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http://hdl.handle.net/10174/23872
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Title: | Three-Dimensional Velocity Field for Blood Flow Using the Power-Law Viscosity Function |
Authors: | Carapau, Fernando Conceição, Ricardo |
Editors: | Lazard, Myriam |
Keywords: | Cosserat theory blood flow shear-thinning fluid one-dimensional model, power-law model volume flow rate mean pressure gradient. |
Issue Date: | Oct-2018 |
Publisher: | WSEAS-World Scientific and Engineering |
Citation: | F. Carapau, R. Conceição, Three-Dimensional Velocity Field for Blood Flow Using the Power-Law Viscosity Function, WSEAS Transactions on Heat and Mass Transfer, 13, 2018, pp. 35-48. |
Abstract: | The three-dimensional model associated with blood fl w where viscosity depends on shear-rate, such
power-law type dependence, is a complex model to study in terms of computational optimization, which in many
relevant situations becomes infeasible. In order to simplify the three-dimensional model and as an alternative to
classic one-dimensional models, we will use the Cosserat theory related with flui dynamics to approximate the
velocity fiel and thus obtain a one-dimensional system consisting of an ordinary differential equation depending
only on time and on a single spatial variable, the fl w axis. From this reduce system, we obtain the unsteady
equation for the mean pressure gradient depending on the volume fl w rate, Womersley number and the fl w
index over a finit section of the tube geometry. Attention is focused on some numerical simulations for constant
and non-constant mean pressure gradient using a Runge-Kutta method and on the analysis of perturbed fl ws.
In particular, given a specifi data we can get information about the volume fl w rate and consequently we can
illustrate the three-dimensional velocity fiel on the constant circular cross-section of the tube. Moreover, we
compare the three-dimensional exact solution for steady volume fl w rate with the corresponding one-dimensional
solution obtained by the Cosserat theory. |
URI: | http://www.wseas.org/multimedia/journals/heat/2018/a085912-147.pdf http://hdl.handle.net/10174/23872 |
ISSN: | 2224-3461 |
Type: | article |
Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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