On the rheology of linear wormlike micellar solutions
Year: 2025
Type: article
Abstract: HypothesisThe shear rheology of linear wormlike micellar solutions (WMS) is described by both Poisson renewal (PRM) and shuffling (SFM) models with different values of the model parameters. For low shear rates, the micellar solutions behave as a Maxwellian body with constant elasticity and viscosity. The excellent description of experimental data suggests that both PRM and SFM predict identical dependencies of the dynamic storage and loss moduli on the frequency. We hypothesize that there are universal relationships between PRM- and SFM-sets of the rheological parameters.ExperimentsThree independent rheological regimes (apparent viscosity vs shear rate, stress vs strain at constant shear rates, strain oscillations at low amplitudes and different frequencies) are applied to low, medium, and high zero-shear viscosity WMS to obtain the PRM and SFM model parameters (elasticity, viscosity, relaxation, breaking, and reptation times).FindingsThe PRM becomes equivalent to the SFM, when the breaking time is constant, τbr, and the reptation time, τrep, is equal to π2τd0, where τd0 is the reptation time of the chain with an average length. The closed-form exact analytical expression for the complex modulus gives possibility to calculate the storage and elastic moduli, crossover frequency, and the elasticity with high precision for all values of ζbr = τbr/τrep. The predictions of the PRM length-dependent breaking-time versions are indistinguishable from those of the SFM for the obtained universal dependencies of the characteristic time, τB0, on ζbr. The theoretical findings and conclusions are confirmed experimentally and illustrate the self-consistency of the used rheological regimes.
Source: JCIS Open
Language: English
Subfield: Fluid Flow and Transfer Processes
Field: Chemical Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,590
OpenAlex ID: W4416509023