TY - JOUR
T1 - Effect of micropolar fluid properties on the hydraulic permeability of fibrous biomaterials
AU - Karvelas, E. G.
AU - Tsiantis, A.
AU - Papathanasiou, T. D.
N1 - Funding Information:
This work was partially supported by Grant Award Number 090118FD5313 at Nazarbayev University. The authors would like to acknowledge the support of the Greek Research and & Technology Network (GRNET) for the computational time granted in the National HPC facility ARIS. Also Prof. I. Sarris of the University of Western Athens as well as Mr. Thomas and Mr. Koutsoukos (University of Thessaly) for valuable discussions regarding the development and validation of the micropolar fluid flow solver.
Funding Information:
This work was partially supported by Grant Award Number 090118FD5313 at Nazarbayev University . The authors would like to acknowledge the support of the Greek Research and & Technology Network (GRNET) for the computational time granted in the National HPC facility ARIS. Also Prof. I. Sarris of the University of Western Athens as well as Mr. Thomas and Mr. Koutsoukos (University of Thessaly) for valuable discussions regarding the development and validation of the micropolar fluid flow solver.
Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2020/3
Y1 - 2020/3
N2 - Background and objective: In this work, the effect of the micropolar fluid parameters on the hydraulic permeability of fibrous biomaterials comprised of square arrays of undirectional fibrils is investigated. Methods: Simulations are carried out in three dimensional geometries consisting of 9 unidirectional fibers regularly placed in a square lattice within a unit cell. Fiber arrays with volume fraction from 0.1 to 0.6 are considered. The effect of each of the micropolar parameters, namely the vortex viscosity (m), spin gradient viscosity (N) and microinertia constant (J) on the hydraulic permeability is analysed and the differences from Newtonian fluid flow are presented. Results: Among the micropolar parameters, the vortex viscosity and the spin gradient viscosity affect the hydraulic permeability, while the effect of the micro inertia constant seems to be insignificant. A relationship that connects the difference in the hydraulic permeability between the micropolar and the Newtonian case (ΔK) and the vortex and spin gradient viscosity is presented, the main finding being that ΔK is proportional to the product m · N. Conclusions: The effects of the micropolar parameters are found to decrease as the volume fraction of the fiber arrays increases; this is due to the reduction in available flow area and the corresponding decrease in microrotation.
AB - Background and objective: In this work, the effect of the micropolar fluid parameters on the hydraulic permeability of fibrous biomaterials comprised of square arrays of undirectional fibrils is investigated. Methods: Simulations are carried out in three dimensional geometries consisting of 9 unidirectional fibers regularly placed in a square lattice within a unit cell. Fiber arrays with volume fraction from 0.1 to 0.6 are considered. The effect of each of the micropolar parameters, namely the vortex viscosity (m), spin gradient viscosity (N) and microinertia constant (J) on the hydraulic permeability is analysed and the differences from Newtonian fluid flow are presented. Results: Among the micropolar parameters, the vortex viscosity and the spin gradient viscosity affect the hydraulic permeability, while the effect of the micro inertia constant seems to be insignificant. A relationship that connects the difference in the hydraulic permeability between the micropolar and the Newtonian case (ΔK) and the vortex and spin gradient viscosity is presented, the main finding being that ΔK is proportional to the product m · N. Conclusions: The effects of the micropolar parameters are found to decrease as the volume fraction of the fiber arrays increases; this is due to the reduction in available flow area and the corresponding decrease in microrotation.
KW - Computational fluid dynamics
KW - Hydraulic permeability
KW - Micropolar fluid
KW - Micropolar parameters
KW - Square fiber arrays
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U2 - 10.1016/j.cmpb.2019.105135
DO - 10.1016/j.cmpb.2019.105135
M3 - Article
C2 - 31671342
AN - SCOPUS:85074162119
SN - 0169-2607
VL - 185
JO - Computer Methods and Programs in Biomedicine
JF - Computer Methods and Programs in Biomedicine
M1 - 105135
ER -