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Triple-layered coaxial nozzle for 3D bioprinting
           cyanoacrylate solution and sodium bicarbonate was   conceived as a non-Newtonian fluid and its physical
           employed to adhere the different components into    parameters, such as density and dynamic viscosity,
           a single structure (Figure 1A). From a transverse   were used as input for calibrating the models. Air
           view, the  coaxial  nozzle  comprised  three  walls,   was, however, conceived as a Newtonian fluid and
           two  rings,  and  one  cylinder,  with  Gauges  (G)   its density and dynamic viscosity were also provided
           ranging from 13 to 25 G. This configuration led to   as input for the simulations. A parametric analysis
           three different flow channels, namely, channel a,   was performed by varying the inlet pressure (P) of
           b, and c, as shown in Figure 1B.                    channel b between 10 and 70 kPa and the Gauge of
             Based  on  this  prototype,  a  computationally   this flow channel was fixed at 18 G. Outlet velocity
           aided design model of the three flow channels was   and pressure were studied at the outlet of the flow
           developed  and  studied  using  computational  fluid   channel and compared to previously reported
           dynamics simulations in COMSOL Multiphysics         literature to validate the design in terms of cell
                                                         ®
           software. A two-dimensional axisymmetric domain     viability.
           of flow channel b and a glass printing surface, with   Three different coaxial nozzles were designed
           a 100 µm air interface in between, was modeled and   varying the area of the middle channel (namely, b
           simulated based on the overall design of the coaxial   in Figure 1B) and subsequently 3D printed using
           nozzle. This channel was of special interest as the   biocompatible photopolymer resins, namely, dental
           nozzle is intended for the extrusion of single-layered   SG FLSGOR01 and dental LT clear (Figure 1C).
           tubular structures and the cell-laden hydrogel will   The  dimensions  of  each  channel  are  reported  in
           be extruded through this channel. The hydrogel was   Table 1, along with the area of flow channel b (used

                        A                                 B                 C















           Figure 1. (A) Lateral and frontal view of the initial prototype of the triple-layered coaxial nozzle assembled
           with commercially available parts. (B) Schematic representation of the transverse view at the tip of the
           coaxial nozzle. The outer diameter and inner diameter of each channel were defined according to the
           results of the computational fluid dynamics simulations. (C) Three-dimensional printed coaxial nozzle.


           Table 1. Geometric data of the designed coaxial nozzles. ID and OD stand for inner diameter and outer
           diameter, respectively. The three flow channels of each nozzle are labeled as a, b, and c, as shown in
           Figure 1B.
           Parameter                      Nozzle 1                  Nozzle 2                   Nozzle 3
                                    a       b         c       a        b         c      a         b        c
           Gauge (G)               23       18       14       25       18       14      20        15      13
           ID (mm)                0.33     0.84     1.54     0.25     0.84     1.54    0.61      1.36     1.8
           OD (mm)                0.64     1.27     1.83     0.52     1.27     1.83    0.91      1.65     2.41
           OD – ID (mm)           0.32     0.43     0.29     0.27     0.43     0.29    0.30      0.29     0.61
           Layer thickness (mm)            0.20                       0.32                      0.45
           Layer area (mm )                0.232                      0.341                     0.802
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           98                          International Journal of Bioprinting (2020)–Volume 6, Issue 4
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