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Valveless pumping assists in fluid transport in various organisms andengineering systems. In a previous work, to study the actuator impact effectson valveless pumping, we constructed a piecewise-linear lumped-parameter modelfor a closed-loop system, which consists of two distensible fluid reservoirsconnected by two rigid tubes. The preliminary asymptotic and numerical resultsof that work indicated that the system dynamics is rather rich and complex, andstrongly depends upon the driving frequency of the actuator (which periodicallycompresses one of the distensible reservoirs) and other system parameters.Here, a more comprehensive numerical study on the aforementioned model iscarried out, so as to clarify how many different types of system responses canbe excited, and to locate the parameter boundaries within which each typeexists. Moreover, by examining the driving-frequency dependences of a number ofcharacteristic phases (such as the phase of the compression cycle at which theactuator collides with or separates from the distensible reservoir it actsupon), the interrelations between different types of system responses areidentified.

Dynamical Responses of a Valveless Fluid Loop Excited by the Impact of a Compression Actuator