Non-Newtonian fluid models for blood flow analysis under abnormal rheological states/ Siti Nur Afiqah Wajihah Syahindah binti Haji Marali
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TextPublication details: Bandar Seri Begawan : Universiti Teknologi Brunei, 2022. Description: xv, 258 pages : illustrations ; 30 cmSubject(s): Dissertation, Academic | Thesis writing | Dissertation Universiti Teknologi Brunei | Blood flow -- Mathematical models | Hemorheology -- Mathematical models | Non-Newtonian fluids | Fluid mechanics -- Mathematical models | Biomedical engineering -- Research | Computational fluid dynamics | BiomechanicsOther classification: UTB 120 REPORT, THESIS & DISSERTATION | RTDS 403 Dissertation note: Dissertation (Doctor of Philosophy) - Universiti Teknologi Brunei (2022)
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Reports, Thesis & Dissertation Students
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Universiti Teknologi Brunei Library - at level 2 | UTB 120 REPORT, THESIS & DISSERTATION, RTDS 403 (Browse shelf(Opens below)) | Not for loan | Reg. no. 002447_UTB [RTDS 403] | 850575 |
Submitted in PHD fulfilment of the requirements for the degree of Doctor of Philosophy.
Abstract
The mathematical modelling of blood flow via dysfunctional arteries using non-Newtonian fluid models is very important not only to understand the fluid dynamical characteristics of blood, but also it is useful in the diagnosis and treatment of various cardiovascular illnesses, such as strokes, heart attacks, stenosis, and thrombosis. Thus, this thesis investigates three research problems pertaining to blood flow analysis. Firstly, the mathematical analysis of the two-phase flow of blood in small diameter blood vessel with the occurrence of mild stenosis, modelling the densely concentrated red cells in the core region as Herschel-Bulkley fluid and the plasma in the peripheral layer region as Newtonian fluid. Regular perturbation method is employed to solve the simplified momentum and constitutive equations along with the set of appropriate boundary conditions to obtain the analytical solution to various rheological measure. It is discovered that when the stenosis length ratio surges and the slip velocity increase rapidly, the core fluid’s viscosity decreases. Secondly, a four-layered fluid model is constructed with the aim to analyse the rheological aspects of blood when it flows through narrowed arteries with mild stenosis and the arterial wall is treated as a porous medium. The flow characteristics of blood in three different states of blood such as anemic, healthy and diabetic, are examined. It is noted that the ratio of increase in skin friction in the aforementioned states of blood are 4.7, 4.27 and 3.62, respectively when the stenotic depth surges from 0 to 0.15. Finally, a mathematical examination of blood flow via stenotic catheterised artery with thrombosis was performed by considering blood as Carreau fluid. One can note that an increase in Weissenberg number leads to the reduction of the fluid’s velocity and skin friction. The pressure gradient in the constricted artery is also reduced owing to the catheters’ efficacy.
Dissertation (Doctor of Philosophy) - Universiti Teknologi Brunei (2022)
Includes bibliographical references and index.
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