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  • Thesis

  • Authors: Azer, Karim (2006)

  • In this thesis, we present a one-dimensional model for blood flow in arteries, without assuming an a priori shape for the velocity profile across an artery. We combine the one-dimensional equations for conservation of mass and momentum with the Womersley model for the velocity profile in an iterative way. The pressure gradient of the one-dimensional model drives the Womersley equations, and the velocity profiles calculated then feed back into both the friction and nonlinear parts of the one-dimensional model. Besides enabling us to evaluate the friction correctly and also use the velocity profile to correct the nonlinear terms, the velocity profiles play a central role in the calculation of the effective diffusion coefficient, and convection coefficient, in the theory of Taylor diff...