On the Consistency of the Darken Method with the Onsager Representation for Diffusion in Multicomponent Systems

2016 ◽  
Vol 369 ◽  
pp. 53-58 ◽  
Author(s):  
Marek Danielewski ◽  
Marek Zajusz ◽  
Bogusław Bożek ◽  
Katarzyna Tkacz-Śmiech
Keyword(s):  
Diffusion Couple ◽  
Entropy Production ◽  
Symmetric Matrix ◽  
Multicomponent System ◽  
Multicomponent Systems ◽  
Molar Volumes ◽  
Mixing Entropy ◽  
Cross Diffusion ◽  
Phenomenological Coefficients ◽  
First Time

A consistency between the Darken method and the Onsager representation for cross diffusion in multicomponent system is shown. The justification is made by defining new sets of forces and fluxes linearly interrelated by a symmetric matrix of phenomenological coefficients. For the first time, the system of the components having various molar volumes is treated in this way. It is shown that the transformation leaves the entropy production unchanged. As an example, the entropy production for interdiffusion in the ternary Co-Fe-Ni diffusion couple is calculated and compared with mixing entropy.

Multicomponent lifetime distributions in the presence of ageing

2000 ◽  
Vol 37 (02) ◽  
pp. 521-533 ◽  
Author(s):  
Juanjuan Fan ◽  
S. G. Ghurye ◽  
Richard A. Levine
Keyword(s):  
Poisson Process ◽  
Parameter Space ◽  
Exponential Function ◽  
Multicomponent System ◽  
Compound Poisson Process ◽  
Shock Model ◽  
Multicomponent Systems ◽  
Survival Functions ◽  
Lifetime Distributions ◽  
Life Distributions

Lifetime distributions for multicomponent systems are developed through the interplay of ageing and stress shocks to the system. The ageing process is explicitly modeled by an exponential function with rate affected by the magnitude of stresses from a compound Poisson process shock model. Applications of these life distributions and associated failure rates towards the study of multicomponent system survival are discussed. In particular, we illustrate the behavior of these survival functions in relevant subsets of the parameter space.

Investigation into Electrical Conductivity of the Multicomponent System of Trackbed

2016 ◽  
Vol 25 ◽  
pp. 52-57 ◽  
Author(s):  
L.V. Trykoz ◽  
I.V. Bagiyanc ◽  
V.Yu. Savchuk ◽  
O.M. Pustovoitova ◽  
S.M. Kamchatnaya ◽  
...  
Keyword(s):  
Electrical Conductivity ◽  
Chemical Composition ◽  
Chemical Structure ◽  
Multicomponent System ◽  
Specific Conductance ◽  
Electric Properties ◽  
Multicomponent Systems ◽  
Organic Substances ◽  
Basic Slag ◽  
Materials Used

The article deals with the measuring results of the specific conductance of multicomponent systems which consist of more than three materials of various characteristics. As it was shown the electrical conductivity of systems composed of soil, slag and water depends in a lesser degree on the amount of slag and in a greater degree on slag’s chemical composition. The value of specific conductance decreases when the amount of slag increases for basic slag, and increases for acid slag. For a system, which includes gravel particles coated with organic substances, the value of specific conductance correlates with the electric properties of the materials used, namely the function of chemical composition of the musticomponent system. Thus, there is a possibility to design a mathematical model for forecasting electric properties of multicomponent systems, which is based on an objective characteristic, namely, chemical structure of the materials used.

Interdiffusion: Consistency of Darken's and Onsager's Methods

2015 ◽  
Vol 363 ◽  
pp. 29-34 ◽  
Author(s):  
J. Dąbrowa ◽  
Witold Kucza ◽  
Katarzyna Tkacz-Śmiech ◽  
Bogusław Bożek ◽  
Marek Danielewski
Keyword(s):  
Entropy Production ◽  
Explicit Form ◽  
Transport Coefficients ◽  
Irreversible Thermodynamics ◽  
Component System ◽  
Independent Components ◽  
Interdiffusion Process ◽  
Flux Formula ◽  
Phenomenological Coefficients ◽  
Interdiffusion Coefficients

The Nernst-Planck flux formula is used in Darken's method to obtain the interdiffusion fluxes. The effective interdiffusion potentials, derived for the independent components in the system, allow obtaining the symmetrical matrix of the interdiffusion coefficients. The transport coefficients for 2, 3 andr-component system are presented. Interpretation of obtained matrixes in the light of Onsager's theory of irreversible thermodynamics is shown. Equation for the entropy production in the interdiffusion process is displayed. The presented approach allows calculation of entropy production during interdiffusion, as well as formulating Onsager's phenomenological coefficients for the interdiffusion in an explicit form, a form which is directly correlated with the mobilities of the atoms present in the system.

Estimation of the vapour-liquid equilibrium data of N-component system by a modified method of binary contributions

1982 ◽  
Vol 47 (4) ◽  
pp. 1029-1044 ◽  
Author(s):  
Vladimír Medlík ◽  
Petr Voňka ◽  
Josef P. Novák
Keyword(s):  
Binary Systems ◽  
Multicomponent System ◽  
Multicomponent Systems ◽  
Liquid Equilibrium ◽  
Component System ◽  
Modified Method ◽  
Equilibrium Data ◽  
Excess Quantity ◽  
Excess Quantities ◽  
Constituent Binary

A method is proposed making it possible to calculate excess quantities of a multicomponent system on the basis of knowledge of this excess quantity for the constituent binary systems. The method is applied to the calculation of vapour-liquid equilibrium data of multicomponent systems.

scholarly journals THEORETICAL BASIS OF COMPATIBILITY OF COMPLETELY-FILLED MULTICOMPONENT BINDING SYSTEMS

2020 ◽  
Vol 47 (1) ◽  
pp. 165-173
Author(s):  
M. Sh. Salamanova ◽  
S. A.Yu. Murtazaev ◽  
D. K.-S. Bataev ◽  
A. Kh. Alaskhanov
Keyword(s):  
Portland Cement ◽  
Raw Materials ◽  
Multicomponent System ◽  
Potassium Feldspar ◽  
Cement Stone ◽  
Multicomponent Systems ◽  
Russian Science ◽  
Unique Identifier ◽  
Factors Affecting ◽  
Mineral Powder

Abstract. Aim. An important direction in contemporary concrete science is aimed at the development of multicomponent systems using mineral powder fillers in a finely dispersed state to create strong and durable building composites. One of the most significant factors affecting the properties of multicomponent systems is the compatibility of its components. Efforts on the part of leading scientific institutes are aimed at replacing expensive and energy-intensive Portland cement with composite concrete products produced using mixed binders. In this context, the development of modern effective composites based on clinkerless alkaline binders becomes an urgent problem. Methods. Studies into the compatibility of multicomponent cementing systems are based on a contemporary technological approach that contributes to the production of strong and durable cement stone, without the use of traditional Portland cement. Results. Electron probe studies and X-ray phase analysis of concrete produced using a clinker-free alkaline activation binder showed that the studied multicomponent system contains a hydro-aluminosilicate zeolite phase of variable composition, as well as indicating the presence of calcite, quartz, albite feldspar, mica, zeolites and potassium feldspar. Conclusion. The results of the studies confirm the compatibility of all components of the multicomponent system comprised of mineral powder, alkaline coater and surfactant. The proposed technological method can be used to produce strong and durable building composites with clinker-free technology avoiding the use of expensive and energy-intensive Portland cement. Acknowledgments. The work was performed as part of research on the implementation of scientific project No. 05.607.21.0320. “Development of technology for new building composites on clinker-free alkaline binders using substandard natural and secondary raw materials” which received support from the federal target program “Research and Development in Priority Directions for the Development of the Russian Science and Technology Complex for 2014-2020.” Unique identifier for the agreement RFMTFI60719X0320.

Multicomponent lifetime distributions in the presence of ageing

2000 ◽  
Vol 37 (2) ◽  
pp. 521-533 ◽  
Author(s):  
Juanjuan Fan ◽  
S. G. Ghurye ◽  
Richard A. Levine
Keyword(s):  
Poisson Process ◽  
Parameter Space ◽  
Exponential Function ◽  
Multicomponent System ◽  
Compound Poisson Process ◽  
Shock Model ◽  
Multicomponent Systems ◽  
Survival Functions ◽  
Lifetime Distributions ◽  
Life Distributions

Lifetime distributions for multicomponent systems are developed through the interplay of ageing and stress shocks to the system. The ageing process is explicitly modeled by an exponential function with rate affected by the magnitude of stresses from a compound Poisson process shock model. Applications of these life distributions and associated failure rates towards the study of multicomponent system survival are discussed. In particular, we illustrate the behavior of these survival functions in relevant subsets of the parameter space.

Multicomponent Energy Conserving Dissipative Particle Dynamics: A General Framework for Mesoscopic Heat Transfer Applications

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Anuj Chaudhri ◽  
Jennifer R. Lukes
Keyword(s):  
Heat Transfer ◽  
Dissipative Particle Dynamics ◽  
Multicomponent System ◽  
Computer Code ◽  
Particle Dynamics ◽  
Two Dimensions ◽  
Scaling Factors ◽  
Energy Conserving ◽  
Steady State Heat ◽  
First Time

A multicomponent framework for energy conserving dissipative particle dynamics (DPD) is presented for the first time in both dimensional and dimensionless forms. Explicit definitions for unknown scaling factors that are consistent with DPD convention are found by comparing the present, general dimensionless governing equations to the standard DPD expressions in the literature. When the scaling factors are chosen based on the solvent in a multicomponent system, the system of equations reduces to a set that is easy to handle computationally. A computer code based on this multicomponent framework was validated, under the special case of identical components, for one-dimensional transient and one- and two-dimensional steady-state heat conduction in a random DPD solid. The results, which compare well with existing DPD works and with analytical solutions in one and two dimensions, show the promise of energy conserving DPD for modeling heat transfer at mesoscopic length scales.

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