Modeling Liebau pumping under resonant conditions

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Abstract
The Liebau effect refers to the generation of unidirectional net fluid flow induced by periodic compression and release actions on a compliant tube within systems comprising tubes with varying elastic properties. This study introduces a semi-empirical model that elucidates Liebau pumping in scenarios involving impedance pumping, asymmetric pumping, or a combination thereof. The authors have established a Liebau pump configuration, previously employed in their experimental and numerical investigations. Experiments were conducted to validate the model in a facility designed to replicate the model configuration. A parametric analysis was performed using this model, emphasizing the most critical parameters influencing the pump operation and their interrelations. Furthermore, a dimensionless formulation is proposed, which not only aids in parametric analysis but also provides practical guidelines for optimizing the pump performance. This work extends previous models by incorporating the impedance pumping mechanism and examining the impact of the mechanical properties of the compliant tube.
Funding Information
  • Junta de Castilla y León (VA182P20)

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