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     CFD Assessment of Extrusion Bioprinting Parameters
               Nozzles are very important in determining  the   shear stress as a measure of cell viability and concluded
           printability of bioinks and survivability of cells; therefore,   that convergence angle of the nozzle and exit diameter
           the nozzle design is critical and takes into consideration   had the greatest effect on printability and cell viability.
           various aspects, including viscosity of bioink, shear-  Emmermacher  et al.  used computational  simulations
                                                                                 [9]
           thinning  property,  and  shear  stress induced  during  the   and analytical calculations to predict mechanical stress,
           printing process. Cells are exposed to various mechanical   pressure  gradient,  and  flow  rate  for  optimizing  the
           forces, and among these, shear stress is regarded  as   bioprinting  process and developing new bioinks. Göhl
           especially  significant  since  it  is  the  main  cause  of  cell   et al.  simulated the flow of bioink from a nozzle onto a
                                                                   [10]
           damage and death. These forces are directly proportional   printing plate using a proprietary CFD simulation tool IPS
           to  the  inlet  pressure of the  nozzle  and  an  increased   IBOFlow to evaluate the effect of bioprinting parameters,
           pressure corresponds to an increased shear stress endured   such as printing speed and nozzle height, on the printed
           by the cells. The cells near the wall experience greater   strand resolution. Gómez-Blanco  et al.  investigated
                                                                                                 [11]
           shear stress compared  to  the  cells  in the  center  of the   the effect of inlet velocity, which is proportional to flow
           nozzle, and the cell viability decreases in an exponential   rate and can affect the extent of pressure endured by cells
           manner as shear stress increases . On the other hand, an   during the bioprinting process. Reina-Romo  et al.
                                                                                                            [12]
                                      [6]
           overly low inlet pressure will result in no or little bioink   studied the effect of conical and blunted nozzle geometry
           being deposited, whereas a pressure too high will result in   on cell viability through computational simulations and
           excess bioink being deposited .                     conducted  additional  comparisons with experimental
                                    [7]
               The behavior of the bioink flowing inside a nozzle   results. Most computational  studies are limited  by the
           is an important aspect to determine, but is difficult to   fact  that  they  are  specific  to  certain  bioinks  and/or
           achieve with experimental tests, mainly due to the small   nozzle  geometries and some by the  use of proprietary
           size of the nozzles, which make it harder to directly   software that hinders reproducibility. Our study aims to
           probe  without  interfering  with  the  measurements.   not only characterize holistically the effect of bioprinting
           Experimental  tests  of  bioink  behavior  are  usually   parameters but also investigate whether the trends in the
           focused on bioprinting results, such as printability,   results observed for a particular bioink are transferable to
           shape fidelity, or cell viability, but studies on influential   and reproducible in other bioinks.
           bioprinting parameters, such as shear stress, pressure,   In this paper, we will use CFD to provide an
           and velocity, are not as common experimentally ;    overview  of  the  effects  of  dispensing  pressure,  nozzle
                                                         [8]
           therefore, computational simulations are increasingly   diameter, and nozzle  geometry, which are bioprinting
           being used to address this gap.                     parameters  known  to  greatly  affect  the  shear  stress
               Computational fluid dynamics (CFD) can provide   experienced  by  cells  in  bioink .  Using the  wall  shear
                                                                                         [6]
           key  insights  into  the  effect  of  specific  bioprinting   stress as a measure of cell viability, we will analyze the
           parameters  that  cannot  be  measured  while  running  an   effect of these parameters taking into consideration the
           experiment. For instance, using CFD, we can calculate   rheological properties of the bioinks. We also investigate
           microfluidics inner parameters, such as velocity, pressure,   the impact of printing speed and dynamic behavior of the
           or  shear  stress,  which  are  experimentally  difficult  to   extruded bioink through transient simulations.
           measure . Experimental  tests focus on bioprinting
                  [7]
           results (printability, shape fidelity, or cell viability) but   2. Materials and methodology
           require a large number of iterations, thereby increasing   2.1. Modeling
           the  cost,  especially  if  the  bioink  is  prepared  using
           expensive materials.  CFD  can reduce such iterations,   We adapted the procedure outlined by Magalhães et al.
                                                                                                             [2]
           thereby  making  the  process  cost  and  time  efficient. As   using three distinct nozzle geometries, namely, tapered
           previously  mentioned,  doing a measurement  itself  can   conical, conical, and cylindrical, as shown in Figure 1.
           affect the parameters since the measurement devices have   Three-dimensional  models  were created  for each  of
           a non-negligible size compared to the conditions of the   the  nozzle  designs using 3D Computer-Aided Design
           experiment . CFD is widely used to obtain flow behavior   software, Solidworks. The inlet diameter (D ) was kept
                    [7]
                                                                                                    in
           in simple or more complicated designs and can pinpoint   constant at 10.0 mm across all three nozzle geometries,
           the exact spatial coordinates where forces are exerted on   whereas the outlet diameter (D ) was varied as 0.1 mm,
                                                                                         out
           the cells, facilitating bioprinter optimization for complex   0.3 mm, and 0.5 mm, which correspond to the nominal
           geometries.                                         inner diameter of 32G, 24G, and 21G commercial nozzles
               In recent  years, several  papers have discussed   commonly used in bioprinting, respectively. The angle of
           optimizing  extrusion bioprinting using computational   convergence was noted as a driven variable. The complete
           simulations. Magalhães  et al.  looked at optimizing   specification of the nozzles is provided in Table 1. The
                                     [2]
           nozzle  geometry  through  CFD simulation  using  wall   3D models were imported into Ansys Fluent  2021 R1
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           46                          International Journal of Bioprinting (2022)–Volume 8, Issue 2
     	
