Linear Stability of Thermocapillary Convection in a Model of the Float-zone Crystal-growth Process

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ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.:/5 (267 download)

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Book Synopsis Linear Stability of Thermocapillary Convection in a Model of the Float-zone Crystal-growth Process by : Kai-Ti R. Chang

Download or read book Linear Stability of Thermocapillary Convection in a Model of the Float-zone Crystal-growth Process written by Kai-Ti R. Chang and published by . This book was released on 1991 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability and Instability of Thermocapillary Convection in Models of the Float-Zone Crystal-Growth Process

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Publisher : Independently Published
ISBN 13 : 9781792844089
Total Pages : 28 pages
Book Rating : 4.8/5 (44 download)

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Book Synopsis Stability and Instability of Thermocapillary Convection in Models of the Float-Zone Crystal-Growth Process by : National Aeronautics and Space Adm Nasa

Download or read book Stability and Instability of Thermocapillary Convection in Models of the Float-Zone Crystal-Growth Process written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2019-01-03 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: This project was concerned with the determination of conditions of guaranteed stability and instability for thermocapillary convection in a model of the float-zone crystal-growth process. This model, referred to as the half-zone, was studied extensively, both experimentally and theoretically. Our own earlier research determined, using energy-stability theory, sufficient conditions for stability to axisymmetric disturbances. Nearly all results computed were for the case of a liquid with Prandtl Number Pr = 1. Attempts to compute cases for higher Prandtl numbers to allow comparison with the experimental results of other researchers were unsuccessful, but indicated that the condition guaranteeing stability against axisymmetric disturbances would be a value of the Marangoni number (Ma), significantly higher than that at which oscillatory convection was observed experimentally. Thus, additional results were needed to round out the stability picture for this model problem. The research performed under this grant consisted of the following: (1) computation of energy-stability limits for non-axisymmetric disturbances; (2) computation of linear-stability limits for axisymmetric and non-axisymmetric disturbances; (3) numerical simulation of the basic state for half- and full-zones with a deformable free surface; and (4) incorporation of radiation heat transfer into a model energy-stability problem. Each of these is summarized briefly below. Neitzel, G. P. NASA-CR-192695, NAS 1.26:192695 NAG3-1221...

Linear Stability Theory of Thermo-capillary Convection in a Model of Float-zone Crystal Growth

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Linear Stability Theory of Thermo-capillary Convection in a Model of Float-zone Crystal Growth by : G. P. Neitzel

Download or read book Linear Stability Theory of Thermo-capillary Convection in a Model of Float-zone Crystal Growth written by G. P. Neitzel and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability and Instability of Thermocapillary Convection in Models of the Float-zone Crystal-growth Process

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (281 download)

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Book Synopsis Stability and Instability of Thermocapillary Convection in Models of the Float-zone Crystal-growth Process by : G. Paul Neitzel

Download or read book Stability and Instability of Thermocapillary Convection in Models of the Float-zone Crystal-growth Process written by G. Paul Neitzel and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy-stability of Thermocapillary Convection in a Model of Float-zone Crystal Growth

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Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (224 download)

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Book Synopsis Energy-stability of Thermocapillary Convection in a Model of Float-zone Crystal Growth by : Yonghong Shen

Download or read book Energy-stability of Thermocapillary Convection in a Model of Float-zone Crystal Growth written by Yonghong Shen and published by . This book was released on 1989 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermocapillary Convection in Models of Crystal Growth

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Publisher : Springer
ISBN 13 : 9783662147368
Total Pages : 226 pages
Book Rating : 4.1/5 (473 download)

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Book Synopsis Thermocapillary Convection in Models of Crystal Growth by : Hendrik C. Kuhlmann

Download or read book Thermocapillary Convection in Models of Crystal Growth written by Hendrik C. Kuhlmann and published by Springer. This book was released on 2014-03-12 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This critical overview describes fluid flow driven by the thermocapillary effect in models of crystal growth. Simple models are the floating-zone technique and the open-boat technique. Basic equations, boundary layer scaling, stability analysis, pattern formation and additional buoyancy are discussed. Particular emphasis is given to the understanding of the physics of flow. This reference book gives a state-of-the-art report and reviews the literature available.

NASA Technical Memorandum

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Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Memorandum by : United States. National Aeronautics and Space Administration

Download or read book NASA Technical Memorandum written by United States. National Aeronautics and Space Administration and published by . This book was released on 1992 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Energy Method, Stability, and Nonlinear Convection

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217401
Total Pages : 461 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Energy Method, Stability, and Nonlinear Convection by : Brian Straughan

Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.

Microgravity Science and Applications Program Tasks

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ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Microgravity Science and Applications Program Tasks by :

Download or read book Microgravity Science and Applications Program Tasks written by and published by . This book was released on 1992 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Microgravity Science and Applications Program Tasks

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ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Microgravity Science and Applications Program Tasks by : United States. Office of Space Science and Applications

Download or read book Microgravity Science and Applications Program Tasks written by United States. Office of Space Science and Applications and published by . This book was released on 1991 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermocapillary Convection in Models of Crystal Growth

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Publisher : Springer
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Thermocapillary Convection in Models of Crystal Growth by : Hendrik C. Kuhlmann

Download or read book Thermocapillary Convection in Models of Crystal Growth written by Hendrik C. Kuhlmann and published by Springer. This book was released on 1999 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This critical overview describes fluid flow driven by the thermocapillary effect in models of crystal growth. Simple models are the floating-zone technique and the open-boat technique. Basic equations, boundary layer scaling, stability analysis, pattern formation and additional buoyancy are discussed. Particular emphasis is given to the understanding of the physics of flow. This reference book gives a state-of-the-art report and reviews the literature available.

Microgravity Science & Applications

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Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Microgravity Science & Applications by :

Download or read book Microgravity Science & Applications written by and published by . This book was released on 1993 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764350536
Total Pages : 344 pages
Book Rating : 4.3/5 (55 download)

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Book Synopsis Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices by : Randolph E. Bank

Download or read book Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices written by Randolph E. Bank and published by Springer Science & Business Media. This book was released on 1994 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Circuit Simulation.- A new efficient numerical integration scheme for highly oscillatory electric circuits.- Numerische Lösung von hierarchisch strukturierten Systemen von Algebro-Differentialgleichungen.- Partitioning and multirate strategies in latent electric circuits.- Circuit simulation - an application for parallel ODE solvers?.- Numerical stability criteria for differential-algebraic systems.- Analysis of linear time-invariant networks in the frequency domain.- Limit cycle computation of oscillating electric circuits.- Timestep control for charge conserving integration in circuit simulation.- Ein Zusammenhang zwischen Waveformrelaxation und Iterationsverfahren für nichtlinear gestörte Gleichungen.- Multilevel-Newton-Verfahren in der Transientenanalyse elektrischer Netzwerke.- Transientensimulation elektrischer Netwerke mit TRBDF.- The transient behavior of an oscillator.- Device Simulation.- Numerical simulation of the carrier transport in semiconductor devices on the base of an energy model.- On uniqueness of solutions to the drift-diffusion-model of semiconductor devices.- On restrictions for discretizations of the simplified linearized van Roosbroeck's equations.- Mixed finite element discretization of continuity equations arising in semiconductor device simulation.- A piecewise linear Petrov-Galerkin analysis of the box-method.- Stability analysis of thermocapillary convection in semiconductor crystal growth.- The method of Baliga-Patankar and 3-D device simulation.- A mass conserving moving grid method for dopant simulation.- Numerical approaches to the kinetic semiconductor equations.- The non-stationary semiconductor model with bounded convective velocity and generation/recombination term.

Crystal Growth Processes Based on Capillarity

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Publisher : John Wiley & Sons
ISBN 13 : 1444320211
Total Pages : 566 pages
Book Rating : 4.4/5 (443 download)

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Book Synopsis Crystal Growth Processes Based on Capillarity by : Thierry Duffar

Download or read book Crystal Growth Processes Based on Capillarity written by Thierry Duffar and published by John Wiley & Sons. This book was released on 2010-03-30 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystal Growth Processes Based on Capillarity closely examines crystal growth technologies, like Czochralski, Floating zone, and Bridgman. The up-to-date reference contains detailed technical and applied information, especially on the difficulty of crystal shape control. Including practical examples and software applications, this book provides both theoretical and experimental sections. Edited by a well-respected academic with over twenty-five years of experience in this field, the text is an excellent resource for professionals in crystal growth as well as for students in understanding the fundamentals and the technology of crystal growth.

Microgravity Science and Applications Program Tasks, 1990 Revision

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Microgravity Science and Applications Program Tasks, 1990 Revision by :

Download or read book Microgravity Science and Applications Program Tasks, 1990 Revision written by and published by . This book was released on 1991 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evolution of Spontaneous Structures in Dissipative Continuous Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540495371
Total Pages : 592 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Evolution of Spontaneous Structures in Dissipative Continuous Systems by : Friedrich H. Busse

Download or read book Evolution of Spontaneous Structures in Dissipative Continuous Systems written by Friedrich H. Busse and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decades the of the formation of structures past subject spontaneous in far from has into a branch of - systems equilibrium major physics grown search with ties to It has become evident that strong neighboring disciplines. a diverse of can be understood within a common mat- phenomena range matical framework which has been called nonlinear of continuous dynamics This name the close to the field of nonlinear systems. emphasizes relationship of with few of freedom which has evolved into a dynamics systems degrees mature in the recent features mathematically subject past. Many dynamical of continuous be described reduction few can a to a systems actually through of freedom and of the latter of continue to degrees properties type systems of continuous the inspire study systems. The of this book is to demonstrate the numerous goal through examples that exist for the of nonlinear the opportunities study phenomena through tools of mathematical and use of common analyses dynamical interpretations. Instead of overview of the a providing comprehensive rapidly evolving field, the contributors to this book are to communicate to a wide scientific trying audience the of what have learnt about the formation of essence they spon- neous structures in continuous and about the dissipative systems competition between order and chaos that characterizes these It is that systems. hoped the book will be even to those scientists whose not helpful are disciplines the authors.

Bifurcation and Symmetry

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Publisher : Birkhäuser
ISBN 13 : 3034875363
Total Pages : 323 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Bifurcation and Symmetry by : BÖHMER

Download or read book Bifurcation and Symmetry written by BÖHMER and published by Birkhäuser. This book was released on 2013-03-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a property which occurs throughout nature and it is therefore natural that symmetry should be considered when attempting to model nature. In many cases, these models are also nonlinear and it is the study of nonlinear symmetric models that has been the basis of much recent work. Although systematic studies of nonlinear problems may be traced back at least to the pioneering contributions of Poincare, this remains an area with challenging problems for mathematicians and scientists. Phenomena whose models exhibit both symmetry and nonlinearity lead to problems which are challenging and rich in complexity, beauty and utility. In recent years, the tools provided by group theory and representation theory have proven to be highly effective in treating nonlinear problems involving symmetry. By these means, highly complex situations may be decomposed into a number of simpler ones which are already understood or are at least easier to handle. In the realm of numerical approximations, the systematic exploitation of symmetry via group repre sentation theory is even more recent. In the hope of stimulating interaction and acquaintance with results and problems in the various fields of applications, bifurcation theory and numerical analysis, we organized the conference and workshop Bifurcation and Symmetry: Cross Influences between Mathematics and Applications during June 2-7,8-14, 1991 at the Philipps University of Marburg, Germany.