Normalized increment of crystal mass as a possible universal parameter for dendritic growth / Martyushev L. M.,Terentiev P. S. // PHYSICAL REVIEW E. - 2012. - V. 85, l. 4, 1.

ISSN/EISSN:

2470-0045 / 2470-0053

Type:

Article

Abstract:

The unsteady growth of ammonium chloride dendrites during crystallization from an aqueous solution in a thin capillary is experimentally investigated. The dependence of the crystal area S on the time t for various sectors located along primary branches and side branches is measured. The hypothesis that the ratio between the area change and the area itself {[}S'(t)/S(t)] is one and the same for different but simultaneously growing parts of an unsteady dendrite is advanced and confirmed. This conclusion allows a curve to be proposed to describe the evolution of the dendrite area (or its part), with the form S(t) = const t(a) exp(-bt), where a and b are the parameters whose values are determined in the paper. The nondimensionalization of S(t) and S'(t)/S(t) (using the full dendrite growth time) produces simple one-parameter functions that depend on a single parameter a (which is presumably associated only with the physical and chemical characteristics of the crystallized system and, in our case, is equal to 1.7 +/- 0.2).

Author keywords:

ENTROPY PRODUCTION PRINCIPLE; PATTERN SELECTION; SHAPE

DOI:

10.1103/PhysRevE.85.041604

Web of Science ID:

ISI:000303310200006

Соавторы в МНС:

Другие поля

Поле	Значение
Month	APR 27
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	041604
EISSN	2470-0053
Keywords-Plus	ENTROPY PRODUCTION PRINCIPLE; PATTERN SELECTION; SHAPE
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	leonidmartyushev@gmail.com
Number-of-Cited-References	30
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	21
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	932SG