Contribution to modeling the viscosity Arrhenius-type equation for some solvents by statistical correlations analysis

Kacem, Rami Haj; Ouerfelli, N.; Herráez, J.V.; Guettari, Moez; Hamda, H.; Dallel, M.

doi:10.1016/j.fluid.2014.09.023

Cited by 92 publications

(67 citation statements)

References 46 publications

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“…Normally, viscosity decreases with the increase in the temperature. For simplicity, many empirical or semiempirical equations (correlations) are proposed to describe the temperature dependence of the fluid viscosity [31][32][33]. According to the observations on the experimental data, ln is a linear function of the reciprocal absolute temperature 1/ in the low temperature range.…”

Section: Temperature Influencesmentioning

confidence: 99%

“…According to the observations on the experimental data, ln is a linear function of the reciprocal absolute temperature 1/ in the low temperature range. For the typical fracturing fluid, the relationship between viscosity and temperature follows the Arrhenius equation [31][32][33]:…”

Section: Temperature Influencesmentioning

confidence: 99%

“…where = ln and = * = / are the Arrhenius activation temperature [33]. Taking (3), (6), (7), and (10) into (9), the spontaneous imbibition model considering the reservoir temperature and slippage effect can be derived.…”

Section: Temperature Influencesmentioning

confidence: 99%

“…The imbibition result from Figure 4 will give further explanation. Also, according to Haj-Kacem et al [33], can be closely related to the viscosity of the pure system in vapor state at the same studied pressure [34][35][36][37]. From the results of experiment, 1 and 2 can be derived, so 1 and 2 are approximately the viscosity of L1 and L2 systems at vapor state under the working pressure, if any some molecules pass in vapor state and mix with the gas fluid.…”

Section: Experiments and Validationmentioning

confidence: 99%

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Mathematical Model for the Fluid-Gas Spontaneous Displacement in Nanoscale Porous Media considering the Slippage and Temperature

Liu

Lin

Cao

et al. 2018

Mathematical Problems in Engineering

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The fracturing fluid-gas spontaneous displacement during the fracturing process is important to investigate the shale gas production and formation damage. Temperature and slippage are the major mechanisms underlying fluid transport in the micro-/nanomatrix in shale, as reported in the previous studies. We built a fracturing fluid-gas spontaneous displacement model for the porous media with micro-/nanopores, considering two major mechanisms. Then, our spontaneous displacement model was verified by the experimental result of the typical shale samples and fracturing fluids. Finally, the influences of temperature, slip length, and pore size distribution on the spontaneous imbibition process were discussed. Slippage and temperature significantly influenced the imbibition process. Lower viscosity, higher temperature, and longer slip length increased the imbibition speed. Ignoring the temperature change and slippage will lead to significant underestimation of the imbibition process.

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Section: Temperature Influencesmentioning

confidence: 99%

Section: Temperature Influencesmentioning

confidence: 99%

Section: Temperature Influencesmentioning

confidence: 99%

Section: Experiments and Validationmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical Model for the Fluid-Gas Spontaneous Displacement in Nanoscale Porous Media considering the Slippage and Temperature

Liu

Lin

Cao

et al. 2018

Mathematical Problems in Engineering

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“…There are many advantages of bio-oil over solid biomass, as bio-oil has a higher energy density and it is easier to transport and store. 2 Viscosity is an important physical property of bio-oil that should be considered because it influences bio-oil's handling, mixing operation, pipeline flow, pumping, injection, atomisation, and combustion, etc.. 2,3 Generally, high viscosity bio-oil may result in poor atomisation and incomplete combustion, coke deposition on injection nozzles and combustion chambers. 4 The definition of the viscosity of a liquid is the measure of its resistance to gradual deformation by shear stress or tensile stress, which is originated from the internal structure and molecular interactions of the fluid.…”

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confidence: 99%

Viscosity of Aged Bio-oils from Fast Pyrolysis of Beech Wood and Miscanthus: Shear Rate and Temperature Dependence

et al. 2016

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ABSTRACT:The viscosity of four aged bio-oil samples was measured experimentally at various shear rates and temperatures by using a rotational viscometer. The experimental biooils were derived from fast pyrolysis of beech wood at 450, 500 and 550 °C, andMiscanthus at 500 °C (in this work, they were named as BW1, BW2, BW3 and MXG) in a bubbling fluidised bed reactor. The viscosity of all bio-oils kept constant at various shear rates at the same temperature, which indicated that they were Newtonian fluids.The viscosity of bio-oils was strongly dependent on the temperature, and by increasing the temperature from 30 to 80 °C, the viscosity of BW1, BW2, BW3 and MXG decreased by 90.7%, 93.3%, 92.6% and 90.2%, respectively. The Arrhenius viscosity model, which have been commonly used to represent the temperature dependence of the viscosity of many fluids, did not fit the viscosity-temperature experimental data of all bio-oils very well, especially in the low and high temperature regions. For comparison, the Williams-Landel-Ferry (WLF) model was also used. The results showed that the WLF model gave a very good description of the viscosity-temperature relationship of each bio-oil with very small residuals and the BW3 bio-oil had the strongest viscosity-temperature dependence.

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Densities and Viscosities of Oleic Acid at Atmospheric Pressure

Sagdeev

Gabitov

Isyanov

et al. 2019

J Americ Oil Chem Soc

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The densities of oleic acid were measured over the temperature range from (293 to 459) K at atmospheric pressure using a densimeter based on the modified hydrostatic weighing method. The dynamic viscosities of the same oleic acid sample were measured using a capillary viscometer (VPZ-2 m) in the range from (293 to 363) K at atmospheric pressure. The combined expanded uncertainty of the density, atmospheric pressure, viscosity, and temperature measurements at the 95% confidence level with a coverage factor of k = 2 is estimated to be 0.15%, 1.0%, 3.5%, and 15 mK, respectively. The values of uncertainty for density and viscosity include the effects of purity and calibration (total expanded uncertainty). These experimental data were used to develop wide-range correlations for the density and viscosity based on theoretically confirmed Arrhenius-Andrade and Vogel-Tamman-Fulcher (VTF) models. The value of the glass temperature (T g =179.78 K.) for the oleic acid was estimated using the VTF parameters derived from the present viscosity measurements. To additionally validate the reliability of the measured density data, the same oleic acid samples were measured using the pycnometric method. The present study showed that the densities measured using the modified hydrostatic weighing densimeter (HWD) agree with the values obtained using the pycnometric method within 0.09% for Sample 1 and 0.25% for Sample 2.

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Contribution to modeling the viscosity Arrhenius-type equation for some solvents by statistical correlations analysis

Cited by 92 publications

References 46 publications

Mathematical Model for the Fluid-Gas Spontaneous Displacement in Nanoscale Porous Media considering the Slippage and Temperature

Mathematical Model for the Fluid-Gas Spontaneous Displacement in Nanoscale Porous Media considering the Slippage and Temperature

Viscosity of Aged Bio-oils from Fast Pyrolysis of Beech Wood and Miscanthus: Shear Rate and Temperature Dependence

Densities and Viscosities of Oleic Acid at Atmospheric Pressure

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