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Mass diffusion in multi-layer systems: an electrical analogue modelling approach.

Pawel Rochowski1, Giuseppe Pontrelli2

  • 1Institute of Experimental Physics, Faculty of Mathematics, Physics and Informatics, University of Gdansk, Wita Stwosza 57, 80-308, Gdansk, Poland.

Computers in Biology and Medicine
|July 14, 2022
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Summary
This summary is machine-generated.

This study introduces an electrical circuit analogy for predicting mass transfer from complex shapes. The model accurately estimates release times and concentrations, offering a simplified approach to diffusion problems.

Keywords:
Characteristic timeDrug releaseElectric circuit analogueMass diffusion

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Area of Science:

  • Mass Transfer Phenomena
  • Electrical Engineering Analogies
  • Computational Modeling

Background:

  • Diffusion-dominated mass transfer is crucial in various scientific and engineering fields.
  • Modeling complex geometries for mass release presents significant challenges.
  • Existing analytical and numerical methods can be computationally intensive.

Purpose of the Study:

  • To develop a simplified lumped parameter model for predicting mass release from arbitrary shapes.
  • To establish a one-to-one analogy between diffusion systems and electrical circuits.
  • To provide exact solutions for averaged concentrations and mass released.

Main Methods:

  • Development of a lumped parameter model based on electrical circuit analogies.
  • Utilizing the analogy to derive exact solutions for mass transfer.
  • Defining equivalent resistance and release time based on diffusivity.
  • Extending the model to multi-layer and multi-phase systems in various geometries.

Main Results:

  • The model provides exact solutions for averaged concentrations and mass released.
  • Equivalent resistance and release time are inversely proportional to diffusivity.
  • A defined time constant facilitates analysis.
  • The approach is extendable to complex multi-layer and multi-phase scenarios.

Conclusions:

  • The electrical analogue approach offers a powerful and simplified method for mass transfer prediction.
  • The model demonstrates satisfactory accuracy when compared to analytical, numerical, and experimental solutions.
  • This method provides valuable insights into diffusion-dominated mass transfer systems.