| --- |
| license: cc-by-4.0 |
| language: |
| - en |
| pretty_name: Microfluidic Straight-Tube Pressure-Drop Benchmark |
| tags: |
| - microfluidics |
| - fluidics |
| - pressure-drop |
| - hagen-poiseuille |
| - ivd |
| - laboratory-automation |
| - engineering |
| - python |
| size_categories: |
| - n<1K |
| configs: |
| - config_name: default |
| data_files: |
| - split: train |
| path: microfluidic_pressure_drop_benchmark.csv |
| --- |
| |
| # Microfluidic Straight-Tube Pressure-Drop Benchmark |
|
|
| This small, deterministic engineering dataset contains **420 straight-tube pressure-drop cases** spanning tube internal diameter, length, volumetric flow rate, and dynamic viscosity. It is intended for equation verification, unit-conversion tests, engineering education, tabular regression experiments, and first-pass fluid-path screening. |
|
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|  |
|
|
| ## Why this dataset exists |
|
|
| Small changes in tube internal diameter can dominate a microfluidic pressure budget. Under the assumptions of the Hagen–Poiseuille relation, |
|
|
| ```text |
| ΔP = 128 μ L Q / (π d⁴) |
| ``` |
|
|
| pressure drop is inversely proportional to the fourth power of tube diameter. A 0.5 mm tube therefore has 16 times the straight-tube pressure drop of a 1.0 mm tube at the same length, flow, and viscosity. |
|
|
| The dataset turns that sensitivity into a transparent parameter grid that can be reproduced without proprietary software. |
|
|
| ## Parameter grid |
|
|
| | Parameter | Values | |
| |---|---| |
| | Tube internal diameter | 0.30, 0.40, 0.50, 0.60, 0.80, 1.00, 1.20 mm | |
| | Tube length | 0.10, 0.25, 0.50, 1.00 m | |
| | Flow rate | 0.10, 0.25, 0.50, 1.00, 2.00 mL/min | |
| | Dynamic viscosity | 1.0, 2.0, 5.0 mPa·s | |
| | Density | 998 kg/m³ (fixed) | |
|
|
| All 420 combinations are generated. The largest Reynolds number in the grid is approximately 141, so every row remains within the intended laminar screening regime. |
|
|
| ## Columns |
|
|
| | Column | Meaning | |
| |---|---| |
| | `case_id` | Stable row identifier | |
| | `tube_id_mm` | Tube internal diameter in millimetres | |
| | `tube_length_m` | Straight-tube length in metres | |
| | `flow_rate_ml_min` | Volumetric flow rate in mL/min | |
| | `dynamic_viscosity_mpa_s` | Dynamic viscosity in mPa·s | |
| | `density_kg_m3` | Fluid density in kg/m³ | |
| | `mean_velocity_m_s` | Calculated mean velocity | |
| | `reynolds_number` | Calculated pipe Reynolds number | |
| | `pressure_drop_pa` | Calculated straight-tube pressure drop in Pa | |
| | `pressure_drop_kpa` | Calculated straight-tube pressure drop in kPa | |
| | `relative_pressure_drop_vs_1mm` | Diameter-only pressure ratio relative to 1.00 mm ID | |
| | `screening_regime` | Intended model regime for the row | |
|
|
| ## Files |
|
|
| - `microfluidic_pressure_drop_benchmark.csv` — the 420-row dataset; |
| - `build_dataset.py` — reproducible generator using SI units; |
| - `pressure_drop_sensitivity.png` — plotted diameter and viscosity sensitivity; |
| - `README.md` — dataset card, assumptions, limitations, and provenance. |
|
|
| Run the generator with Python 3 and Pillow: |
|
|
| ```bash |
| python build_dataset.py |
| ``` |
|
|
| ## Assumptions and limitations |
|
|
| This is a **screening dataset**, not a universal product-performance specification. The calculation assumes fully developed laminar flow of a Newtonian, incompressible fluid through a rigid, straight, circular tube. |
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| It does not include entrance and exit losses, bends, tees, reducers, connectors, filters, valves, manifolds, nozzles, tube deformation, tolerance distributions, temperature-dependent viscosity, pulsatile flow, compressibility, multiphase flow, particles, or non-Newtonian rheology. Complete fluid paths should be validated with component loss data and bench testing. |
|
|
| ## Interactive verification |
|
|
| To vary diameter, length, flow rate, and viscosity interactively, use the [FOREACH Fluid Resistance and Pressure Drop Calculator](https://www.foreachtek.com/en/resources/calculators/fluid-resistance/). |
|
|
| Disclosure: the author works with Shenzhen Foreach Technology Co., Ltd. The external calculator is identified because it reproduces the same first-pass engineering relation; this dataset remains independently downloadable and reproducible. |
|
|
| ## Suggested citation |
|
|
| Hu, Alex. *Microfluidic Straight-Tube Pressure-Drop Benchmark*. Shenzhen Foreach Technology Co., Ltd., 2026. |
|
|
| ## License |
|
|
| Dataset, code, documentation, and figure are released under the [Creative Commons Attribution 4.0 International](https://creativecommons.org/licenses/by/4.0/) license. |
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|
