Drag reduction in numerical twophase TaylorCouette turbulence using an EulerLagrange approach
Abstract
Twophase turbulent TaylorCouette (TC) flow is simulated using an EulerLagrange approach to study the effects of a secondary phase dispersed into a turbulent carrier phase (here bubbles dispersed into water). The dynamics of the carrier phase is computed using Direct Numerical Simulations (DNS) in an Eulerian framework, while the bubbles are tracked in a Lagrangian manner by modelling the effective drag, lift, added mass and buoyancy force acting on them. Twoway coupling is implemented between the dispersed phase and the carrier phase which allows for momentum exchange among both phases and to study the effect of the dispersed phase on the carrier phase dynamics. The radius ratio of the TC setup is fixed to $\eta=0.833$, and a maximum inner cylinder Reynolds number of $Re_i=8000$ is reached. We vary the Froude number ($Fr$), which is the ratio of the centripetal to the gravitational acceleration of the dispersed phase and study its effect on the net torque required to drive the TC system. For the twophase TC system, we observe drag reduction, i.e., the torque required to drive the inner cylinder is less compared to that of the single phase system. The net drag reduction decreases with increasing Reynolds number $Re_i$, which is consistent with previous experimental findings (Murai et al. 2005, 2008). The drag reduction is strongly related to the Froude number: for fixed Reynolds number we observe higher drag reduction when $Fr < 1$ than for with$ Fr > 1$. This buoyancy effect is more prominent in low $Re_i$ systems and decreases with increasing Reynolds number $Re_i$. We trace the drag reduction back to the weakening of the angular momentum carrying Taylor rolls by the rising bubbles.
 Publication:

Journal of Fluid Mechanics
 Pub Date:
 July 2016
 DOI:
 10.1017/jfm.2016.316
 arXiv:
 arXiv:1510.01107
 Bibcode:
 2016JFM...798..411S
 Keywords:

 Physics  Fluid Dynamics
 EPrint:
 Journal of Fluid Mechanics / Volume 798 / July 2016, pp 411 435