Table 1 Numerical values of parameters and fluid properties adopted in the simulations

From: Anomalous dynamics of a passive droplet in active turbulence

Non-dimensional parameter/property

  

\({{{{{\rm{Re}}}}}}\)

0.1

\({{{{{{\rm{Re}}}}}}}_{{{{{{\rm{a}}}}}}}\)

0.5

\({{{{{{\rm{Re}}}}}}}_{{{{{{\rm{f}}}}}}}\)

0.00075

\({{{{{{\rm{Re}}}}}}}_{{{{{{\rm{I}}}}}}}\equiv {{{{{{\rm{Ca}}}}}}}^{-1}\)

1, 3, 7, 11, 15, 19

System size Lx × Ly

200 × 200, 400 × 400, 450 × 450

Grid size M × N

256 × 256, 512 × 512, 576 × 576

Droplet radius R

8, 15, 16, 30, 32, 45, 48, 64

Time step Δt

1.0 × 10−3

 

Phase 1: active nematic fluid

Phase 2: passive nematic droplet

Density \({\rho }^{{\prime} }\)

\({\rho }_{1}^{{\prime} }=1.0\)

\({\rho }_{2}^{{\prime} }=2.0\)

Viscosity \({\eta }^{{\prime} }\)

\({\eta }_{1}^{{\prime} }=1.0\)

\({\eta }_{2}^{{\prime} }=2.0\)

Activity \({\zeta }^{{\prime} }\)

\({\zeta }_{1}^{{\prime} }=1.0\)

\({\zeta }_{2}^{{\prime} }=0.0\)

Friction \({\mu }^{{\prime} }\)

\({\mu }_{1}^{{\prime} }=1.0\)

\({\mu }_{2}^{{\prime} }=1.0\)

Alignment λ

λ1 = 0.8

λ2 = 0.8

Elastic constant \({K}^{{\prime} }\)

\({K}_{1}^{{\prime} }=0.25\)

\({K}_{2}^{{\prime} }=0.25\)

Material constant \({C}^{{\prime} }\)

\({C}_{1}^{{\prime} }=0.4\)

\({C}_{2}^{{\prime} }=0.4\)

Relaxation \({\Gamma }^{{\prime} }\)

\({\Gamma }_{1}^{{\prime} }=1.0\)

\({\Gamma }_{2}^{{\prime} }=1.0\)

  1. The above set of parameters are close to, for instance, the studies carried out by43,52.