A Multi-Dimensional Model of Momentum and Mass Transfer in the Liver

By: Material type: ArticleArticleDescription: 2421-2434 pISSN:
  • 0017-9310
Subject(s): Online resources: In: International Journal of Heat and Mass TransferSummary: A new concept in modeling multi-dimensional fluid flow and mass transfer in the liver utilizing principles from porous media theory is introduced. From this model, a distribution of the pressure and velocity values is obtained for fluid in the microvasculature. The velocities for the fluid are then incorporated into a multi-dimensional conservation of chemical species equation. A distribution of the chemical species concentration in the fluid and the tissue is then determined using an equation which describes the mass transfer process across the cell membrane. Several parametric studies which included the effects of the vascular architecture on pressure and flow distribution, and the response to a step change in the inlet chemical species concentration are conducted to determine the sensitivity of the model.

A new concept in modeling multi-dimensional fluid flow and mass transfer in the liver utilizing principles from porous media theory is introduced. From this model, a distribution of the pressure and velocity values is obtained for fluid in the microvasculature. The velocities for the fluid are then incorporated into a multi-dimensional conservation of chemical species equation. A distribution of the chemical species concentration in the fluid and the tissue is then determined using an equation which describes the mass transfer process across the cell membrane. Several parametric studies which included the effects of the vascular architecture on pressure and flow distribution, and the response to a step change in the inlet chemical species concentration are conducted to determine the sensitivity of the model.

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