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Alteration in membrane-based pumping flow with rheological behaviour: A mathematical model.

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  • 1Department of Mathematics, National Institute of Technology, Uttarakhand, Srinagar 246174, India.

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This study models membrane-based pumps, revealing how blood

Keywords:
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Area of Science:

  • Fluid dynamics
  • Biomedical engineering
  • Rheology

Background:

  • Blood exhibits complex, non-Newtonian fluid properties.
  • Blood rheology varies individually, often modeled as Carreau fluids.
  • Membrane-based pumps are crucial in biomedical applications.

Purpose of the Study:

  • To analyze membrane-based pump performance with diverse fluid rheological properties (shear-thinning, Newtonian, shear-thickening).
  • To investigate the impact of velocity slip on pump function.
  • To understand fluid behavior within microchannels under pumping action.

Main Methods:

  • Mathematical modeling using conservation principles (mass, momentum).
  • Application of the Carreau fluid model for stress-strain relationships.
  • Employing perturbation methods for series solutions and incorporating velocity slip conditions.

Main Results:

  • Fluid pressure in microchannels is sensitive to rheological properties and Weissenberg number.
  • Flow field exhibits chaotic behavior in the membrane region due to pressure gradients.
  • Shear-driven flow significantly influences fluid velocity reduction.

Conclusions:

  • The developed model offers insights into rheological effects and velocity slip in membrane pumps.
  • This framework aids in designing advanced pumps for biomedical and industrial fluid handling.
  • Understanding these factors is key for optimizing smart pump technology.