Interfacial wave theory of solidification: Dendritic pattern formation and selection of growth velocity

1991 ◽  
Vol 43 (2) ◽  
pp. 930-947 ◽  
Author(s):  
Jian-Jun Xu
Keyword(s):  
Pattern Formation ◽  
Growth Velocity ◽  
Wave Theory ◽  
Interfacial Wave ◽  
Selection Of

Development of Coolsmart Functional Knitted Fabrics

2012 ◽  
Vol 503-504 ◽  
pp. 498-502 ◽  
Author(s):  
Lan Qing Feng ◽  
Yan Jun Liu
Keyword(s):  
Pattern Formation ◽  
Moisture Absorption ◽  
Raw Materials ◽  
Knitted Fabric ◽  
Machine Code ◽  
Knitted Fabrics ◽  
Bacterial Function ◽  
Fabric Structures ◽  
Selection Of

Based on the main features of coolsmart fiber and the theory of knitted fabric structures， two structures of sports and leisure knitted fabrics with fast moisture absorption, description and anti-bacterial function are introduced in this article, detailing the selection of raw materials, pattern formation effect, the machine code organization and cam set out.

Influence of growth velocity variations on the pattern formation during the directional solidification of ternary eutectic Al-Ag-Cu

2017 ◽  
Vol 136 ◽  
pp. 335-346 ◽  
Author(s):  
Johannes Hötzer ◽  
Philipp Steinmetz ◽  
Anne Dennstedt ◽  
Amber Genau ◽  
Michael Kellner ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Directional Solidification ◽  
Growth Velocity ◽  
Ternary Eutectic ◽  
Velocity Variations

scholarly journals An application of the interfacial wave theory of solidification

1991 ◽  
Vol 69 (11) ◽  
pp. 1326-1333
Author(s):  
Andonowati Andonowati
Keyword(s):  
Crystal Growth ◽  
Thermal Diffusivity ◽  
Solid State ◽  
Eigenvalue Problem ◽  
Stable State ◽  
Wave Theory ◽  
Interfacial Wave ◽  
Dendritic Crystal ◽  
Linear Eigenvalue Problem ◽  
Quantum Condition

In this paper we apply the interfacial wave theory of dendritic crystal growth to the case in which the thermal diffusivity constant and the specific heat of the liquid state are different from those of the solid state. The problem is formulated as a linear eigenvalue problem. A quantum condition for the eigenvalues is derived and a discrete set of possible solutions is found. The selection problem is solved using the global neutral stable state analysis proposed by the interfacial wave theory.

Multiple modes of laser-induced pattern formation in nanoscopic Co films

2006 ◽  
Vol 960 ◽  
Author(s):  
Christopher Favazza ◽  
Justin Trice ◽  
Radhakrishna Sureshkumar ◽  
Ramki Kalyanaraman
Keyword(s):  
Pattern Formation ◽  
Laser Intensity ◽  
Effective Means ◽  
Cost Effective ◽  
Range Order ◽  
Laser Interference ◽  
Pulse Laser Irradiation ◽  
Single Beam ◽  
Beam Laser ◽  
Selection Of

ABSTRACTDewetting instabilities in nanoscopic Co films, induced by uniform multiple ns pulse laser irradiation, leads to a system of nanoparticles with robust spatial order. On the other hand, irradiation by non-uniform laser intensity, such as with a two beam laser interference pattern generates a quasi two-dimensional pattern of nanoparticles possessing long range order (LRO) and short range order (SRO). Here we discuss the various instabilities that are responsible for the production of these dissimilar patterns and length scales on the basis of their time scales. For the case of single beam irradiation, the film progresses in a manner that can be attributed to classical spinodal dewetting. Pattern formation from interference irradiation is the result of time scale-based selection of competing processes, which can be chosen by controlling the film thickness. This approach promises a simple and cost-effective means to self-assemble various nanostructures.

Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square

1991 ◽  
Vol 434 (1891) ◽  
pp. 413-417 ◽  
Keyword(s):  
Pattern Formation ◽  
General Pattern ◽  
Reaction Diffusion ◽  
Nonlinear Effects ◽  
Neural Nets ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Two Dimensional ◽  
Linearized Model ◽  
Selection Of

Bifurcation to spatial patterns in a two-dimensional reaction—diffusion medium is considered. The selection of stripes versus spots is shown to depend on the nonlinear terms and cannot be discerned from the linearized model. The absence of quadratic terms leads to stripes but in most common models quadratic terms will lead to spot patterns. Examples that include neural nets and more general pattern formation equations are considered.

Interfacial wave theory for oscillatory finger formation in a Hele–Shaw cell: a comparison with experiments

1996 ◽  
Vol 7 (2) ◽  
pp. 169-199 ◽  
Author(s):  
Jian-Jun Xu
Keyword(s):  
Wave Theory ◽  
Quantitative Agreement ◽  
Instability Mechanism ◽  
Interfacial Wave ◽  
Wave Instability ◽  
Viscous Fingers ◽  
Theoretical Predictions ◽  
Finger Tip ◽  
Hele Shaw Cell ◽  
Comparison With Experiments

This paper is devoted to an analysis of the formation of oscillatory viscous fingers in a Hele-Shaw cell on the basis of the interfacial wave theory, previously established for the pattern formation dynamics in dendrite growth, as well as in the classic Saffman–Taylor flow. In particular, we study the problem of selection and persistence of oscillatory fingers with a tiny bubble at the finger tip. We obtain uniformly valid asymptotic solutions for this problem, and derive the linear, global wave instability mechanism for this more complicated system. The global, neutrally stable modes are computed in a large region of parameters, which select the form of oscillatory fingers in the later stage of evolution. We have compared the theoretical predictions with the experimental data by Couder et al. (1986) and by Kopf-Sill & Homsy (1987), and found excellent quantitative agreement.

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