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. 2018 Mar 27;8:5282. doi: 10.1038/s41598-018-23174-z

Table 1.

Typical nanofluid viscosity prediction models.

Researcher Year Model R2 Remarks
Einstein63 1906 μs = μbf(1 + 2.5φ) 0.501 For rigid solid spheres, the volume fraction <2%
Batchelor64 1977 μs = μbf(1 + 2.5φ + 6.2φ2) 0.5312 Interactions between particles was considered, a very low concentration
Wang et al.65 1999 μs = μbf(1 + 7.3φ + 123φ2) 0.8351 Empirical generic model
This study 2017 μs = μbf(1 + 117φ− 269.2 + 229.3) 0.9972 Empirical model