“…Watanabe et al [14] optimized the geometry of the magnetic circuit and developed a new injector based on dynamic electromagnetic field simulation, the dynamic response time had a great reduce compared with the conventional one. Bircher [18] and Motoyuki [19] performed multi-physics simulations of electromagnetic micro valves for automatic dispensing in chemistry applications. In their approaches, the whole process, including the magnetic force, the movement of the plunger, the flow, and the droplet break up, was simulated.…”