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Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
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Rapidly Varying Flow01:24

Rapidly Varying Flow

Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
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Applications of Integration to Find Blood Flow01:27

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Updated: May 7, 2026

Microfluidic Devices for Characterizing Pore-scale Event Processes in Porous Media for Oil Recovery Applications
08:38

Microfluidic Devices for Characterizing Pore-scale Event Processes in Porous Media for Oil Recovery Applications

Published on: January 16, 2018

A Porous Media Model for Blood Flow within Reticulated Foam.

J M Ortega1

  • 1Staff Scientist, Computational Engineering Division, Lawrence Livermore National Laboratory, Liver-more, CA.

Chemical Engineering Science
|September 14, 2013
PubMed
Summary
This summary is machine-generated.

A new porous media model describes non-Newtonian blood flow through reticulated foam. It identifies three flow regimes dominated by different forces, accurately predicting pressure gradients.

Keywords:
Biomedical engineeringBloodComputational fluid dynamicsFoamNon-newtonian fluidPorous media

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Published on: July 2, 2020

Area of Science:

  • Biomedical Engineering
  • Fluid Dynamics
  • Materials Science

Background:

  • Non-Newtonian fluid behavior, like blood, complicates flow modeling in porous structures.
  • Reticulated foam presents complex geometries for fluid dynamics studies.
  • Understanding blood flow in porous media is crucial for biomedical applications.

Purpose of the Study:

  • To develop an empirical porous media model for non-Newtonian blood flow.
  • To characterize flow regimes based on dominant forces (non-Newtonian viscous, Newtonian viscous, inertial).
  • To validate the model against simulation data for blood flow in reticulated foam.

Main Methods:

  • Development of an empirical model correlating pressure gradient and flow speed.
  • Analysis of blood flow through two distinct reticulated foam geometries.
  • Comparison of model predictions with computational fluid dynamics (CFD) simulation data.

Main Results:

  • The model successfully divides the pressure gradient-flow speed curve into three distinct regimes.
  • It accurately captures the pressure gradient across all regimes, particularly the Newtonian regime.
  • The model reflects blood's transition from power-law to constant viscosity in the Newtonian regime.

Conclusions:

  • The developed porous media model provides an effective framework for analyzing non-Newtonian blood flow in reticulated foams.
  • The model's ability to distinguish flow regimes enhances understanding of fluid behavior in complex porous media.
  • Accurate prediction of pressure gradients, especially during viscosity transitions, is a key outcome.