Boundary layer of elastic turbulence
Abstract
We investigate theoretically the nearwall region in elastic turbulence of a dilute polymer solution in the limit of large Weissenberg number. As it was established experimentally, elastic turbulence possesses a boundary layer where the fluid velocity field can be approximated by a steady shear flow with relatively small fluctuations on the top of it. Assuming that at the bottom of the boundary layer the dissolved polymers can be considered as passive objects, we examine analytically and numerically statistics of the polymer conformation, which is highly nonuniform in the wallnormal direction. Next, imposing the condition that the passive regime terminates at the border of the boundary layer, we obtain an estimate for the ratio of the mean flow to the magnitude of flow fluctuations. This ratio is determined by the polymer concentration, the radius of gyration of polymers and their length in the fully extended state. The results of our asymptotic analysis reproduce the qualitative features of elastic turbulence at finite Weissenberg numbers.
 Publication:

Journal of Fluid Mechanics
 Pub Date:
 November 2018
 DOI:
 10.1017/jfm.2018.662
 arXiv:
 arXiv:1708.05312
 Bibcode:
 2018JFM...855..910B
 Keywords:

 Physics  Fluid Dynamics
 EPrint:
 11 pages, 2 figures