Estimation of the viscosities of binary metallic melts using Gibbs energies of mixing

Seetharaman, S.; Sichen, Du

doi:10.1007/bf02650079

Cited by 134 publications

(23 citation statements)

References 8 publications

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“…The same applies for the model of Hirai [22], which correlates the viscosity to the liquidus temperature of the alloy in dependence of composition (liquidus line in the phase diagram). The curve calculated from the model of Seetharaman and Sichen [20] shows a minimum in viscosity instead of the expected maximum.…”

Section: Resultsmentioning

confidence: 96%

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Viscosity of Al–Cu liquid alloys: measurement and thermodynamic description

et al. 2012

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In the present work a high temperature oscillating cup viscometer has been used to measure the viscosities of liquid binary Al-Cu alloys. The dependence of viscosity on temperature is well described by the Arrhenius law. For constant temperature, the viscosity as a function of copper concentration exhibits a maximum at a mole fraction x Cu = 0.7. This might be due to a pronounced chemical short range order in the liquid phase at this composition. As the comparison of existing phenomenological models describing viscosity as a function of composition to the experimental data is unsatisfactory, a new model for the viscosity has been developed within this work based only on a few assumptions and using the enthalpy of mixing as input parameter which is easily accessible. The agreement between model calculation and experimental data is excellent.

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Section: Resultsmentioning

confidence: 96%

“…DG Ã can be expressed by the Gibbs activation energies of the pure components DG Ã i and the Gibbs energy of mixing DG mix . The model of Seetharaman and Sichen [20] yields the following equation for a binary alloy consisting of the components A and B:…”

Section: Introductionmentioning

confidence: 99%

Viscosity of Al–Cu liquid alloys: measurement and thermodynamic description

et al. 2012

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“…The surface tension and viscosity of the liquid phase are very relevant to the soldering process, and can be predicted from the Gibbs energy of liquid by combining the appropriate models [20][21][22][23][24]. Figure 4 shows the calculated surface tension and viscosity of the Sn-Ag-Cu alloys at 800°C.…”

Section: Design Of Micro-soldering Materialsmentioning

confidence: 99%

Development of materials design tool and its application in Pb-free micro-solders in electronic package

Liu

Wang

Ohnuma

et al. 2010

Sci. China Technol. Sci.

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A materials design tool for developing Pb-free soldering alloys in electronic package was developed based on comprehensive experimental data of phase equilibria and thermodynamic properties data accumulated with the CALPHAD (calculation of phase diagrams) method and contains 10 elements, namely, Ag, Au, Bi, Cu, In, Ni, Sb, Sn, Zn and Pb. It can handle the calculation of phase diagrams in all combinations of these elements and all composition ranges. In addition, based on this tool, the liquidus, solidus, phase fractions and constitutions, equilibrium and non-equilibrium solidification behavior, surface tension and viscosity of liquid, diffusion reactions and microstructural evolution, etc. can be predicted. Typical examples of the calculation and application of this tool are presented. The design tool is expected to be a powerful tool for the development of Pb-free solders, as well as for promoting the understanding of the interfacial phenomena between Cu substrate and Pb-free solders in electronic packaging technology.Pb-free solders, thermodynamic database, calculation of phase diagram, phase field method, interfacial reaction Citation:Liu X J, Wang C P, Ohnuma I, et al. Development of materials design tool and its application in Pb-free micro-solders in electronic package. Sci

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“…The Kaptay's equation 19 is a modi¯cation of Seetharaman-Sichen equation, 17 taking into account the theoretical relationship between the cohesion energy of the alloy and the activation energy of viscous°ow, leading to the following value of parameter (0:155 AE 0:015Þ:…”

Section: Kaptay's Equationmentioning

confidence: 99%

Theoretical investigation of some physicochemical properties in the liquid Sn–Ag–Cu alloys

M’chaar

Sabbar

Moudane

et al. 2017

J. Theor. Comput. Chem.

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Some physicochemical properties such as surface tension, molar volume, density and viscosity of liquid Sn-Ag-Cu alloys have been calculated using Kohler, Muggianu, Toop and Hillert geometrical models along three cross-sections namely x Ag /x Cu ¼ 1=2, 1/1 and 2/1. Indeed, Guggenheim, Kozlov-Romanov-Petrov and Kaptay equations have also been extended to estimate the surface tension and viscosity based on the thermodynamic data of the investigated system over wide temperature ranges of 823-1123 K and 773-1173 K, respectively. The results show that the three investigated properties, surface tension, density and viscosity, decrease with increasing tin for all studied models. On the other hand, a di®erent behavior of these properties as a function of the temperature was noted. This evolution depends on the composition of the studied alloys.On the contrary, the molar volume increases with increase of temperature and tin compositions. It should be noted that the surface tension, density and molar volume show a linear dependence on temperature for all the investigated compositions. For viscosity, a curvilinear dependence has been observed. The calculated surface tensions and densities were compared with those reported experimentally for Sn-Ag-Cu alloys along the cross-section x Ag /x Cu ¼ 1/1.

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Estimation of the viscosities of binary metallic melts using Gibbs energies of mixing

Cited by 134 publications

References 8 publications

Viscosity of Al–Cu liquid alloys: measurement and thermodynamic description

Viscosity of Al–Cu liquid alloys: measurement and thermodynamic description

Development of materials design tool and its application in Pb-free micro-solders in electronic package

Theoretical investigation of some physicochemical properties in the liquid Sn–Ag–Cu alloys

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