Characterization of particle aggregation in a colloidal suspension of magnetite particles

A modified aggregation based model for the accurate prediction of particle distribution and viscosity in magnetic nanofluids

“…11. It can be seen that the viscosity predicted by our model is in well agreement with the experimental data [33]. Relative viscosity of nanofluids at ϕ = 0 is very close to that Fig.…”

“…First, this model reflects the effect of aggregation size on viscosity of nanofluid which many other models fail to consider. Second, Cho et al [33] investigated the relationship between viscosity and aggregations of magnetic nanofluids by this model and they found the results of this model are quite consistent with experimental results. The semi-empirical relationship can be expressed as:…”

“…11 shows viscosity against G at different ϕ (ϕ = 0 → 0.04). Experiment data reported by Cho et al [33] under same experimental conditions is quoted as inset of Fig. 11.…”

“…Cho et al [33] experimentally obtained the value of D f as 1.9. As previously mentioned, similar to the effect of isothermal compression of an ideal gas, magnetic field makes the aggregations more compact.…”

“…In order to compare our theoretical predictions with experimental result, the values of the parameters input were based on experiment in the literature [33]. Fourth-order Runge-Kutta method has been applied as model solver.…”