A MATHEMATICAL MODEL FOR SOLIDIFICATION OF BINARY EUTECTIC SYSTEM INCLUDING RELAXATION TIME

2016 ◽  
Vol 8 (1) ◽  
pp. 11-30 ◽  
Author(s):  
Sarita Yadav ◽  
Subrahmanayam Upadhyay ◽  
Kabindra Nath Rai
Keyword(s):  
Mathematical Model ◽  
Relaxation Time ◽  
Eutectic System ◽  
Binary Eutectic

Studies in the system BaO–Al2O3–SiO2 III. The binary system sanbornite–eelsian

1969 ◽  
Vol 37 (288) ◽  
pp. 459-465 ◽  
Author(s):  
H. C. Lin ◽  
W. R. Foster
Keyword(s):  
Solid Solution ◽  
Binary System ◽  
Eutectic System ◽  
Naturally Occurring ◽  
Binary Eutectic ◽  
Quenching Method

SummaryThe system sanbornite-celsian has been investigated by the quenching method, and the results compared with earlier studies. The system is essentially a simple binary eutectic system with little or no solid solution. The eutectic is located at a composition of 69% sanbornite and 31% celsian (by weight) and at a temperature of 1227±3°C. No evidence for substantial solid solution of celsian in sanbornite, as reported in previous work, was found. Paracelsian, a naturally occurring polymorph of celsian, was not encountered in the study.

BINARY MEDICINAL SYSTEM: ANTIINFLAMMATORY ACTIVITY OF THE BINARY EUTECTIC SYSTEM

2021 ◽  
Vol 24 (2) ◽  
pp. 35-41
Author(s):  
M.L. Tkachenko ◽  
M.A. Loseva ◽  
L.E. Zhnyakina ◽  
A.V. Lyamin
Keyword(s):  
Antiinflammatory Activity ◽  
Eutectic System ◽  
Binary Eutectic

A Heat-Transfer Analysis of the Solidification of a Binary Eutectic System

1967 ◽  
Vol 89 (3) ◽  
pp. 230-233 ◽  
Author(s):  
R. H. Tien ◽  
G. E. Geiger
Keyword(s):  
Heat Transfer ◽  
Error Function ◽  
Pure Metal ◽  
Point Of View ◽  
Heat Transfer Analysis ◽  
Graphical Form ◽  
Eutectic System ◽  
Function Solution ◽  
Infinite Region ◽  
Binary Eutectic

The solidification of a binary system differs from a pure metal in that the latent heat effect no longer occurs at the melting point but rather in a freezing zone between the liquidus and solidus temperatures. Such solidification is analyzed from a heat-transfer point of view. The system considered occupies a semi-infinite region, is initially at the liquidus temperature, and at all subsequent times the surface temperature is considered constant; the fraction solid is assumed to be linear with distance within the freezing zone between the solidus and liquidus. The heat released during solidification is treated as a discontinuous heat generation. This corresponds to the nonequilibrium freezing of a eutectic system. The temperature distribution and thickness of each region are calculated as a function of time using the error function solution and the heat-balance integral; the results are given in graphical form.

scholarly journals A spatiotemporal theory for MRI T2 relaxation time and apparent diffusion coefficient in the brain during acute ischaemia: Application and validation in a rat acute stroke model

2015 ◽  
Vol 36 (7) ◽  
pp. 1232-1243 ◽  
Author(s):  
Michael J Knight ◽  
Bryony L McGarry ◽  
Harriet J Rogers ◽  
Kimmo T Jokivarsi ◽  
Olli HJ Gröhn ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Diffusion Coefficient ◽  
Relaxation Time ◽  
Apparent Diffusion Coefficient ◽  
Cerebral Ischaemia ◽  
Future Application ◽  
Acute Ischaemia ◽  
Cellular Environment ◽  
Apparent Diffusion ◽  
Cytotoxic Oedema

The objective of this study is to present a mathematical model which can describe the spatiotemporal progression of cerebral ischaemia and predict magnetic resonance observables including the apparent diffusion coefficient (ADC) of water and transverse relaxation time T2. This is motivated by the sensitivity of the ADC to the location of cerebral ischaemia and T2 to its time-course, and that it has thus far proven challenging to relate observations of changes in these MR parameters to stroke timing, which is of considerable importance in making treatment choices in clinics. Our mathematical model, called the cytotoxic oedema/dissociation (CED) model, is based on the transit of water from the extra- to the intra-cellular environment (cytotoxic oedema) and concomitant degradation of supramacromolecular and macromolecular structures (such as microtubules and the cytoskeleton). It explains experimental observations of ADC and T2, as well as identifying the rate of spread of effects of ischaemia through a tissue as a dominant system parameter. The model brings the direct extraction of the timing of ischaemic stroke from quantitative MRI closer to reality, as well as providing insight on ischaemia pathology by imaging in general. We anticipate that this may improve patient access to thrombolytic treatment as a future application.

scholarly journals An Analysis of the Solidification of a Binary Eutectic System Considering the Temperature and Solute Distribution

1978 ◽  
Vol 42 (2) ◽  
pp. 172-179 ◽  
Author(s):  
Paul Hideo Shingu ◽  
Kunimasa Takeshita ◽  
Ryohei Ozaki ◽  
Tetsuo Akiyama
Keyword(s):  
Solute Distribution ◽  
Eutectic System ◽  
Binary Eutectic

Vitrification and New Phases in the Water:Pyrimidine Binary Eutectic System

2019 ◽  
Vol 123 (33) ◽  
pp. 7190-7196
Author(s):  
Ewa Patyk-Kaźmierczak ◽  
Marcin Podsiadło ◽  
Marek Szafrański ◽  
Andrzej Katrusiak
Keyword(s):  
Eutectic System ◽  
Binary Eutectic
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