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A mathematical model of a blood flow in a microcirculatory cell of an arbitrary morphological structure is suggested. To serve calculation of a particular case of the cell, a mathematical model of blood suspension seeping through a hemofilter is also presented on whose basis averaged elastic characteristics of erythrocyte membranes are calculated using the data of the available experiments. This is employed for diagnostics and control of the efficiency of the used methods of medical treatment.

The influence of the internal properties of deformable suspended particles on the flow of suspensions in plane channels is investigated.

Rheological equations of state are obtained for weak solutions of polymers as rigid ellipsoidal macromolecules, taking into account the rotational Brownian motion of the macromolecules, their energy, and the external force fields (electric and magnetic). As an example the effect of the inertia of the macromolecules on the rheological behavior of the solutions is examined.

Rheological equations of state of dilute suspensions of rigid ellipsoidal particles (ellipsoids of revolution) are derived [1–4] from the vantage point of the structural-continuum approach, with attention given both to rotational Brownian motion of particles and to their inertia and the outer force fields. Interaction between particles is ignored in those treatments given the low concentration of the suspended particles. In this paper, the earlier findings [1–4] are generalized to higher concentrations. The effect of hydrodynamical interaction between particles on the rheological behavior of the suspension is treated in the light of the Simha approach [5].

The structural-continuum approach is used to obtain the Theological equations of state for dilute polymer solutions whose macromolecules can be modeled by an ellipsoid of rotation with internal viscosity and elasticity.

A numerical solution is obtained for the self-similar problem of a plane nonisothermal boundary layer of dilute suspensions of rigid ellipsoidal particles.

Based on the structural-continuum model, the rheological equations of state are derived for weak solutions of polymers with rigid macromolecules in the shape of triaxial ellipsoids.

The effect of an electric field on the rheological behavior of dilute suspensions with rigid ellipsoidal dielectric particles is analyzed.

On the basis of the structural-continuum concept, rheological equations of state have been derived for weak polymer solutions with rigid ellipsoidal macromolecules in an electric field.

Rheological equations of state are postulated for weak suspensions of rigid ellipsoidal particles on the basis of the structure-continuous concept.

Integral relations are derived for a plane laminar boundary layer of weak polymer solutions with rigid ellipsoidal macromolecules. The universal equation is written out for generalizably-similar solutions to the problem.