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International Journal of Bioprinting                               Multi-physical field control inkjet bioprinting




            two parameters determined the size and duration of the   the pulse width was set to 1.5 ms, the pressure increased
            external force on the fluid, which affected the pressure field   directly to the voltage amplitude. Therefore, it could be
            and ultimately determined the diameters and velocities of   inferred that the diameter and velocity of the microdroplet
            the microdroplets.                                 were directly proportional to the voltage amplitude. We
                                                               also simulated the relationship between pressure and pulse
               Based on the above-mentioned control theory, we
            conducted a simulation using piezoelectricity and fluid–  width (Figure 3C). By converting acoustic pressure wave
                                                               oscillation problems into electrical oscillation problems,
            structure interaction modules. To set the simulation   the difficulty of process analysis and modeling can be
            boundary conditions, we applied a back pressure of 970 Pa   greatly simplified.  During the process of analogy, the
                                                                              38
            at the entrance, and set the exit speed to 0. Additionally, we   similarity between the physical processes of pressure
            made the inner and outer walls of the piezoelectric ceramics   release and capacitor discharge is used to liken the process
            bipolar, with the inner wall grounded and the outer wall   of pressure change to the process of capacitor charging
            applied with driving voltage. The driving waveform is   and discharging. 39,40  The present work also used the
            presented in Figure 1A, with a voltage amplitude of 192   mathematical form of capacitor charging and discharging
            V. We conducted simulations to investigate the effects of   to express the changes in pressure, as defined by Equation
            the voltage amplitude and pulse width. By controlling the   III, which can be applied for piezoelectric inkjet printing.
            voltage amplitude and pulse width, the deformation of the   Experimental observation can solve the formula coefficient
            piezoelectric ceramic and the change in pressure field at the   when there is a change in the printing material or printhead
            corresponding time were studied (Figure 3A). The driving   structure (the formula derivation process is shown in the
            wave controlled the vibration of the piezoelectric ceramic,   Supplementary File),
            and the piezoelectric ceramic controlled the internal
            pressure field of the printhead through deformation.              PAe=  − (  tT/ )            (III)
               Since the pressure at the nozzle was the most critical
            factor for the formation of microdroplets, we used the   where P,  A, t, and  T are pressure, coefficient, time,
            simulation to obtain the relationship between the pressure   and time constant, respectively. The change in pressure
            at the nozzle and the voltage amplitude (Figure 3B). When   followed the functional relationship of capacitance



































            Figure 3. Pressure field control. (A) The upper half of the graph shows the control of piezoelectric ceramic deformation by the driving wave, and the lower
            half shows at the same time the internal pressure field in the printhead controlled by piezoelectric ceramic deformation. (B) Effect of the applied voltage
            amplitude on pressure at the nozzle. (C) Effect of the applied pulse width on pressure at the nozzle.


            Volume 10 Issue 3 (2024)                       366                                doi: 10.36922/ijb.2120
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