh: Eddy solutions of the Navier-Stokesequations.- W. Xie: On a three-norm inequality for the Stokes operator in nonsmooth domains.