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International Journal of Bioprinting                                 Fluid mechanics of extrusion bioprinting




















































                                          D                                       E

          Figure 14. Numerical simulation results for the distribution of shear and extensional stresses
            Figure 14. Numerical simulation results for the distribution of shear and extensional stresses inside the nozzle during extrusion bioprinting (A–C).
            Numerical results by Chand et al.  for extrusion through various dispensing nozzle: distribution of wall shear stress for (A) tapered conical, (B) conical,
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          inside the nozzle during extrusion bioprinting (A–C). Numerical results by Chand et al.  for
            and (C) cylindrical nozzles. Reprinted with permission from ref.  (D and E) Numerical results of Chirianni et al.  for extrusion through chamfered
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            nozzle: distribution of stresses on the middle plane of the nozzle; (D) shear stress, and (E) extensional stress in the contraction region and needle. Reprinted
          extrusion through various dispensing nozzle: distribution of wall shear stress for (A) tapered
            with permission from ref.   Copyright © (2024) Elsevier.
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          conical, (B) conical, and (C) cylindrical nozzles. Reprinted with permission from ref.  (D and
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          E) Numerical results of Chirianni et al.  for extrusion through chamfered nozzle: distribution
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                                                               of the bioink flow during the extrusion and deposition
            CFD to accurately predict the outcomes of the
            bioprinting process.                               on the stage, researchers can obtain more reliable
          of stresses on the middle plane of the nozzle; (D) shear stress, and (E) extensional stress in the
                                                               information about the process forces, fiber diameter, and
               There are various viscoelastic models, each with   even the printability of the bioink.
          contraction  region  and  needle.  Reprinted  with  permission  from  ref.    Copyright  ©  (2024)
            distinct  constitutive  equations,  that  should be  selected
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            based on the results of rheological tests. The process of   The constitutive equations of current viscoelastic
          Elsevier.                                            models are developed for single-component fluids
            fitting a viscoelastic model to the results of rheological
            tests and determining the parameters of the constitutive   with constant or temperature-dependent viscoelastic
            equation  requires   sophisticated  mathematical   properties. However, the simulation of multi-material
            calculations. 201,202   By selecting the  suitable  viscoelastic   bioprinting, which involves mixing miscible viscoelastic

            model for various bioinks and using CFD for simulation   fluids, requires viscoelastic models with composition-

            Volume 10 Issue 6 (2024)                       142                                doi: 10.36922/ijb.3973


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