Nesrine Dhouibi - Academia.edu (original) (raw)
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University of the Basque Country, Euskal Herriko Unibertsitatea
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In transport phenomena, precise knowledge or estimation of fluids properties are necessary, for m... more In transport phenomena, precise knowledge or estimation of fluids properties are necessary, for mass flow and heat transfer computations. Viscosity is one of the important properties which are affected by pressure and temperature. In the present work, based on statistical techniques for non linear regression analysis, we propose a novel equation modeling the relationship between the two parameters of viscosity Arrhenius-type equation, such as the energy (Ea) and the preexponential factor (As). Empirical validations, using about 90 data set of viscosity of pure solvents studied at different temperature ranges are provided from literature, give excellent statistical correlations, thus allowing us to rewrite the Arrhenius equation using a single parameter instead of two. Then, taking some mathematical considerations, we try in the present work to suggest an empirical exponential law-type equation valid even for the very viscous fluids (Ea < 40 kJ· mol-1) and (-20 < ln(As /Pa·s)). In addition, we have tried to give some physical meaning of the proposed equation parameters. Also, the suggested model is very beneficial for engineering data since it would permit to estimate the missing parameter value, if a well established estimate of the other is readily available.
Paper project # 3 from Calculations 1, 3, 6, 7, 10 and 11
Among the physicochemical properties of binary liquid mixtures, viscosity is valuable tool for de... more Among the physicochemical properties of binary liquid mixtures, viscosity is valuable tool for developing theoretical models to understand the liquid state and structure. On the other hand, excess thermodynamic properties and deviations of analogous non-thermodynamic functions of liquid mixtures are fundamental for investigating different types of intermolecular interactions in these mixtures. Hence, the knowledge and prediction of physicochemical and thermophysical properties of binary liquid mixtures is of great importance for understanding and characterization of intermolecular interactions. In the same context, some models attempt to correlate shear viscosity in liquid mixtures to release information on eventual interactions, structure and peculiar behaviors.
The precedent ratios represent the experimental reduced Redlich-Kister excess properties and deno... more The precedent ratios represent the experimental reduced Redlich-Kister excess properties and denoted Q Y,exp,T (x 1 ) which are expressed by Eq. 3, Q Y,exp,T (x 1 ) = Y E / ) (3) where Y E denotes V E , and G* E .
Where Y is the property value at molar fraction x1, Y1 and Y2 are the property value of the pure ... more Where Y is the property value at molar fraction x1, Y1 and Y2 are the property value of the pure component 1 and 2 respectively, i.e. at x 1 =1 and x1 = 0 respectively. Here Y is the viscosity (), the molar volume (V) or the molar Gibbs free energy of activation of viscous flow (G*)
We calculate the logarithm of viscosity: Be careful, viscosity in mPa.s -0.825 31 -0.887 70 -0.... more We calculate the logarithm of viscosity: Be careful, viscosity in mPa.s -0.825 31 -0.887 70 -0.955 29 318. 15 0.0031 432 0.544 30 0.445 58 0.348 26 0.248 40 0.184 40 0.107 51 0.020 978 -0.037 951 -0.1360 4 -0.189 71 -0.295 34 -0.372 77 -0.450 06 -0.550 56 -0.607 15 -0.723 45 -0.795 24 -0.840 54 -0.923 82 -0.982 94 -1.051 0
Journal of Chemistry, 2015
In transport phenomena, precise knowledge or estimation of fluids properties are necessary, for m... more In transport phenomena, precise knowledge or estimation of fluids properties are necessary, for mass flow and heat transfer computations. Viscosity is one of the important properties which are affected by pressure and temperature. In the present work, based on statistical techniques for non linear regression analysis, we propose a novel equation modeling the relationship between the two parameters of viscosity Arrhenius-type equation, such as the energy (Ea) and the preexponential factor (As). Empirical validations, using about 90 data set of viscosity of pure solvents studied at different temperature ranges are provided from literature, give excellent statistical correlations, thus allowing us to rewrite the Arrhenius equation using a single parameter instead of two. Then, taking some mathematical considerations, we try in the present work to suggest an empirical exponential law-type equation valid even for the very viscous fluids (Ea < 40 kJ· mol-1) and (-20 < ln(As /Pa·s)). In addition, we have tried to give some physical meaning of the proposed equation parameters. Also, the suggested model is very beneficial for engineering data since it would permit to estimate the missing parameter value, if a well established estimate of the other is readily available.
Paper project # 3 from Calculations 1, 3, 6, 7, 10 and 11
Among the physicochemical properties of binary liquid mixtures, viscosity is valuable tool for de... more Among the physicochemical properties of binary liquid mixtures, viscosity is valuable tool for developing theoretical models to understand the liquid state and structure. On the other hand, excess thermodynamic properties and deviations of analogous non-thermodynamic functions of liquid mixtures are fundamental for investigating different types of intermolecular interactions in these mixtures. Hence, the knowledge and prediction of physicochemical and thermophysical properties of binary liquid mixtures is of great importance for understanding and characterization of intermolecular interactions. In the same context, some models attempt to correlate shear viscosity in liquid mixtures to release information on eventual interactions, structure and peculiar behaviors.
The precedent ratios represent the experimental reduced Redlich-Kister excess properties and deno... more The precedent ratios represent the experimental reduced Redlich-Kister excess properties and denoted Q Y,exp,T (x 1 ) which are expressed by Eq. 3, Q Y,exp,T (x 1 ) = Y E / ) (3) where Y E denotes V E , and G* E .
Where Y is the property value at molar fraction x1, Y1 and Y2 are the property value of the pure ... more Where Y is the property value at molar fraction x1, Y1 and Y2 are the property value of the pure component 1 and 2 respectively, i.e. at x 1 =1 and x1 = 0 respectively. Here Y is the viscosity (), the molar volume (V) or the molar Gibbs free energy of activation of viscous flow (G*)
We calculate the logarithm of viscosity: Be careful, viscosity in mPa.s -0.825 31 -0.887 70 -0.... more We calculate the logarithm of viscosity: Be careful, viscosity in mPa.s -0.825 31 -0.887 70 -0.955 29 318. 15 0.0031 432 0.544 30 0.445 58 0.348 26 0.248 40 0.184 40 0.107 51 0.020 978 -0.037 951 -0.1360 4 -0.189 71 -0.295 34 -0.372 77 -0.450 06 -0.550 56 -0.607 15 -0.723 45 -0.795 24 -0.840 54 -0.923 82 -0.982 94 -1.051 0
Journal of Chemistry, 2015