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Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 19-207
Full Name: Simona Epure
Position: Ph.D. Candidate
Age: ON
Sex: Female
Address: Department of Computer Science, West University of Timisoara, Blv. V. Parvan 4, Timisoara, 300223
Country: ROMANIA
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E-mail address: simona_epure7@yahoo.com
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Title of the Paper: Analytical and numerical studies of the meniscus equation in the case of crystals grown in zero gravity conditions by the Dewetted Bridgman technique
Authors as they appear in the Paper: Simona Epure
Email addresses of all the authors: simona_epure7@yahoo.com
Number of paper pages: 8
Abstract: On the physical point of view, the dewetting phenomenon is governed by the Young-Laplace equation of a capillary surface in equilibrium, which is a nonlinear partial differential equation of second order. Starting from this equation, an analytical expression of the meniscus surface in zero gravity condition was established, leading to important information about the meniscus shape, useful for further stability analysis of the growth process. The analytical results were validated by the numerical studies. Therefore, the Young-Laplace equation has been solved numerically, in the axi-symmetric case, using the adaptive 4th order Runge-Kutta method for InSb crystals.
Keywords: Dewetted Bridgman crystal growth technique, Growth from the melt, Nonlinear partial differential equation, Young-Laplace equation.
EXTENSION of the file: .pdf
Special (Invited) Session: Analytical study for the meniscus equation in the case of dewetted Bridgman crystal growth technique, in zero gravity
Organizer of the Session: 639-306
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