Diffusion limited growth-up of channels of ICF and its influence on integral flow through the channel

2009 ◽  
Vol 45 (4) ◽  
pp. 613-621
Author(s):  
V. Frishfelds ◽  
◽  
A. Jakovičs ◽  
B. Nacke ◽  
E. Baake ◽  
...  
Keyword(s):  
Limited Growth ◽  
Diffusion Limited ◽  
Flow Through

The Formation of Cu3Si from Cu/a-Si Multilayers

1997 ◽  
Vol 481 ◽  
Author(s):  
R. R. Chromik ◽  
W. K. Neils ◽  
E. J. Cotts
Keyword(s):  
Diffusion Couples ◽  
X Ray Diffraction ◽  
Limited Growth ◽  
Scanning Calorimetry ◽  
Individual Layer ◽  
Diffusion Limited ◽  
Reaction Constant ◽  
Multilayered Composites ◽  
Reaction Constants ◽  
Kinetics Of

ABSTRACTThe kinetics of the formation of Cu3Si in Cu/a-Si diffusion couples have been investigated by means of differential scanning calorimetry and x-ray diffraction. Multilayered composites of average stoichiometry Cu3Si were prepared by sputter deposition with individual layer thicknesses varying in different samples between 2 and 100 nm. We observed diffusion limited growth of Cu3 Si upon annealing these diffusion couples below 500 K. Reaction constants were measured for a temperature range of 455 to 495 K for thicknesses of growing Cu3Si between 2.6 and 80 nm. The temperature dependence of the reaction constant, k2, was characterized as k2 = k0 exp(− Ea/kbT) with activation energy, Ea = 1.0 eV/atom and pre-factor, k0 = 1.9×10−3 cm2/s.

Stochastic Nature of the Casting Solidification Displayed by Micro-Modelling and Cellular Automata Method

2013 ◽  
Vol 197 ◽  
pp. 101-106
Author(s):  
Andriy A. Burbelko ◽  
Daniel Gurgul ◽  
Wojciech Kapturkiewicz ◽  
Jacek Początek ◽  
Marek Wróbel
Keyword(s):  
Diffusion Field ◽  
Thin Wall ◽  
Cooling Curves ◽  
Limited Growth ◽  
Voronoi Polyhedron ◽  
Stochastic Nature ◽  
Shape Prediction ◽  
Diffusion Limited ◽  
Average Shape ◽  
Solidification Processes

Some aspects of stochastic nature of the solidification processes are described. Firstly, the influence of the random grains nucleation on the cooling curves repeatability in the thin wall casting is presented. Secondly, the foundations of an average shape prediction for geometry of ele¬mentary diffusion field (concept of the Averaged Voronoi Polyhedron, AVP) are shown for the mi¬cro-modelling of the diffusion limited growth. Stochastic nature of the grains nucleation and growth is taken into account in the solidification modelling based on the Cellular Automaton technique (CA).

Intrinsic instability of the concentration field in diffusion-limited growth and its effect on crystallization

1999 ◽  
Vol 60 (2) ◽  
pp. 1901-1905 ◽  
Author(s):  
Mu Wang ◽  
Xiao-Bo Yin ◽  
Peter G. Vekilov ◽  
Ru-Wen Peng ◽  
Nai-Ben Ming
Keyword(s):  
Concentration Field ◽  
Limited Growth ◽  
Diffusion Limited

Modelling of Diffusion-Limited Growth in the Electrodeposition of Porous ZnO

2020 ◽  
Vol MA2020-01 (19) ◽  
pp. 1209-1209
Author(s):  
Christian Lupo ◽  
Derck Schlettwein
Keyword(s):  
Limited Growth ◽  
Diffusion Limited

Diffusion-controlled solidification of a ternary melt from a cooled boundary

2001 ◽  
Vol 432 ◽  
pp. 201-217 ◽  
Author(s):  
ANNELI AITTA ◽  
HERBERT E. HUPPERT ◽  
M. GRAE WORSTER
Keyword(s):  
Ternary Phase ◽  
Ternary Phase Diagram ◽  
Potassium Nitrate ◽  
Temperature Fields ◽  
Limited Growth ◽  
Igneous Petrology ◽  
Diffusion Limited ◽  
Internal Phase ◽  
Diffusion Controlled ◽  
Eutectic Front

We present details of an experimental study of crystallization adjacent to a cooled boundary from an aqueous solution of potassium nitrate and sodium nitrate. This transparent system is typical of many ternary melts that do not form solid solutions, including examples in igneous petrology and metallurgy. We have measured the rates of advance of the front of crystallization and the eutectic front, behind which the system is completely solid. From careful measurements of the concentration and temperature fields, we have been able to infer the location of an internal phase boundary: the cotectic front separating a region in which only one component of the ternary system forms crystals from a region in which two components form crystals. Our experiments were conducted under conditions in which fluid flow is minimal, so that rates of crystallization are determined principally by the diffusive transport of heat. We have confirmed that the thicknesses of the various regions all grow in proportion to the square root of time, as is expected of diffusion-limited growth, and have determined the constants of proportionality for a range of different initial concentrations and boundary temperatures. We have found evidence to suggest that there may be a significant nucleation delay in the secondary and tertiary crystallization. Our measurements of concentration provide much more information about the ternary phase diagram than has hitherto been available.

TIP INSTABILITY DURING CONFINED DIFFUSION-LIMITED GROWTH

1988 ◽  
Vol 02 (08) ◽  
pp. 945-951 ◽  
Author(s):  
DAVID A. KESSLER ◽  
HERBERT LEVINE
Keyword(s):  
Evolution Equations ◽  
Dynamical Behavior ◽  
Stable Steady State ◽  
Time Behavior ◽  
Two Dimensional ◽  
Long Time Behavior ◽  
Limited Growth ◽  
Channel Geometry ◽  
Diffusion Limited ◽  
Long Time

We study diffusion-limited crystal growth in a two dimensional channel geometry. We demonstrate that although there exists a linearly stable steady-state finger solution of the pattern evolution equations, the true dynamical behavior can be controlled by a tip-widening instability. Possible scenarios for the long-time behavior of the system are presented.

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