Rheological constitutive relation obtained using microstructural approach when considering the dynamics of non-interacting dumbbell moving in an anisotropic medium. Proposed dependence of the effective friction coefficient of the dumbbell beads of the first invariant of the anisotropy tensor. It is possible to calculate the viscometric functions in simple shear and uniaxial tension. Marked qualitative correspondence of calculated flow of real functions of polymer fluids and concluded that the need to address the multiplicity of relaxation processes in the study approach.