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This work provides a review of the development of concepts and approaches used in the analytical modeling of particle motion in non Newtonian liquids, copvering the period between the late 1950s and the present time. The logical interpretation of the results obtained with respect to whether they correspond to the physical essence of the phenomenon or process under consideration is given. Special attention is paid to ana lyzing the rheological models of non Newtonian media and their effect on the calculation results.

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