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sci.power-law-viscosity Calculator
Calculates power-law fluid viscosity: τ = K × γ̇ⁿ, where n < 1 is shear-thinning and n > 1 is shear-thickening. Ketchup is shear-thinning (n ≈ 0.4) — it flows easily when shaken (high shear rate) but sits still on the plate (low shear rate).
Inputs
Consistency Index K
Reference formula or conversion factor shown for context.
Power Law Index N
Rate of energy transfer (W). P = V×I (electrical). P = F×v (mechanical). 1 horsepower ≈ 746 W.
Shear Rate 1 S
Amount per unit of time or per unit quantity. Check the denominator before interpreting.
Results
apparent viscosity (Pa·s)
Sample size or count used in the calculation.
shear stress (Pa)
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
flow type
The classification or type assigned based on the inputs.
τ = K × γ^n
Sample size or count used in the calculation.
n typical range
The difference between the maximum and minimum values.