Tangent simple systems method applied to a precise study of viscoelastic behaviour of human blood

Abstract

The tangent simple systems (TSS) method, proposed in (1), is applied in order to study the viscoelastic behaviour of human blood in transient flow for a rectangular low shear rate step. The tangent simple systems which were used are Maxwell liquids. These systems allow one to obtain plots of variations of instantaneous values of viscosity coefficient μ, elasticity modulus G and retardation time τ=μ/G of the studied blood samples, as a function of flow duration. Variations of both parameters μ and G versus time are represented by two exponential functions which involve three couples of parameters (μ ₀, ${\mathit{\mu }}_{\infty }$ ), (G₀,G _∞ ) and (τ _μ ,τ _G). These parameters can be considered as the characteristics of each blood sample. Another representation of the results, called the dual rheogram, is also indicated. The dual rheogram enables one to follow the evolution of the blood structure. Several examples of application of the TSS method to normal blood sample and to suspensions of artificially modified red blood cells (RBC) are given.