Computational study of the interaction between a newtonian fluid and a cellular biological medium in a straight vessel
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Inclou dades d'ús des de 2022
Cita com:
hdl:2117/327587
Tipus de documentText en actes de congrés
Data publicació2011
EditorCIMNE
Condicions d'accésAccés obert
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Abstract
In this work, we solve numerically the governing equations for quasi-steady
Newtonian flow past and through a cellular biological medium, which is attached to the
surface of a straight vessel. The flow past the cellular biological medium is described by the
Navier-Stokes equations. For the modeling of momentum transfer within the cellular
biological medium, we consider that the cellular biological medium constitutes a biphasic
fluid-solid mixture with poroelastic behaviour. The system of governing equations is solved
numerically with the mixed finite element method. The computational domain is discretized
using an unstructured, variable density triangular element mesh. From the numerical solution
we obtain the spatial distributions of: (i) the fluid velocity and pressure, and (ii) the
displacement and stresses of the solid matrix within the cellular biological medium. Also, the
components of the overall hydrodynamic force exerted by the flowing fluid on the cellular
biological medium are calculated. A parametric analysis is performed with regard to the
Reynolds and Darcy numbers that characterize the flow past and through the cellular
biological medium.
CitacióAlexiou, T.S.; Kapellos, G.E.; Pavlou, S. Computational study of the interaction between a newtonian fluid and a cellular biological medium in a straight vessel. A: COUPLED IV. "COUPLED IV : proceedings of the IV International Conference on Computational Methods for Coupled Problems in Science and Engineering". CIMNE, 2011, p. 1120-1127. ISBN 978-84-89925-78-6.
ISBN978-84-89925-78-6
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