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. 2023 Jun 12;109(2):301–314. doi: 10.4269/ajtmh.23-0116

Table 3.

Mathematical flow models evaluated in viscosity studies

Flow model name Flow model equation R 2 Calculated equation
Bingham τ = τ + ηγ 0.7985 τ = 386.95 + 1.29γ
Casson τ = τ00.5 + η0.5 γ0.5 0.9527 τ = 21.36 + 0.95 γ0.5
Ostwald–De Waele τ = k γn 0.9938 τ = 149 γ0.3165
Herschel–Bulkley τ = τ0 + ηγn 0.9681 τ = 5.69 + 178.49 γ0.3547

Where τ is the shear stress, τ0 is the yield stress, η is the viscosity, k is the index of consistency, n is the flow index, and γ is the shear rate.