Titlebook: Interfacial Wave Theory of Pattern Formation; Selection of Dendrit Jian-Jun Xu Book 19981st edition Springer-Verlag Berlin Heidelberg 1998

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薄膜

stressors

Springer Series in Synergeticshttp://image.papertrans.cn/i/image/470964.jpg

Plaque

Unidirectional Solidification and the Mullins-Sekerka Instability,Before we begin the study of dendritic growth, it is appropriate to examine a simple case first: the instability of a planar interface in unidirectional solidification. Mullins and Sekerka were the first, in 1963, to perform a systematic analysis of this system. Their linear stability analysis is now called the . [2.1].

净礼

Steady State of Dendrite Growth with Zero Surface Tension and Its Regular Perturbation Expansion,For zero surface tension (. = 0) and arbitrary undercooling, the three-dimensional system (3.13)–(3.25) allows the following steady similarity solution.where ..(.) is the exponential function defined as.(see [4.1]). This solution was first found by Ivantsov in 1946 (cf. [4.2] and [4.3]) and is now called the Ivantsov solution.

Ptosis

conjunctivitis

The Steady State for Dendrite Growth with Nonzero Surface Tension, solution itself. How to specify the steady state solution in dendrite growth is an important subject which must be approached with great caution. In the literature, many researchers have looked for the classic, steady needle solution for dendrite growth. Such efforts have not been successful for the case of isotropic surface tension.

Axillary

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ALIAS

https://doi.org/10.1007/978-3-642-80435-9condensed matter; condensed matter physics; crystal; curvilinear coordinates; dendrite growth; eigenvalue