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Systematic Thermal Analysis for Accurately Predicting the Extrusion Printability
           and the flow behavior index (n), can be described by   The filaments were divided into four types. The first was a
           Eq. (16).                                           well-defined swollen filament with a linewidth greater than
               Experimental  verification  was  conducted  on  the   the nozzle diameter (denoted by the red dots), the second
           proposed physical model (Figure 5), and Table 2 lists the   was  an  equivalent-diameter  filament  with  a  linewidth
           printing conditions. The minimum change step is shown   approximately  similar  to  that  of the  nozzle  diameter
           in brackets,  for example,  there is a change  in nozzle   (green dots), and the third was a stretched filament with
           temperature from 25°C to 29°C in increments of 1°C.  a linewidth narrower than the nozzle  diameter  (pink
               The  plots of  the  overall  phase  diagrams of the   dots). The fourth type was an irregular filament with a
           printed filaments using the 32-G (ID=0.11 mm) and the   standard  deviation  too  large  to  be  adapted  (blue  dots).
           23-G (ID=0.34 mm) nozzles are shown in Figures 5A–D.   For both nozzles, filaments’ formation was shown to be






            A                                                B

























            C                                               D


























           Figure 5. (A) Overall phase diagram of the printed filament using 32-G nozzle. (B) A typical two-dimensional phase diagram showing
           the influence of the velocity and the temperature on the linewidth. (C) Overall phase diagram of the printed filament using 23-G nozzle.
           (D) A typical two-dimensional phase diagram showing the influence of the pressure and the temperature on the linewidth (n=9, P<0.0001,
           error=S.D.).

           116                         International Journal of Bioprinting (2021)–Volume 7, Issue 3
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