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Interaction between blood and solid particles propagating through a capillary with slip effects.

A Zeeshan1, A Fatima1, F Khalid1

  • 1Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan.

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PubMed
Summary
This summary is machine-generated.

This study models solid particle and blood flow in capillaries, considering cell suspension rheology and wall slip. Results offer insights into blood flow dynamics for complex models.

Keywords:
Blood flowCapillary motionParticle-fluidPerturbation solutionsSlip effects

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Area of Science:

  • Fluid dynamics
  • Biomedical engineering
  • Rheology

Background:

  • Blood flow in capillaries is complex, involving interactions between cells and vessel walls.
  • Understanding blood rheology is crucial for diagnosing and treating vascular diseases.
  • Particle-fluid interactions significantly influence blood flow behavior in microcirculation.

Purpose of the Study:

  • To investigate the interaction between solid particles and blood flow within a capillary.
  • To analyze the rheological characteristics of blood using a two-phase Newtonian fluid model.
  • To determine the influence of slip conditions at the capillary walls on blood flow.

Main Methods:

  • A two-phase Newtonian fluid model was employed to represent blood as a suspension of cells in plasma.
  • A perturbation method was utilized to derive series solutions for the governing differential equations.
  • Velocity and pressure distributions were calculated for both fluid and particle phases up to second-order approximation.

Main Results:

  • Series solutions for fluid and particle phases were obtained, including slip effects.
  • Expressions for velocity and pressure distributions within the capillary were determined.
  • The study successfully analyzed the impact of slip conditions on blood flow dynamics.

Conclusions:

  • The developed model provides a valuable tool for understanding blood rheology.
  • The findings contribute to the analysis of more complex blood flow scenarios.
  • This research enhances the interpretation of microcirculatory blood flow and its associated phenomena.