Computational approaches for tortuosity determination in 3D structures

Tortuosity is a parameter of key importance to study transport properties in either solid phase (thermal, electrical) and/or fluid phase (acoustics, mass/heat flow, etc). This structure-related parameter expresses mathematically the real pathway distance in comparison to the straightest one when travelling along certain direction through the material’s internal structure. Tortuosity determination is not reliable in 2D and needs to be computed in 3D structures. However, computation of 3D algorithms in complex structures is not an easy task. This work discusses two methodological approaches based on their correspondent computation algorithms working on a collection of 3D tomography data sets of different cellular materials. The tortuosity analysis is carried out in both solid and fluid phases. Results will be compared and correlated. A detailed discussion in terms of these models and the materials will be given.Tortuosity is a parameter of key importance to study transport properties in either solid phase (thermal, electrical) and/or fluid phase (acoustics, mass/heat flow, etc). This structure-related parameter expresses mathematically the real pathway distance in comparison to the straightest one when travelling along certain direction through the material’s internal structure. Tortuosity determination is not reliable in 2D and needs to be computed in 3D structures. However, computation of 3D algorithms in complex structures is not an easy task. This work discusses two methodological approaches based on their correspondent computation algorithms working on a collection of 3D tomography data sets of different cellular materials. The tortuosity analysis is carried out in both solid and fluid phases. Results will be compared and correlated. A detailed discussion in terms of these models and the materials will be given.C