Mixing of non-Newtonian inelastic fluid in a turbulent patch of T-junction
Mélange de fuide inélastique non-Newtonien dans une zone de turbulence pour une jonction en T
Résumé
In this paper, we present result from a direct numerical simulation (DNS) of turbulent ow in a converging T-junction for both Newtonian (water) and non-Newtonian inelastic uid (dilute Xanthan Gum solution). Based on experimental data, the Bird-Carreau law is used to capture the inelastic shear thinning property of the solution. For the Xanthan solution, the viscosity at rest is about 100 times greater than the viscosity at high shear-rate. A passive scalar is introduced in the transverse branch to investigate the mixing in such conguration. The nominal Reynolds number at the exit varies from 4800 to 8000 for the Newtonian cases and for the same inow rates, the non-Newtonian ow will be necessarily at lower nominal Reynolds number. Two regimes are explored as a function of the inlet velocity ratio r = U b /U m : the "deecting" regime noted DR (r = 1) and the "impinging" regime noted IR (r = 4). For the non-Newtonian cases, two viscous cores are observed before the junction. After the junction a laminar state is obtained for the lower ow rate conditions. Surprisingly, in spite of a large viscosity at rest, a self-sustained non-Newtonian turbulence is achieved except for one case. We describe existing vortex mechanisms which pilot the scalar mixing. In addition, we show that in the non-Newtonian cases, the existing peak of turbulence is only shifted in the DR case. The shift is probably due to the nature of the uid and not to the dynamical regime. After an intense turbulent zone, we show that a re-laminarization zone appears in the non-Newtonian case which reduces the uctuation as well as mixing. As a result, IR has a better mixing quality than DR.
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