{"uid":"cap_cvabj5dDmfYcKjdZo1YLR","slug":"tissue-scaffold-fluid-permeability-calculator-40f6e735","name":"Tissue Scaffold Fluid Permeability Calculator","description":"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.","url":"https://bio.halowerk.com/v1/tissue-scaffold","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"kozeny_constant":{"type":"number","maximum":10000,"minimum":1},"pressure_drop_pa":{"type":"number","maximum":1000000000000,"minimum":-1000000000000},"porosity_fraction":{"type":"number","maximum":0.99,"minimum":0.01},"mean_pore_diameter_um":{"type":"number","maximum":1000000,"minimum":0.001},"scaffold_thickness_mm":{"type":"number","maximum":1000000,"minimum":0.001},"fluid_dynamic_viscosity_pa_s":{"type":"number","maximum":1000000,"minimum":1e-9}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.003","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.003/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_yesnshf3Onjg2BYCi_Z_n","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.003","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"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.","exampleAgentPrompt":"Calculate the fluid permeability and Darcy flow rate through a tissue scaffold with 65% porosity, 50 µm mean pore diameter, 3 mm thickness, water viscosity of 0.001 Pa·s, a pressure drop of 1000 Pa, and a Kozeny constant of 5.","exampleUseCases":[{"title":"Bone scaffold perfusion bioreactor design","prompt":"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?"},{"title":"Hydrogel scaffold fluid transport check","prompt":"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."},{"title":"Comparing scaffold architectures for permeability","prompt":"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?"}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:41:39.319Z","isFirstParty":false}