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Theoretical Predictions of Flow Profiles in Capillary Blood Vessels

The purpose of this thesis is to illustrate the nature of blood flow within capillaries by using familiar mathematical techniques. Because the circulatory system is so complex, the fluid dynamics of the system is prefaced by a discussion of the circulatory physiology in terms of geometry and physics. The understanding of the basic structures and functions of the circulatory components necessarily precedes the justification of assumptions. Several mathematical models which attempt to describe the fluid dynamics of blood flow phenomena are presented and discussed. The results of these models are correlated with existing experimental data in order to determine which mathematical models best predict the fluid dynamic behavior within the capillaries. The significance of this behavior is then noted with respect to diffusion within capillaries. It is noted that bolus flow offers the greatest rate of exchange of the models discussed. Conclusions are discussed and related to further applications and research.

Identiferoai:union.ndltd.org:ucf.edu/oai:stars.library.ucf.edu:rtd-1012
Date01 January 1972
CreatorsHallman, Eileen
PublisherFlorida Technological University
Source SetsUniversity of Central Florida
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceRetrospective Theses and Dissertations
RightsPublic Domain

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