The article describes a new method of rheological stationary fluids flow calculation in pipes and channels. By means of a complex variable method the universal formulae for velocities and flow rates distribution have been received. A technique called “linearization of single-bonded area” has been used in this research. The quasi Newtonian approach method has been suggested for the first time. To study of rheological stationary fluids flow in porous medium the model of “hypothetical canal” is assumed. This model allows predicting the rheological behavior of anomalous fluids flow through porous medium based on the results obtained on the capillary flowmeter. The “real” rheological equation of condition construction has been pointed out. The resistance laws generalized for the rheological stationary fluid have been received.

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