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Title: Modeling Of Blood Flow And Vessel Mechanics In The Cardiovascular System
Researcher: Sharma, Madhu
Guide(s): Gaur, Rajarshi Kumar
Keywords: Life Sciences,Biology and Biochemistry,Biochemistry and Molecular Biology
University: Mody University of Science and Technology
Completed Date: 2018
Abstract: In the thesis entitled Modeling of blood flow and vessel mechanics in newline newlinethe cardiovascular system , some mathematical models of blood flow with and without stenosis in an artery have been studied. In the analysis, body fluid blood is assumed to behave as Newtonian and non-Newtonian fluids. The thesis contains seven chapters including an introductory chapter. The thesis has been written with a view to give solutions to a number of blood flow problems concerning with porous medium, MHD, radiation, heat and mass transfer. The governing equations of motion (Navier-Stokes equations) are highly non-linear. The class of flows, which admits exact analytical solutions of these Navier-Stokes equations, is extremely narrow. The governing dimensional equations are non-linear, coupled partial differential equation. To find the solution of above equations, Finite difference method is applied. First-order derivatives are discretized by forwarding difference method and second-order derivatives are discretized by the central difference method. Algebraic equations form tridiagonal matrix which is solved by Thomas Algorithm in MATLAB. The solution at a certain time step has been chosen as an initial guess for next time step and iterations continued till convergence, within a prescribed accuracy. The results are represented graphically/tabulated to make comparative study. The effect of various parameters on the flow pattern of velocity, temperature and concentration distribution along with that ofshearing stress, rate of heat transfer and rate of mass transfer has been examined to draw physical interpretations from the numerical results which are of great importance to scientist and engineers. newlineThe present work will be appropriate for the application to the hydrodynamical flow of blood in a coronary artery when it is subjected to the influence of an externally applied magnetic field. The study can find applications in surgical operations, where it is necessary to decrease the blood flow rate. Due to the consideration of
Pagination: xix,206
Appears in Departments:School of Liberal Arts and Sciences

Files in This Item:
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01_title.pdf.pdfAttached File200.38 kBAdobe PDFView/Open
02_certificate.pdf402.56 kBAdobe PDFView/Open
03_preliminary pages.pdf1.13 MBAdobe PDFView/Open
04_chapter 1.pdf1.04 MBAdobe PDFView/Open
05_chapter 2.pdf964.47 kBAdobe PDFView/Open
06_chapter 3.pdf641.35 kBAdobe PDFView/Open
07_chapter 4.pdf731.92 kBAdobe PDFView/Open
08_chapter 5.pdf1.13 MBAdobe PDFView/Open
09_chapter 6.pdf932.8 kBAdobe PDFView/Open
10_chapter 7.pdf1.21 MBAdobe PDFView/Open
11_summary of the research work.pdf299.56 kBAdobe PDFView/Open
12_bibliography.pdf291.89 kBAdobe PDFView/Open
13_future prospects.pdf170.67 kBAdobe PDFView/Open
14_list of publications.pdf298.46 kBAdobe PDFView/Open

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