Reply to Comment "Assessing Porous Media Permeability in Non-Darcy Flow: A Re-Evaluation Based on the Forchheimer...

Area of Science:

• Materials Science
• Fluid Dynamics
• Engineering

Background:

• The original paper
• Permeability versus Design in TPMS Scaffolds
• (Materials, 2019) investigated fluid flow through Triply Periodic Minimal Surface (TPMS) scaffolds.
• A recent comment manuscript,
• Assessing Porous Media Permeability in Non-Darcy Flow: A Re-Evaluation Based on the Forchheimer Equation
• , has raised questions regarding the permeability analysis.
• This response aims to clarify the findings in light of Non-Darcy flow principles.

Purpose of the Study:

• To formally respond to a critical comment regarding the permeability analysis of TPMS scaffolds.
• To re-evaluate the relationship between scaffold design and fluid flow characteristics.
• To address the applicability of the Forchheimer equation in Non-Darcy flow regimes for porous media.

Main Methods:

• The response involves a theoretical discussion and re-analysis of previously published data.
• It critically examines the assumptions and methodologies used in evaluating Non-Darcy flow.
• The authors clarify the interpretation of permeability in relation to scaffold architecture and flow conditions.

Main Results:

• The authors defend their original findings on TPMS scaffold permeability.
• They emphasize the importance of considering Non-Darcy flow effects, particularly the Forchheimer equation, for accurate predictions.
• The response highlights that scaffold design significantly influences flow behavior beyond simple Darcy's law.

Conclusions:

• The original study's conclusions regarding the link between TPMS scaffold design and permeability are reaffirmed.
• Accurate assessment of fluid flow in such scaffolds requires accounting for Non-Darcy effects.
• Further research is encouraged to refine models for porous media flow.