Theoretical foundation and experimental confirmation for "fractal" formula of non-Newtonian fluid viscosity dependence on shear rate

Authors: V.I. Lesin (Oil and Gas Research Institute of RAS, RF, Moscow), S.V. Lesin (Gubkin Russian State University of Oil and Gas, RF, Moscow)

The new physical model of non Newtonian liquid colloidal solutions is proposed. The “fractal” formula that describes viscosity dependence shear rate was obtained in analytical form on the basis of approach that the mechanical energy of moving liquid is spending on fragments detaching and deforming of colloidal particles aggregates of fractal type. The validity of formula is confirmed by experimental data for petroleum and drilling solution.

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References

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