Plain-language results
Exhaustion, dye remaining in the bath and dye transferred into the textile, explained without jargon.
Textile dyeing · prediction research
See where the dye goes.
DyeFlow Lab simulates how dye leaves a finite dye bath and moves into a textile’s pores and fibers. It is built on the research team’s two-region, finite-bath transport model and explains the results in plain language for the dye-house floor.
Mass-conserving solver
Bath · pores · fibers
Runs in your browser
Research simulation
3 regionsDye bath, textile pores and fibers are linked
≈ 10⁻¹³Typical mass-balance drift checked on every run
0 uploadsInputs never leave the visitor’s device
2 modesBasic for operators, Advanced for researchers
What it does
Clear answers to “how much dye has left the bath?”
DyeFlow Lab turns a research-grade partial differential equation model into a tool that dye-house staff and textile researchers can both read.
Interactive uptake curves
Hover over the curves to read the bath, pore and fiber shares at any moment during the run.
Engineering mode
Diffusion, partition and exchange coefficients, Biot number, bath coupling and grid controls for researchers.
Mass-conservation checks
Every run shows that dye leaving the bath is exactly accounted for inside the textile, within round-off.
CSV, JSON and print reports
Download complete time series and run metadata for lab notebooks and spreadsheets.
Honest about limits
Results are clearly labeled research simulations unless a validated material profile is used.
How it works
Three steps from batch to insight
Describe the batch
Enter fabric weight, bath volume, starting dye concentration and time. Choose a material profile that holds the measured transport coefficients.
Simulate dye transport
A conservative finite-volume solver tracks dye in the bath, the textile pores and the fiber region over time.
Read the dashboard
See exhaustion, remaining dye, uptake curves and the mass-balance check, then export the full results.
Important distinction
Exhaustion is not fixation
Bath exhaustion is the share of dye that has left the liquid. Dye that has left the bath is not the same as dye permanently fixed to the fabric. Fixation depends on dye chemistry, auxiliaries, temperature profile and washing, and this model does not predict it.
Why this mattersExhaustion — modeled
Dye has moved from the bath into the textile’s pores or fiber region. Some of it may still come out again.
Fixation — not modeled
Dye is chemically or physically bound and survives washing. You need lab measurement to know it.
Who it is for
Built for the dye house and the lab
Dye-house operators
Basic mode uses everyday batch inputs and explains each result in simple terms.
Textile researchers
Advanced mode exposes every model coefficient, parameter sweeps, grid checks and benchmarks.
Students and educators
The methodology page walks through the equations, boundary conditions and verification.
What DyeFlow Lab is notThe model has not been experimentally validated for industrial production. It does not predict shade, colour strength, fastness, fixation, chemical consumption, cost or effluent compliance, and it is not calibrated for factory production. Fabric type, dye name, temperature and pH are recorded only, not used to infer physical coefficients.
Try a research simulation
No sign-up, no installation and no data upload. Results appear within a second.