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...

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

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Total Pages : pages
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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:

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:

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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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:

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:

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.

The Role of Convection and Fluid Flow in Solidification and Crystal Growth

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Publisher : Elsevier
ISBN 13 : 1483213781
Total Pages : 153 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Role of Convection and Fluid Flow in Solidification and Crystal Growth by : D. T. J. Hurle

Download or read book The Role of Convection and Fluid Flow in Solidification and Crystal Growth written by D. T. J. Hurle and published by Elsevier. This book was released on 2014-12-01 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicochemical Hydrodynamics: The Role of Convection and Fluid Flow in Solidification and Crystal Growth focuses on the processes, methodologies, reactions, and approaches involved in solidification and crystal growth brought about by convection and fluid flow. The selection first offers information on the techniques of crystal growth, convection in Czochralski growth melts, and Marangoni effects in crystal growth melts. Discussions focus on crystal growth under reduced gravity, Marangoni effects in growth from a crucible, thermocapillary convection in floating zones, near-field flow, Czochralski bulk flow, and melt, solution, and vapor growth. The text then examines the effect of convective flow on morphological stability and time-dependent natural convection in crystal growth systems. The manuscript elaborates on the effects of fluid flow on the solidification of industrial castings and ingots and application of holographic interferometry to hydrodynamic phenomena in crystal growth. Topics include effects of fluid flow on crystal structure, importance of macrosegregation defects in castings, value of convection in crystal growth, and occurrence of thermal oscillations in fluids. The selection is a dependable reference for readers interested in the role of convection and fluid flow in solidification and crystal growth.

Energy Stability of Thermocapillary Convection in Models of the Float-zone Process

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ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (23 download)

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Book Synopsis Energy Stability of Thermocapillary Convection in Models of the Float-zone Process by : George Paul Neitzel

Download or read book Energy Stability of Thermocapillary Convection in Models of the Float-zone Process written by George Paul Neitzel and published by . This book was released on 1985 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Microgravity Science and Applications Program Tasks

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Publisher :
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:

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:

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.

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.

Microgravity Science and Applications Program Tasks, 1990 Revision

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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:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 836 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 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Microgravity Science & Applications

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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: