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Bioengineering 2018, 5(3), 63;

Impedance Pumping and Resonance in a Multi-Vessel System

School of Mechanical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
Author to whom correspondence should be addressed.
Received: 10 June 2018 / Revised: 3 August 2018 / Accepted: 7 August 2018 / Published: 9 August 2018
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Impedance pumping is a mechanism that generates flow in a compliant vessel by repeatedly actuating the vessel asymmetrically, without employing any internal valves, blades, or other mechanisms. The net flow is obtained by establishing a constructive wave pattern. Elaborate studies of impedance pumping in a single vessel have shown that the flow rate strongly depends on the actuation frequency, as well as on other parameters, such as actuator location and amplitude, and that it operates best in the resonance mode. The present study extends these principles to a network of multiple compliant vessels, representing a cardiovascular system. The flow is modeled numerically by the one-dimensional approximation of the Navier-Stokes equations. Two configurations were examined, systems consisting of three and five compliant vessels. First, the natural frequencies of these configurations were identified. Then, the dependence of the net flow rate (NFR) on the actuating frequency was explored, showing that impedance pumping operates best in the resonance mode in the case of a network of vessels as well. The impact of other parameters were studied as well, such as the location of one or two actuators, actuation amplitude, actuator width, the duty cycle, and the phase lag between the actuators. The results show that impedance pumps can generate significant NFR and the obtained NFR can be manipulated by properly setting up one or more of the governing parameters. These findings indicate that impedance pumping principles may be applied to flow control of the cardiovascular system. View Full-Text
Keywords: impedance pumping; valveless pumping; resonance; multi-vessel system; cardiovascular system impedance pumping; valveless pumping; resonance; multi-vessel system; cardiovascular system

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Zislin, V.; Rosenfeld, M. Impedance Pumping and Resonance in a Multi-Vessel System. Bioengineering 2018, 5, 63.

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