The rheological kolmogorov scales of viscoelastic Oldroyd-B fluids

Abstract

This article introduces a method to determine the Kolmogorov rheological scales for turbulent flow in Viscoelastic Oldroyd-B fluids. The findings reveal a noteworthy characteristic wherein the Kolmogorov rheological length is consistently smaller than that observed in Newtonian cases. Moreover, this length diminishes with an increase in the prominence of elastic effects. Leveraging these rheological scales, a detailed friction equation for turbulent flow in Oldroyd-B fluids is derived. The resultant friction relationship exhibits a high degree of agreement with existing theories. Notably, it delineates the Maximum Drag Reduction (MDR) scenario for the studied case (β=0.9). Additionally, the investigation delves into the onset of drag reduction effects, shedding light on the transitional phases in viscoelastic fluid flows.