2.4 KiB
Drag Auto — Drag Force Analysis
Loads particle centroid tracking data, lets you interactively define movement regions, and computes drag force vs. displacement with a linear fit per particle and direction.
Workflow Overview
-
Load CSVs — Reads all
*.csvfiles from a folder (output fromDrag Force Particle Tracking Automatic.ipynb). Automatically detects the number of particles from the column count (3 columns per particle:cx,cy,r). -
Set regions (slider cell) — For each speed, an interactive plot shows the x-position traces for all particles over time. Use the three sliders to define:
- Stationary — frames where the stage is not moving (baseline)
- Movement 1 — first direction of stage movement
- Movement 2 — second direction of stage movement (return)
Click Confirm All & Continue when all speeds are set.
-
Analyze — Computes the mean displacement of each particle relative to its stationary baseline, and the expected Stokes drag force at each speed. Fits a linear spring constant
k(pN/µm) per particle per direction through the origin.
Key Parameters (Analysis Cell)
| Parameter | Description |
|---|---|
folder |
Path to folder containing {speed} mms.csv files |
PIXELS_PER_MICRON |
Pixel-to-micron conversion factor |
ETA |
Fluid viscosity (Pa·s); default: 0.001 (water) |
R |
Particle radius (m); default: 1e-6 (1 µm) |
TRIM |
Frames trimmed from each edge of a region to remove transients |
Output Plot
- Color = particle (each particle gets a unique color)
- Filled circles = Direction 1 (Movement 1), open circles = Direction 2 (Movement 2)
- Solid fit line = Direction 1, dotted fit line = Direction 2
- Separate origin-constrained fit per particle per direction with 95% confidence interval shading
- Printed spring constant
k ± σ(pN/µm) for each particle and direction
Input File Format
CSV files must match the output of Drag Force Particle Tracking Automatic.ipynb:
- No header row
- Filename:
{speed} mms.csv(e.g.0.25 mms.csv) - Columns:
cx0, cy0, r0, cx1, cy1, r1, cx2, cy2, r2(3 per particle, up to 3 particles)
Dependencies
numpy, pandas, scipy, matplotlib, ipywidgets, ipympl
Install missing packages with pip install <package>.
Tracking Data Source
Generate input CSVs using Drag Force Particle Tracking Automatic.ipynb.