Inequalities for single crystal ribbon growth by edge-defined film-fed growth technique (Q938446)
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scientific article; zbMATH DE number 5313238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for single crystal ribbon growth by edge-defined film-fed growth technique |
scientific article; zbMATH DE number 5313238 |
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Inequalities for single crystal ribbon growth by edge-defined film-fed growth technique (English)
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19 August 2008
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The meniscus shape, described by nonlinear ordinary differential equation \[ z''= {\rho gz- p\over\gamma} (1+ (z')^2)^{3/2}, \] for \(0< x_1\leq x\leq x_0\), is analyzed as a function of \(p\) and its static stability is investigated. Inequalities are presented for \(p\), which are necessary or sufficient conditions for the stable and convex free surface of a static meniscus. Some numerical computations are presented.
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0.8750124573707581
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0.8634868264198303
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