An Equation for the Correlation of Viscosities of Binary Mixtures

Herráez, J.V.; Belda, Raquel; Dı́ez-Sales, Octavio; Herráez, M.

doi:10.1007/s10953-007-9226-2

Cited by 59 publications

(35 citation statements)

References 21 publications

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“…In the present study the excess molar properties and viscosity deviations [1][2][3][4][5][6][7][8] are fitted to the reduced Redlich-Kister (R-K) equation along with its corresponding relative properties and the Herráez 17,18 and Belda correlative equations [19][20][21] . In addition, the reduced R-K function relative to the viscosity Arrhenius activation energy which is equivalent to the apparent molar property gives more information because it is more sensitive than the excess property to interaction 22,23 .…”

Section: Introductionmentioning

confidence: 99%

On the reduced Redlich-Kister excess properties for 1,2-dimethoxyethane with propylene carbonate binary mixtures at temperatures (from 298.15 to 318.15) K.

Salhi

Babu²,

Al-Eidan³

et al. 2017

Mediterr.J.Chem.,

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Values of excess properties in 1,2-dimethoxyethane + propylene carbonate binary liquid mixtures at different temperatures from experimental density and viscosity values presented in earlier work, were used to test the applicability of the correlative reduced Redlich-Kister functions and the Belda equation, and to reveal eventual specific interaction hidden by the classical treatment of direct excess Redlich-Kister functions. Their correlation ability at different temperatures, and the use of different numbers of parameters, is discussed for the case of limited experimental data. The relative Redlich-Kister functions are important to reduce the effect of temperature and, consequently, to reveal the effects of different types of interactions. Values of limiting excess partial molar volume at infinite dilution deduced from different methods were discussed. Also, the activation parameters and partial molar Gibbs free energy of activation of viscous flow against compositions were investigated. Correlation between the two Arrhenius parameters of viscosity shows the existence of main different behaviors separated by a stabilized structure in a short range of mole fraction in 1,2-dimethoxyethane (0.45 to 0.83). In this context, the correlation Belda equation has also been applied to the present system for thermodynamic properties in order to reveal eventual solute-solvent interaction at high dilution.

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Section: Introductionmentioning

confidence: 99%

On the reduced Redlich-Kister excess properties for 1,2-dimethoxyethane with propylene carbonate binary mixtures at temperatures (from 298.15 to 318.15) K.

Salhi

Babu²,

Al-Eidan³

et al. 2017

Mediterr.J.Chem.,

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“…Herráez et al [37,38] suggested correlation empirical equation (eqns. 4 or 7) which introduces a correcting polynomial (eqns.…”

Section: Temperature-dependence Of Liquid Shear Viscositymentioning

confidence: 99%

“…It revealed that the deviations of absolute viscosity determined with the Herráez equation generally lead to reliable results for several studied fluid mixtures showing strictly monotonous variation in dynamic viscosity values with molar fraction, but the model records inferior performance when distribution exhibits an extremum [37,38]. Then, the following expression was proposed:…”

Section: Temperature-dependence Of Liquid Shear Viscositymentioning

confidence: 99%

“…In our case, we observe a quasi-linear behaviour limited by a very feeble curvature at very diluted region of DMF in EtOH which is characterized by the molar fraction (x1 = 0.059 ≈ 1/17) where there is a change of structure and brings to light more distinct structures [3,43]. We add that for the precedent particular molar fraction the interpretation of the molecular liquid structure can be based on "Neighborhood Model Approach" [6,[28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]60] whereas the beginning introduction of DMF molecules into pure EtOH liquid, preferentially creates the stable cluster (1DMF:16EtOH) where one DMF molecule is surrounded by 16EtOH molecules roughly without notably modification the structure of pure EtOH [49].…”

Section: Temperature-dependence Of Liquid Shear Viscositymentioning

confidence: 99%

“…By means of the novel concepts of the universal exponent of Herráez, reduced Redlich-Kister (RK) properties and Belda coefficients [35][36][37][38][39][40][41][42][43], we have launched a perceivable research program to obtain more information about the internal structure of the mixtures of most of the organic solvents that have a high importance in biology as cited in the literature . In view of the data given from the literature and augmented by some interpolation operations for derivations needed, it is extended to examine the viscosity Arrhenius-type behaviour along with a new coefficients nominated as Arrhenius temperature (TA), in ethanol + N,N-dimethylformamide binary fluid mixtures from 303.1 to 323.15 K [28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Novel Approach of Partial Derivatives to Estimate the Normal Boiling Temperature via Viscosity Arrhenius Behaviour in N,N-Dimethylformamide + Ethanol Fluid Systems

Dallel¹,

Al-Arfaj²,

Alomair³

et al. 2017

Asian J. Chem.

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The experimental values of absolute viscosity in N,N-dimethylformamide + ethanol binary fluid mixtures (from 303.15 to 323.15 K) can induce us to investigate different correlation expressions as well as their derivative quantities. Investigation of the molar enthalpy of viscous flow (∆H*) and the viscosity activation energy (Ea) reveals close values and similar variation against composition, here we can justify the notion of partial activation energies Ea1 and Ea2 for pure components along with their separately individual contributions. Correlation between the two Arrhenius parameters in the whole range of compositions shows the existence of different interaction behaviours, delimited by peculiar compositions. It is also noticed that the ratio between the two parameters leads to the Arrhenius temperature which is in causal correlation with the temperature of vapourization in the liquid-vapour isobaric diagram and the limiting partial properties can permit us to predict values of the boiling temperatures of the pure fluid components.

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On the Discrimination of Models for the Viscometric Properties of Myristic, Palmitic and Stearic Acids and Their Binary Mixtures

Esteban

Bakalis

Duckitt

et al. 2018

Euro J Lipid Sci & Tech

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Fatty acids have a great importance in several industrial activities like the manufacture of ingredients for foods, paints, soap, detergents and a wide array of other products in the fast moving consumer goods industry. Processing of fatty acids requires a good knowledge of transport properties, such as viscosity. This work presents a compilation of experimental values of the viscosity of three long‐chain saturated fatty acids, namely: myristic, palmitic and stearic acid. First, a study of the dependence of the viscosity of these fatty acids with temperature is presented comparing results with previously existing data in literature and validating data and models statistically. Then, a thorough analysis of the viscosity of binary mixtures of the aforementioned fatty acids was conducted. To do so, such property was measured over the entire range of compositions in increments of the molar fraction of the components of 0.1 at temperatures ranging from above the melting points of the fatty acids to 373.15 K and correlation with respect to composition and temperature with the Jouyban–Acree model. Last, the so‐called viscosity deviations were computed and correlated with Redlich–Kister equations to explain the variation as a function of the molar composition of the corresponding mixture. Discrimination of different models to correlate the experimental data was made on the basis of different statistical criteria. Practical Application: Good knowledge of transport properties such as viscosity is important to understand the physics and processing of materials. Contrary to simply using a viscometer, here cone and plate rheometry is used to accurately determine the viscosity of myristic, palmitic and stearic acids and their binary mixtures, which have high melting points compared to other liquids. In addition, the presentation of statistical discrimination tools like information criteria is highly relevant to understand the goodness of fit of models and the selection of the most statistically relevant equations without using more parameters than strictly necessary. The viscosities of pure myristic, palmitic and stearic acids as well as their binary mixtures are determined and a discrimination of models is performed to understand the most appropriate number of parameters to describe the behaviour.

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An Equation for the Correlation of Viscosities of Binary Mixtures

Cited by 59 publications

References 21 publications

On the reduced Redlich-Kister excess properties for 1,2-dimethoxyethane with propylene carbonate binary mixtures at temperatures (from 298.15 to 318.15) K.

On the reduced Redlich-Kister excess properties for 1,2-dimethoxyethane with propylene carbonate binary mixtures at temperatures (from 298.15 to 318.15) K.

A Novel Approach of Partial Derivatives to Estimate the Normal Boiling Temperature via Viscosity Arrhenius Behaviour in N,N-Dimethylformamide + Ethanol Fluid Systems

On the Discrimination of Models for the Viscometric Properties of Myristic, Palmitic and Stearic Acids and Their Binary Mixtures

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