Interfacial Wave Theory for Oscillatory Finger's Formation in a Hele-Shaw Cell : a Comparison with Experiments

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Publisher : Montréal : Department of Mathematics and Statistics, McGill University
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (358 download)

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Book Synopsis Interfacial Wave Theory for Oscillatory Finger's Formation in a Hele-Shaw Cell : a Comparison with Experiments by : McGill University. Department of Mathematics and Statistics

Download or read book Interfacial Wave Theory for Oscillatory Finger's Formation in a Hele-Shaw Cell : a Comparison with Experiments written by McGill University. Department of Mathematics and Statistics and published by Montréal : Department of Mathematics and Statistics, McGill University. This book was released on 1994 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interfacial Wave Theory of Pattern Formation

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Publisher : Springer Science & Business Media
ISBN 13 : 3642804357
Total Pages : 303 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Interfacial Wave Theory of Pattern Formation by : Jian-Jun Xu

Download or read book Interfacial Wave Theory of Pattern Formation written by Jian-Jun Xu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the last several years, the study of interfacial instability and pattern formation phenomena has preoccupied many researchers in the broad area of nonlinear science. These phenomena occur in a variety of dynamical sys tems far from equilibrium. In many practically very important physical sys tems some fascinating patterns are always displayed at the interface between solid and liquid or between two liquids. Two prototypes of these phenomena are dendrite growth in solidification and viscous fingering in a Hele-Shaw cell. These two phenomena occur in completely different scientific fields, but both are described by similar nonlinear free boundary problems of partial differential-equation systems; the boundary conditions on the interface for both cases contain a curvature operator involving the surface tension, which is nonlinear. Moreover, both cases raise the same challenging theoretical is sues, interfacial instability mechanisms and pattern selection, and it is now found that these issues can be solved by the same analytical approach. Thus, these two phenomena are regarded as special examples of a class of nonlinear pattern formation phenomena in nature, and they are the prominent topics of the new interdisciplinary field of nonlinear science. This research monograph is based on a series of lectures I have given at McGill University, Canada (1993-1994), Northwestern Poly technical In stitute, China (1994), Aachen University, Germany (1994), and the CRM summer school at Banff, Alberta, Canada (1995).

Interfacial Wave Theory of Pattern Formation in Solidification

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Publisher : Springer
ISBN 13 : 3319526634
Total Pages : 605 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Interfacial Wave Theory of Pattern Formation in Solidification by : Jian-Jun Xu

Download or read book Interfacial Wave Theory of Pattern Formation in Solidification written by Jian-Jun Xu and published by Springer. This book was released on 2017-05-23 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences.

Interfacial Wave Theory of Pattern Formation

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ISBN 13 : 9783642804366
Total Pages : 312 pages
Book Rating : 4.8/5 (43 download)

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Book Synopsis Interfacial Wave Theory of Pattern Formation by : Jian-Jun Xu

Download or read book Interfacial Wave Theory of Pattern Formation written by Jian-Jun Xu and published by . This book was released on 1997-12-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1987 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundaries, Interfaces, and Transitions

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821805053
Total Pages : 364 pages
Book Rating : 4.8/5 (5 download)

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Book Synopsis Boundaries, Interfaces, and Transitions by : Michel C. Delfour

Download or read book Boundaries, Interfaces, and Transitions written by Michel C. Delfour and published by American Mathematical Soc.. This book was released on 1998 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together tools that have been developed in a priori distant areas of mathematics, mechanics and physics. It provides coverage of selected contemporary problems in the areas of optimal design, mathematical models in material sciences, hysteresis, superconductivity, phase transition, crystal growth, moving boundary problems, thin shells and some of the associated numerical issues.

Global Instability of Viscous Fingering in a Hele-Shaw Cell : Formation of Oscillatory Fingers

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ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (238 download)

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Book Synopsis Global Instability of Viscous Fingering in a Hele-Shaw Cell : Formation of Oscillatory Fingers by : McGill University. Department of Mathematics and Statistics

Download or read book Global Instability of Viscous Fingering in a Hele-Shaw Cell : Formation of Oscillatory Fingers written by McGill University. Department of Mathematics and Statistics and published by . This book was released on 1990 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Growth of Fingers at an Unstable Diffusing Interface in a Porous Medium Or Hele-Shaw Cell

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ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (633 download)

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Book Synopsis Growth of Fingers at an Unstable Diffusing Interface in a Porous Medium Or Hele-Shaw Cell by : R. A. Wooding

Download or read book Growth of Fingers at an Unstable Diffusing Interface in a Porous Medium Or Hele-Shaw Cell written by R. A. Wooding and published by . This book was released on 1969 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interfacial Wave Theory of Dendritic Growth from a Binary Mixture : a Comparison with Experiments

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ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (272 download)

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Book Synopsis Interfacial Wave Theory of Dendritic Growth from a Binary Mixture : a Comparison with Experiments by : McGill University. Department of Mathematics and Statistics

Download or read book Interfacial Wave Theory of Dendritic Growth from a Binary Mixture : a Comparison with Experiments written by McGill University. Department of Mathematics and Statistics and published by . This book was released on 1992 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Aerospace Abstracts

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ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.3/5 (91 download)

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Download or read book International Aerospace Abstracts written by and published by . This book was released on 1996 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 1278 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1984 with total page 1278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics Briefs

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ISBN 13 :
Total Pages : 1224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Report

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ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Report by : United States. National Bureau of Standards

Download or read book Report written by United States. National Bureau of Standards and published by . This book was released on 1968 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Hydraulic Laboratory Research in the United States

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ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Current Hydraulic Laboratory Research in the United States by :

Download or read book Current Hydraulic Laboratory Research in the United States written by and published by . This book was released on 1970 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Saffman-Taylor Fingers in Deformed Hele-Shaw Cells /cDonal A. Gallagher ; P.G. Saffman, Advisor

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ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.:/5 (437 download)

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Book Synopsis Saffman-Taylor Fingers in Deformed Hele-Shaw Cells /cDonal A. Gallagher ; P.G. Saffman, Advisor by : Donal A. Gallagher

Download or read book Saffman-Taylor Fingers in Deformed Hele-Shaw Cells /cDonal A. Gallagher ; P.G. Saffman, Advisor written by Donal A. Gallagher and published by . This book was released on 1999 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NBS Special Publication

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ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1968 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: