Development of a two-dimensional model of blood microcirculation flows
Name
1011356746-MIT.pdf
Description
Full printable version
Size
18.34 MB
Format
Adobe PDF
Checksum (MD5)
02e9e26fbfb0b11721433718a24504dd
Author(s)
Sabo, Kevin (Kevin M.)
Advisor(s)
Wesley L. Harris.
Date Issued
2017
Publisher
Massachusetts Institute of Technology
Abstract
This thesis presents the development of a dimensionless blood microcirculation model for the study of blood microcirculation flows. It is a two dimensional, axially symmetric, incompressible, Newtonian-flow, Krogh cylinder model subjected to axially periodic boundary conditions. This model formulation allows for the use of the streamfunction-vorticity formulation of the Navier-Stokes equation, which offers simplification to boundary conditions and also allows for the use of a non-uniform, collocated mesh. A streamfunction vorticity formulation of the Immersed Boundary Method is also developed, specifically for the boundary conditions along the immersed boundary (red blood cell membrane). Periodic boundary conditions are used, with the assumption of fully-developed flow, in order to focus on the effects of the transient diffusion of oxygen into the surrounding tissue, orthogonal to the capillary flow direction.
Description
Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2017.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 173-174).
Subjects
Aeronautics and Astronautics.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Terms of Use
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