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Updated: May 13, 2026
09:04
A Modeling and Simulation Method for Preliminary Design of an Electro-Variable Displacement Pump
Published on: June 1, 2022
One-dimensional model of inertial pumping.
Pavel E Kornilovitch1, Alexander N Govyadinov, David P Markel
1Hewlett-Packard Company, Printing and Personal Systems, Corvallis, Oregon 97330, USA. pavel.kornilovich@hp.com
Summary
This study introduces a one-dimensional model for inertial pumping in microchannels, driven by vapor bubbles. An optimal microheater position is identified for efficient fluid flow, with viscosity impacting performance.
Area of Science:
- Fluid dynamics
- Microfluidics
- Thermodynamics
Background:
- Microfluidic devices rely on efficient fluid manipulation.
- Inertial pumping offers a potential method for microscale fluid transport.
- Understanding bubble dynamics is crucial for microfluidic pump design.
Purpose of the Study:
- To develop and analyze a one-dimensional model of inertial pumping.
- To investigate the influence of microheater position on fluid flow.
- To compare symmetrical and asymmetrical models of the pumping mechanism.
Main Methods:
- A one-dimensional model of inertial pumping was developed and solved.
- Fluid dynamics were described using a Newton-like equation with variable mass.
- Analytical and numerical analyses were performed on two model versions.
- The effect of viscosity on pumping was investigated.
Main Results:
- Both symmetrical and asymmetrical models predict an optimal microheater location for low/intermediate bubble pressures.
- The asymmetrical model shows approximately half the net flow compared to the symmetrical model.
- Viscosity reduces pumping efficiency, with location-dependent effects.
- Unphysically high bubble pressures lead to saturation in the asymmetrical model, unlike the symmetrical model.
Conclusions:
- The developed inertial pumping model provides insights into microfluidic flow generation.
- Microheater placement is a critical parameter for optimizing inertial pump performance.
- Model predictions highlight differences between symmetrical and asymmetrical configurations and the role of viscosity.
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