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Tissue Scaffold Fluid Permeability Calculator
x402
Tissue Scaffold Fluid Permeability Calculator is a paid API for AI agents from bio.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-09-14).
Computes fluid permeability and flow rate through a porous tissue scaffold using the Kozeny-Carman relation and Darcy's law given porosity, pore diameter, thickness, viscosity, and pressure drop.
Price / call$0.003
Success—
StatusUnknown
How this service works
Uses the Kozeny-Carman relation with supplied porosity and pore diameter, then applies Darcy’s law with supplied thickness, viscosity and pressure drop. It is an idealized homogeneous porous-medium calculation, not scaffold design validation, cell-transport modeling, biocompatibility assessment or medical guidance.
Output
Returns the computed intrinsic permeability (m²) derived from the Kozeny-Carman relation using the supplied porosity and pore diameter, along with the Darcy flux (m/s) and volumetric flow rate per unit area, calculated from the permeability, scaffold thickness, fluid viscosity, and applied pressure drop. Results are based on an idealized homogeneous porous-medium model.
Example use cases
Bone scaffold perfusion bioreactor design
“I'm designing a perfusion bioreactor for a bone scaffold — it's 5 mm thick with 70% porosity and 100 µm average pore diameter. Can you compute the expected Darcy flow rate using a Kozeny constant of 5, culture medium viscosity of 0.0008 Pa·s, and a pressure drop of 2000 Pa?”
Hydrogel scaffold fluid transport check
“I need to estimate how much fluid flows through our hydrogel scaffold per unit area — it has 40% porosity, 10 µm pore diameter, 2 mm thickness, viscosity of 0.001 Pa·s, applied pressure of 500 Pa, and Kozeny constant of 4.5.”
Comparing scaffold architectures for permeability
“Can you run a permeability calculation for a scaffold with 80% porosity, 200 µm pore diameter, 4 mm thickness, fluid viscosity 0.00089 Pa·s, pressure drop 1500 Pa, and Kozeny constant 5 so I can compare it against our denser design?”
Technical details
Endpoint
POSThttps://bio.halowerk.com/v1/tissue-scaffoldWhen to prefer
Choose this endpoint when you need a fast, deterministic analytical calculation of fluid permeability and Darcy flow through a homogeneous porous scaffold using the Kozeny-Carman + Darcy framework. Prefer it over finite-element or CFD tools when you have idealized scaffold parameters (porosity, mean pore size) and need a quick engineering estimate without cell biology, biocompatibility, or structural validation.
Side effects
- Porosity fraction outside 0.01–0.99 range returns validation error
- Pressure drop or viscosity at extreme bounds may yield physically unrealistic results
- Non-positive or zero pore diameter or thickness triggers schema rejection
- Missing required fields return 400-level error
- Kozeny constant outside 1–10000 range is rejected
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| kozeny_constant | number | |
| pressure_drop_pa | number | |
| porosity_fraction | number | |
| mean_pore_diameter_um | number | |
| scaffold_thickness_mm | number | |
| fluid_dynamic_viscosity_pa_s | number |
Tags
x402
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