Masters Theses
Abstract
"A model describing the flow of plasma from the capillaries to the interstitial space in the extravascular tissue and back into the capillaries is constructed and solved. The flow through the tissue or the interstitial spaces is described by the Brinkman equation for porous medium, modified to account for the presence of cells considered as spheres. The flow of blood through the capillaries is considered to be that of a Newtonian fluid. The flow between capillary and tissue is coupled by the permeability of the capillary wall. The nature of flow and its magnitude was found to be highly dependent on the values of the coupling constants which relate the resistances to plasma flow in the extravascular space and the capillary. The flow in the extravascular tissue is found to be very low. The flow profiles show that there is mixing of the interstitial fluid in the extravascular tissue. It is shown here that local flow of plasma in the extravascular space is greater than lymph flow and hence cannot be ignored. This model bridges the gap between Krogh cylinders when only diffusion is considered, and stirred tanks where convection is dominant and there are no mass transfer resistances. However, the high level of mixing suggests that the model is closer to stirred tanks"-- Abstract, p. iii
Advisor(s)
Neogi, P. (Partho), 1951-
Committee Member(s)
Sourlas, Dennis
Brown, Roger F.
Department(s)
Chemical and Biochemical Engineering
Degree Name
M.S. in Chemical Engineering
Publisher
University of Missouri--Rolla
Publication Date
Summer 2002
Pagination
ix, 52 pages
Note about bibliography
Includes bibliographical references (pages 49-51)
Rights
© 2002 Nandini Madhukar Sane, All rights reserved.
Document Type
Thesis - Restricted Access
File Type
text
Language
English
Subject Headings
Drug delivery systems -- Research
Thesis Number
T 8176
Print OCLC #
52801271
Recommended Citation
Sane, Nandini Madhukar, "Convective-diffusive transport in Krogh Cylinder" (2002). Masters Theses. 2267.
https://scholarsmine.mst.edu/masters_theses/2267
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