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Title: Mesoscopic lattice Boltzmann method for simulating blood flow and red blood cell deformation in microvessels
Author: Raheed, Muhammad Hama-Ali
ISNI:       0000 0004 2736 6838
Awarding Body: Bangor University
Current Institution: Bangor University
Date of Award: 2012
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This thesis develops a mesoscopic technique based on the numerical concepts of Lattice Boltzmann Method (LBM) to simulate blood flow in microvessels. The central theme of the thesis is to simulate the two- dimensional elastic deformation of Red Blood Cells (RBCs), and stream- ing under various types of loadings in the systemic microvessels. Two types of elastic deformation of RBCs that arise from the RBC-plasma and RBC- RBC interaction have been studied by using the most common Two-Dimensional LBM abbreviated as the D2Q9-LBM model. Since the model cannot handle the deformation of the cell independently, the Immersed Boundary Method (IBM) was incorporated in the D2Q9- LBM to simulate the neo-Hookean deformable RBCs due to the interactions of RBCs with plasma, where the deformation, angular shift and motion of RBCs in plasma have been tracked without involving in the measure of their size and volume change. In addition, further local RBCs deformation enhanced by RBC- RBC interaction has been investigated by utilizing the Morse potential model in the combined LBM-IBM model. Prior to using the LBM on the RBCs deformation, we have performed a successful benchmark on Poiseuille flow between a pair of parallel plates by comparing the D2Q9- LBM model with known analytical solution. After a full agreement between both methods was achieved, the D2Q9- LBM code has been applied to more realistic flow problems, such as flow through constricting, expanding and branching channels, and flow past miscellaneous obstacles as the real blood flow experiences. The combination scheme of the LBM- IBM is based on solving the flow dynamics by the D2Q9- LBM on fixed and regular Eulerian grid of lattices. On the other hand, the hydrodynamic features of neo- Hookean deformable RBCs are transported through IBM on moving and non- regular Lagrangian grid of points that follow the RBCs evolution in the blood. Three different sizes of the deformable RBCs on the basis of the lattice unit have been studied. The deformation of the RBCs due to cell-plasma interaction has been investigated under two varying mechanicalloadings namely; the stretching and bending modulus while the deformation due to cell-cell interaction has been investigated under three different values of the interaction strength potential.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available