A critical component of the biocompatibility of a bone scaffold lies in its mechanical, chemical, and physical properties. However, less attention has been paid to the scaffold’s transport properties, which determine its interaction with the host biological environment. We propose a hydrodynamic measure of tortuosity in relation to mean particle residence time (MRT) and its effect on bone scaffold performance. Using high-fidelity computational fluid dynamics (CFD), we quantified MRT, volumetric flow rates, and geometric tortuosity to establish their relationship with permeability and hydraulic resistance. Our results demonstrate that increased geometric tortuosity reduces MRT under pressure-driven flow due to localized nozzle-like acceleration. This study provides a measure of tortuosity, both geometrically and from particle residence time, with the overarching objective of matching it to bone in future studies.