5.25% sodium hypochlorite solution was adopted as the irrigation, with density of 1.04 g/cm3 and viscosity of 1.3 × 10−3 Pa*s [20 (link)]. The surfaces of the needle and root canal were regarded as rigid, impermeable walls, and a non-slip boundary condition was adopted in the simulation. The k-ω SST turbulence model that had been validated in our earlier studies was used [11 (link), 21 (link)]. Similar to the commonly used clinical irrigation flow of 0.26 mL/s [5 (link), 22 (link)], an inflow velocity of 8.6 m/s was adopted so that the effect of different working depths and root canal curvatures could readily be evaluated. Numerical simulation was carried out with software Ansys Fluent 18.1 (ANSYS Inc., Canonsburg, PA, USA).
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