Application of Optical Basicity for Estimation of Viscosity of SiO2-CaO-MgO-Al2O3 System

2014 ◽  
Vol 1033-1034 ◽  
pp. 811-817
Author(s):  
Chuan Hong ◽  
Yun Ming Gao ◽  
Shao Bo Wang
Keyword(s):  
Temperature Dependence ◽  
Composition Dependence ◽  
Present Model ◽  
Slag System ◽  
Optical Basicity ◽  
Slag Viscosity ◽  
Mean Deviation ◽  
Model Parameters ◽  
The Relationship ◽  
Good Agreement

A viscosity model based on NPL model with the corrected optical basicity is proposed for quaternary SiO2-CaO-MgO-Al2O3 slag system in the present work. The modified Arrhenius type of equation for temperature dependence of slag viscosity is employed. By means of fitting measured viscosity values for slags with basicity from 0.4 to 1.0 and temperature from 1593 to 1803 K, model parameters are optimized against values of optical basicity, which represents both the structure of molten slags and cationic effects. The relationship between model parameters and optical basicity, which is different from NPL model, is obtained. The present model is applied to estimate viscosity values of slag in SiO2-CaO-MgO-Al2O3 system. The comparison between estimated and measured values shows good agreement with a mean deviation of 12%. It proves fully that the present model can express the temperature dependence and composition dependence of viscosity.

The Relationship between Viscosity and Electrical Conductivity of CaF2-SiO2-Al2O3-CaO-MgO Slag System

2012 ◽  
Vol 724 ◽  
pp. 460-463 ◽  
Author(s):  
Jian Tao Ju ◽  
Zhen Lin Lu ◽  
Zhi Yuan Jiao ◽  
Jun Yang ◽  
Zhao Hui Zhang
Keyword(s):  
Electrical Conductivity ◽  
Slag System ◽  
Regression Method ◽  
Slag Viscosity ◽  
Refining Slag ◽  
The Stability ◽  
Experimental Values ◽  
The Relationship ◽  
Good Agreement ◽  
Calculating Model

The relationship between the viscosity and the electrical conductivity of CaF2-SiO2- Al2O3-CaO-MgO slag system was deduced through theoretical calculation and experiment. The experiment was designed by quadratic orthogonal rotary regression method. The slag viscosity and conductivity were measured at 1600, and the constant (C) was calculated. The calculating model between each component mass fraction and constant C was performed, and the stability of calculating model was also verified by representative slag. The results showed that the calculating constant (C) of regression model is in good agreement with experimental values. Thus, the relationship between refining slag viscosity and conductivity using the formula at certain temperature is feasible.

Mathematical modeling of cement paste microstructure by mosaic pattern: Part I. Formulation

1996 ◽  
Vol 11 (8) ◽  
pp. 1943-1952 ◽  
Author(s):  
Yunping Xi ◽  
Paul D. Tennis ◽  
Hamlin M. Jennings
Keyword(s):  
Cement Paste ◽  
Present Model ◽  
Spatial Arrangement ◽  
Structural Features ◽  
Evaluation Procedure ◽  
Model Parameters ◽  
Multiphase Microstructure ◽  
Water To Cement Ratio ◽  
The Relationship ◽  
Independent Parameters

This paper develops a mathematical model using mosaic patterns to characterize structural features of complex, multiphase, and multidimensional microstructures, such as those for cement paste. A multiphase microstructure can be characterized by m independent parameters; the first m– 1 parameters are equivalent to the volume fractions of the phases, while the final parameter describes the grain size, and thus, the spatial arrangement of the microstructure. An evaluation procedure for the parameters is given; they can be evaluated based on a 2D image, and then the 3D microstructure can be simulated by the present model. The relationship among the model parameters and material parameters, such as water-to-cement ratio and particle size distribution, are also established.

Lattice dynamics of ZnTe, CdTe, GaP, and InP

1980 ◽  
Vol 58 (3) ◽  
pp. 351-358 ◽  
Author(s):  
M. S. Kushwaha ◽  
S. S. Kushwaha
Keyword(s):  
Lattice Dynamics ◽  
Present Model ◽  
Phonon Dispersion ◽  
Model Parameters ◽  
Force Model ◽  
Phonon Dispersion Curves ◽  
Bending Force ◽  
Zinc Blende ◽  
Bond Bending ◽  
Good Agreement

An eight-parameter bond-bending force model (BBFM), recently developed by us for zinc-blende (ZB) structure, has been used to study the lattice dynamics of other compounds of the II–VI and III–V groups. The model parameters were calculated using six critical point phonon frequencies, two elastic constants, and the lattice equilibrium condition. Phonon dispersion curves, phonon density of states, and Debye-characteristic temperatures have been calculated. The comparison of theoretical and the available experimental results reveals a fairly good agreement. The merits and demerits of the present model have been discussed in full.

scholarly journals The Menzerath–Altmann Law: Experimenting with Tatar Texts

2021 ◽  
Vol 163 (1) ◽  
pp. 180-189
Author(s):  
A.M. Galieva ◽  
Keyword(s):  
Word Length ◽  
Coefficient Of Determination ◽  
Model Parameters ◽  
Modern Theory ◽  
Word Forms ◽  
Theory Of Language ◽  
Linguistic Units ◽  
The Relationship ◽  
Linguistic Structures ◽  
Good Agreement

The Menzerath–Altmann law on the relationship between the length of linguistic units and the length of their components is one of the important laws of quantitative linguistics. This law is a result of an advanced linguistic structures organization and is of great importance for the modern theory of language aimed at revealing the relations between qualitative features and quantitative parameters of the language. The validity of the Menzerath–Altmann law has been confirmed in a number of works on languages with different morphological structures. The main purpose of this paper is empirical testing of the Menzerath–Altmann law on the Tatar language with the help of various fiction texts (both poetry and prose). The distribution of word forms in the Tatar language by length, observed values of the average syllable length depending on the word length, average values of the syllable length predicted by the model, as well as the model parameters were investigated for the analyzed texts. To assess the goodness of fitting of the model, the coefficient of determination R2, which for different texts ranged from 0.676 to 0.999, was used. It was concluded that G. Altman’s formula is in good agreement with the data of the Tatar language. The model predicts not only the decreasing average syllable length with the increasing word length (function monotonicity), but also its subsequent increasing (change in the function monotonicity) for a number of texts.

Estimating Electrical Conductivities of CaO-MgO-Al2O3-SiO2 Using Ion-Oxygen Parameter

2016 ◽  
Vol 35 (3) ◽  
pp. 253-259 ◽  
Author(s):  
Yaxian Wang ◽  
Lijun Wang ◽  
Kuo-chih Chou
Keyword(s):  
Electrical Conductivity ◽  
Slag System ◽  
Mean Deviation ◽  
Final Model ◽  
Electrical Conductivities ◽  
Close Relationship ◽  
Higher Temperature ◽  
Reasonable Prediction ◽  
The Relationship ◽  
Oxygen Parameter

AbstractElectrical conductivity of molten slags is one of the most important physicochemical properties and it also has a close relationship to the structure of slag. This article focused on the basic slag system CaO-MgO-Al2O3-SiO2 and made estimations for electrical conductivity. Ion-oxygen parameter was selected to describe the relationship between electrical conductivity with compositions. Moreover, the interaction between composition and temperature was embodied in the final model formula. It was shown that increasing CaO and MgO contents enhanced the ability for electric conduction. Moreover, with a higher temperature, the change of electrical conductivity with ion-oxygen parameter was more remarkable. This model gives reasonable prediction of the electrical conductivity for the slags studied with the mean deviation of 14.3%. Thus, this model would provide a feasible tool for industry to predict and optimize the electrical conductivity of slag system.

scholarly journals Estimation of viscosity for some silicate ternary slags

2014 ◽  
Vol 50 (2) ◽  
pp. 139-144 ◽  
Author(s):  
Q. Shu ◽  
L. Wang ◽  
K.C. Chou
Keyword(s):  
Experimental Data ◽  
General Solution ◽  
Gibbs Energy ◽  
Binary Systems ◽  
Geometrical Model ◽  
Solution Model ◽  
Mean Deviation ◽  
Model Parameters ◽  
General Solution Model ◽  
Good Agreement

A new method, combining KTH model with geometrical model (General solution model by Chou) to estimate viscosity of some ternary silicate slags, was proposed in this work. According to modified KTH model, viscous Gibbs free energy for mixing of ternary slags was estimated by employing general solution model. It was found that viscous Gibbs energy for mixing of ternary system could be calculated using solely viscous Gibbs energy for mixing of sub-binary systems. The viscosities of five ternary slags CaO-MnO-SiO2, CaO-FeO-SiO2, FeO-MnO-SiO2, CaO-MgO-SiO2 and FeO-MgO-SiO2 were estimated in the present work. A good agreement with available experimental data, with mean deviation less than 20%, was achieved. The modified KTH model has advantages with less model parameters and improved estimation ability by comparison to original KTH model.

scholarly journals Experimental studies on the transformation from firn to ice in the wet-snow zone of temperate glaciers

1997 ◽  
Vol 24 ◽  
pp. 181-185 ◽  
Author(s):  
Katsuhisa Kawashima ◽  
Tomomi Yamada
Keyword(s):  
Experimental Studies ◽  
Ice Formation ◽  
Compression Tests ◽  
Densification Rate ◽  
Overburden Pressure ◽  
Proportionality Constant ◽  
Wet Snow ◽  
Water Saturated ◽  
The Relationship ◽  
Good Agreement

The densification of water-saturated firn, which had formed just above the firn-ice transition in the wet-snow zone of temperate glaciers, was investigated by compression tests under pressures ranging from 0.036 to 0.173 MPa, with special reference to the relationship between densification rate, time and pressure. At each test, the logarithm of the densification rate was proportional to the logarithm of the time, and its proportionality constant increased exponentially with increasing pressure. The time necessary for ice formation in the firn aquifer was calculated using the empirical formula obtained from the tests. Consequently, the necessary time decreased exponentially as the pressure increased, which shows that the transformation from firn in ice can be completed within the period when the firn aquifer exists, if the overburden pressure acting on the water-saturated firn is above 0.12–0.14 MPa. This critical value of pressure was in good agreement with the overburden pressure obtained from depth–density curves of temperate glaciers. It was concluded that the depth of firn–ice transition was self-balanced by the overburden pressure to result in the concentration between 20 and 30 m.

scholarly journals Correlation between fundus autofluorescence and visual function in patients with cone-rod dystrophy

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Satoru Kanda ◽  
Takumi Hara ◽  
Ryosuke Fujino ◽  
Keiko Azuma ◽  
Hirotsugu Soga ◽  
...  
Keyword(s):  
Visual Field ◽  
Significant Relationship ◽  
Fundus Autofluorescence ◽  
Univariate Analysis ◽  
Retrospective Chart Review ◽  
Mean Deviation ◽  
Wide Field ◽  
The Mean ◽  
The Relationship ◽  
Field Imaging

AbstractThis study aimed to investigate the relationship between autofluorescence (AF) signal measured with ultra-wide field imaging and visual functions in patients with cone-rod dystrophy (CORD). A retrospective chart review was performed for CORD patients. We performed the visual field test and fundus autofluorescence (FAF) measurement and visualized retinal structures with optical coherence tomography (OCT) on the same day. Using binarised FAF images, we identified a low FAF area ratio (LFAR: low FAF/30°). Relationships between age and logMAR visual acuity (VA), central retinal thickness (CRT), central choroidal thickness (CCT), mean deviation (MD) value, and LFAR were investigated. Thirty-seven eyes of 21 CORD patients (8 men and 13 women) were enrolled. The mean patient age was 49.8 years. LogMAR VA and MD were 0.52 ± 0.47 and − 17.91 ± 10.59 dB, respectively. There was a significant relationship between logMAR VA and MD (p = 0.001). LogMAR VA significantly correlated with CRT (p = 0.006) but not with other parameters. Conversely, univariate analysis suggested a significant relationship between MD and LFAR (p = 0.001). In the multivariate analysis, LFAR was significantly associated with MD (p = 0.002). In conclusion, it is useful to measure the low FAF area in patients with CORD. The AF measurement reflects the visual field deterioration but not VA in CORD.

A realistic model for transverse shear stiffness prediction of composite corrugated-core sandwich structure with bonding effect

2021 ◽  
pp. 109963622199386
Author(s):  
Tianshu Wang ◽  
Licheng Guo
Keyword(s):  
Present Model ◽  
Shear Stiffness ◽  
Realistic Model ◽  
Torsional Stiffness ◽  
Fem Model ◽  
The Core ◽  
Bonding Effect ◽  
Stiffness Model ◽  
Bonding Area ◽  
The Relationship

In this paper, a shear stiffness model for corrugated-core sandwich structures is proposed. The bonding area is discussed independently. The core is thought to be hinged on the skins with torsional stiffness. The analytical model was verified by FEM solution. Compared with the previous studies, the new model can predict the valley point of the shear stiffness at which the relationship between the shear stiffness and the angle of the core changes from negative correlation to positive correlation. The valley point increases when the core becomes stronger. For the structure with a angle of the core smaller than counterpart for the valley point, the existing analytical formulations may significantly underestimate the shear stiffness of the structure with strong skins. The results obtained by some previous models may be only 10 persent of that of the present model, which is supported by the FEM model.

scholarly journals Neural network-based modeling of the number of microbubbles generated with four circulation factors in cardiopulmonary bypass

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Satoshi Miyamoto ◽  
Zu Soh ◽  
Shigeyuki Okahara ◽  
Akira Furui ◽  
Taiichi Takasaki ◽  
...  
Keyword(s):  
Cardiopulmonary Bypass ◽  
Flow Rate ◽  
Neurological Complications ◽  
Estimation Accuracy ◽  
Model Parameters ◽  
Perfusion Flow ◽  
Postsurgical Complication ◽  
Tenfold Cross Validation ◽  
Suction Flow ◽  
The Relationship

AbstractThe need for the estimation of the number of microbubbles (MBs) in cardiopulmonary bypass surgery has been recognized among surgeons to avoid postoperative neurological complications. MBs that exceed the diameter of human capillaries may cause endothelial disruption as well as microvascular obstructions that block posterior capillary blood flow. In this paper, we analyzed the relationship between the number of microbubbles generated and four circulation factors, i.e., intraoperative suction flow rate, venous reservoir level, continuous blood viscosity and perfusion flow rate in cardiopulmonary bypass, and proposed a neural-networked model to estimate the number of microbubbles with the factors. Model parameters were determined in a machine-learning manner using experimental data with bovine blood as the perfusate. The estimation accuracy of the model, assessed by tenfold cross-validation, demonstrated that the number of MBs can be estimated with a determinant coefficient R2 = 0.9328 (p < 0.001). A significant increase in the residual error was found when each of four factors was excluded from the contributory variables. The study demonstrated the importance of four circulation factors in the prediction of the number of MBs and its capacity to eliminate potential postsurgical complication risks.

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