scholarly journals Thermodynamic calculations in ternary titanium-aluminium-manganese system

2008 ◽  
Vol 73 (4) ◽  
pp. 499-506 ◽  
Author(s):  
Ana Kostov ◽  
Dragana Zivkovic

Thermodynamic calculations in the ternary Ti-Al-Mn system are shown in this paper. The thermodynamic calculations were performed using the FactSage thermochemical software and database, with the aim of determining thermodynamic properties, such as activities, coefficient of activities, partial and integral values of the enthalpies and Gibbs energies of mixing and excess energies at two different temperatures: 2000 and 2100 K. Bearing in mind that no experimental data for the Ti-Al-Mn ternary system have been obtained or reported. The obtained results represent a good base for further thermodynamic analysis and may be useful as a comparison with some future critical experimental results and thermodynamic optimization of this system.

2007 ◽  
Vol 43 (1) ◽  
pp. 29-38 ◽  
Author(s):  
A. Kostov ◽  
D. Zivkovic ◽  
B. Friedrich

Thermodynamic predicting analysis of Si-based binary systems - Ti-Si, and Al-Si, are shown in this paper. Thermodynamic analysis involved thermodynamic determination of activities, coefficient of activities, partial and integral values for enthalpies and Gibbs energies of mixing and excess energies at different temperatures: 2000K, 2400K and 2473K, as well as calculation of phase diagrams for the investigated binaries. The FactSage was used for all thermodynamic calculations. .


Author(s):  
Hellismar W. da Silva ◽  
Renato S. Rodovalho ◽  
Marya F. Velasco ◽  
Camila F. Silva ◽  
Luís S. R. Vale

ABSTRACT The objective of this study was to determine and model the drying kinetics of 'Cabacinha' pepper fruits at different temperatures of the drying air, as well as obtain the thermodynamic properties involved in the drying process of the product. Drying was carried out under controlled conductions of temperature (60, 70, 80, 90 and 100 °C) using three samples of 130 g of fruit, which were weighed periodically until constant mass. The experimental data were adjusted to different mathematical models often used in the representation of fruit drying. Effective diffusion coefficients, calculated from the mathematical model of liquid diffusion, were used to obtain activation energy, enthalpy, entropy and Gibbs free energy. The Midilli model showed the best fit to the experimental data of drying of 'Cabacinha' pepper fruits. The increase in drying temperature promoted an increase in water removal rate, effective diffusion coefficient and Gibbs free energy, besides a reduction in fruit drying time and in the values of entropy and enthalpy. The activation energy for the drying of pepper fruits was 36.09 kJ mol-1.


2008 ◽  
Vol 62 (3) ◽  
pp. 153-159 ◽  
Author(s):  
Lidija Gomidzelovic ◽  
Dragana Zivkovic ◽  
Ivan Mihajlovic

The results of thermodynamic analysis of ternary system Ga-In-Sb are presented in these work. Thermodynamic analysis was carried out by applying general solution predicting method in sections from Ga, In and Sb corner, respectively, with following ratios 1:3, 1:1, 3:1 in the temperature interval 873 to 1673 K. Based on this, excess molar Gibbs energies and activity of all components in specified temperature interval were calculated. Also, using the obtained data and MLAB software, ternary interaction parameters for Ga-In-Sb system were determined.


2017 ◽  
Vol 17 (3) ◽  
pp. 500 ◽  
Author(s):  
Rendra Panca Anugraha ◽  
Zul Akbar Andi Picunang ◽  
Annas Wiguno ◽  
Rizky Tetrisyanda ◽  
Kuswandi Kuswandi ◽  
...  

In this work, vapor pressure of binary systems for isooctane + ethanol, isooctane + n-butanol and ethanol + n-butanol and ternary system for isooctane + ethanol + n-butanol were measured in the temperature range from 313.15 to 318.15 K using the inclined ebulliometer. The experimental results showed that the existence of n-butanol in isooctane decreases the vapor pressure of mixture, while increasing n-butanol fraction in ternary isooctane-ethanol-n-butanol mixture decreased vapor pressure of mixture. Experimental data for binary systems studied were correlated with Wilson, NRTL and UNIQUAC models with average relative deviation (ARD) of 3.5%. The optimized binary parameter pairs obtained in this work were used to estimate the ternary system. The Wilson model gave the best performance for estimation of ternary system with ARD of 5.4%. All systems studied showed non-ideal solution with positive deviation from Raoult’s law.


2006 ◽  
Vol 508 ◽  
pp. 591-596 ◽  
Author(s):  
Mauro Palumbo ◽  
Daniele Baldissin ◽  
Livio Battezzati ◽  
O. Tassa ◽  
Rainer Wunderlich ◽  
...  

This contribution reports the results of calorimetric measurements of the enthalpy of fusion and liquid specific heat carried out in different laboratories as part of the ground campaign of the Thermolab project. Different equipments and calibration methods have been used and critically evaluated. Thermodynamic calculations using the Thermocalc software have been performed and a comparison has been carried out with the experimental results.


2005 ◽  
Vol 70 (1) ◽  
pp. 9-20 ◽  
Author(s):  
Dragan Manasijevic ◽  
Dragana Zivkovic ◽  
Katayama Iwao ◽  
Zivan Zivkovic

The results of the calculation of the thermodynamic properties for liquid Ga-Sb-Tl alloys at the temperature 1073 K are presented in this paper. Initially, the most appropriate thermodynamic model for the investigated system was selected. Based on a comparison of the values calculated by different geometric models (Kohler, Muggianu, Toop, Hillert, Chou) with the existing experimental based data, asymmetric models of calculation were determined to give the best results. The asymmetric nature of the investigated ternary system was additionally confirmed by the Chou similarity coefficient concept. For these reasons, further complete thermodynamic calculations were performed according to the Hillert model in five sections of the ternary Ga-Sb-Tl system from each corner with the mole ratio of other two components being 9:1; 7:3; 5:5; 3:7 and 1:9. The obtained results include integral excess Gibbs energy dependences on composition for all the investigated sections. The calculated activity values at 1073 K for all components are given in the form of isoactivity diagrams. Comparison between the calculated and experimentally obtained gallium activities shows good agreement.


2007 ◽  
Vol 561-565 ◽  
pp. 1899-1902 ◽  
Author(s):  
T. Tokunaga ◽  
N. Hanaya ◽  
Hiroshi Ohtani ◽  
Mitsuhiro Hasebe

A thermodynamic analysis of the Fe-Mn-P ternary system has been carried out using the CALPHAD method. Among the three binary systems relevant to this ternary phase diagram, the thermodynamic parameters of the Mn-P binary system were evaluated in this study. The enthalpy of formation of the binary phosphides obtained from our first-principles calculations was utilized in the present analysis to compensate for the lack of available experimental data. The thermodynamic descriptions of the Fe-Mn and Fe-P binary systems were taken from previous studies. The phase equilibria in the Fe-Mn-P ternary system were analysed based on the experimental data on the phase boundaries. The calculated phase diagrams are in agreement with the experimental results.


2012 ◽  
Vol 455-456 ◽  
pp. 867-871
Author(s):  
Xing Yue Yan ◽  
Yong Chun Cheng ◽  
Xiao Ping Hu

The liquid-liquid equilibrium (LLE) of ternary mixtures (water + palm oil biodiesel + methanol) was measured under atmospheric pressure and temperatures of 303.15K, 313.15K and 323.15K. The mutual solubility of biodiesel and water increased as the increasing of ratio of methanol. Also, the mutual dissolution of the mixture was slightly promoted by increasing temperature. The phase diagrams and tie lines for the ternary system were determined by high-temperature gas chromatography (HTGC). NRTL and UINQUAC models were applied to fit the experimental data for the ternary system, and the binary interaction parameters were obtained by regression on the experimental data. Both models could describe the LLE behavior of the systems fairly well.


Author(s):  
N. Golovata ◽  
N. Kotova ◽  
N. Usenko

In the present work, the Gibbs energies of mixing of liquid alloys of the Ge-Mn-Gd ternary system were determined, which was made on the basis of an analysis of published data on the thermodynamic properties of liquid alloys of boundary binary systems that form the ternary Ge-Mn-Gd, as well as on the basis of the model calculations in these binary systems. To determine the activities of the components, the Gibbs energies of mixing, and the enthalpies of mixing of liquid alloys of the Ge-Mn(Gd) systems, for which alloying process is accompanied by significant heat release, an ideal associated solution model was applied. For the melts of the Mn-Gd system, which are characterized by rather insignificant exothermic effects, a model of regular solutions was used. The surface of the Gibbs energy of mixing for the alloys of the Ge-Mn-Gd ternary system has been determined on the basis of the concentration dependences of the Gibbs energies of mixing obtained for constituent binary systems under the assumption of additivity of pair interactions using the Redlich-Kister-Muggianu method. The obtained topology of the Gibbs energy isolines projections is compared with the thermochemical properties of liquid alloys of this system that we have determined earlier. A comparative analysis of the topology of these surfaces in the Ge-Mn-Gd system led to the conclusion that the surfaces of ΔG and ΔmH monotonically decrease from the manganese-rich angle of the diagram towards the Ge-Gd side of the concentration triangle. The minimum value of the thermodynamic characteristics of mixing of the ternary liquid alloys corresponds to the composition, which coincides with the composition of the most stable intermetallic compound in the Ge-Gd system. From the course of isolines of free energies and integral enthalpies of mixing, one can also conclude about the influence of a short-range order, existed in the Ge-Mn system near the composition with a mole fraction of mangan greater than 0.7, on the properties of ternary alloys in the vicinity of this composition. Thus, the topology of isolines and the large exothermic values of the obtained thermodynamic properties allow us to make a reasonable conclusion that the strong interaction between unlike components inherent in the Ge-Gd system in the solid state is also maintained for liquid alloys of the Ge-Mn-Gd system.


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