An extension of the McAllister model to correlate kinematic viscosity of electrolyte solutions

Abstract

This paper presents a new model for correlating kinematic viscosity of binary strong electrolyte solutions. The new model, based upon Eyring theory, considers that molecular interactions among anion, cation, and molecule occur in a certain way. The new equation correlates the viscosity of different aqueous electrolyte solutions within an absolute percentage error of 0.49% with a standard deviation of 0.4%. Comparison to existing correlations also appears in this work.List of symbolsG*Gibbs energy of activation [J/mol]hPlanck constant [6.624×10−27ergs/molecule, 6.624×10−25gmm2/(smolecule)]aiConstant of Eq. (23)biConstants of Eq. (24)MMolecular weight, g/molnNumber of molesNAvogadro's number [6.023×1023] molecules/mol or number of data points in Eqs. (4)NPNumber of experimental data pointsRUniversal gas constanttTemperature, [°C]TTemperature [K]VMolar volumen [cm3/mol]xMole fractionGreek lettersδGij*Temperature dependent parameter of the new viscosity equationδGji*Temperature dependent parameter of the new viscosity equationδGijk*Temperature dependent parameter of the new viscosity equationμDynamic viscosity, mPasνKinematic viscosity, mm2/sSubscriptsi, j, kSpecies i, j, and kmMixturemixMixture