Dynamic viscosity and thermal conductivity modeling of nanofluids based on Eyring’s absolute rate theory and modified Flory-Huggins equation

Fazlali, Alireza; Mahdavi Nik, Mohammad

doi:10.61882/CNJ.3.3.652

Dynamic viscosity and thermal conductivity modeling of nanofluids based on Eyring’s absolute rate theory and modified Flory-Huggins equation

Document Type : Original Article

Authors

Alireza Fazlali

Mohammad Mahdavi Nik

Department of Chemical Engineering, Faculty of Engineering, Arak University, Arak, Iran

10.61882/CNJ.3.3.652

Abstract

Using the concept of dimensionality, a new model based on the presented relationship for dynamic viscosity is presented to calculate the thermal conductivity of nanofluids based on the thermal conductivity of the base fluid and nanoparticles, molar volume of the base fluid and nanoparticles, temperature volume fraction, and interaction parameter. The presented model is developed to calculate the thermal conductivity of water-based nanofluids with Al2O3, CuO, Fe3O4, TiO2, and Ag nanoparticles, and also for ethylene glycol-based nanofluids with Al2O3, CuO, and ZnO nanoparticles. To develop the Eyring-mFH (Eyring-modified Flory-Huggins) model, experimental dynamic viscosity data of nanofluids with Newtonian behavior from different references in the temperature range of 10-90 oC and the volume fraction range of 0.2-9.4% were used to calculate the interaction parameters between the base fluid and nanoparticles in the viscosity model and experimental thermal conductivity data of different nanofluids in the temperature range of 10-90 oC and the volume fraction range of 0.3-8.6% were used to calculate the interaction parameter in the thermal conductivity model. The maximum and minimum errors of the model optimization on tentative data based on AARD% are 5.94% and 0.04% for the viscosity model, and 0.7% and 0.16% for the thermal conductivity model, respectively. The presented models are compared with various models of other researchers, and results show that the Eyring-mFH model is very accurate compared to them in calculating the thermophysical properties of viscosity and thermal conductivity of nanofluids.

Graphical Abstract

Keywords

Nanofluids

Viscosity

Thermal conductivity

Modeling

Eyring&rsquo

s absolute rate theory

modified Flory-Huggins

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