Convection in a Krogh Cylinder: Putting Back Fluid Flow in the Extravascular Tissue

Abstract

Models for drug delivery are based on the use of stirred tanks to represent organs that contain no mass transfer resistances. In the original Krogh cylinder model, a mass transfer resistance shows up but there is no convection in the tissue where convection should matter. In the present study, a two-dimensional flow field is used to show that when a liquid enters the capillary, some leave through the walls into the tissue at the arterial end and then doubles back into the capillary at the venous end. Some flow does not return which is taken to be the flow to the lymphatic system. We can get the measured transcapillary pressure drop of about 2,666 Pa if in addition the compliance of the tube wall is taken into account. Very realistic flow fields have been shown for a model liver and a tumor.

Department(s)

Chemical and Biochemical Engineering

Keywords and Phrases

fluid mechanics; Krogh cylinder; porous media

International Standard Serial Number (ISSN)

0001-1541; 1547-5905

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 American Institute of Chemical Engineers (AIChE), All rights reserved.

Publication Date

01 Nov 2019

Link to Full Text

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