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- W2806941379 abstract "The three-dimensional model associated with blood flow where viscosity depends on shear-rate, suchpower-law type dependence, is a complex model to study in terms of computational optimization, which in manyrelevant situations becomes infeasible. In order to simplify the three-dimensional model and as an alternative toclassic one-dimensional models, we will use the Cosserat theory related with fluid dynamics to approximate thevelocity field and thus obtain a one-dimensional system consisting of an ordinary differential equation dependingonly on time and on a single spatial variable, the flow axis. From this reduce system, we obtain the unsteadyequation for the mean pressure gradient depending on the volume flow rate, Womersley number and the flowindex over a finite section of the tube geometry. Attention is focused on some numerical simulations for constantand non-constant mean pressure gradient using a Runge-Kutta method and on the analysis of perturbed flows.In particular, given a specific data we can get information about the volume flow rate and consequently we canillustrate the three-dimensional velocity field on the constant circular cross-section of the tube. Moreover, wecompare the three-dimensional exact solution for steady volume flow rate with the corresponding one-dimensionalsolution obtained by the Cosserat theory" @default.
- W2806941379 created "2018-06-13" @default.
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- W2806941379 date "2018-01-01" @default.
- W2806941379 modified "2023-09-23" @default.
- W2806941379 title "Three-Dimensional Velocity Field for Blood Flow Using the Power-Law Viscosity Function" @default.
- W2806941379 hasPublicationYear "2018" @default.
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