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Carreau walkthrough: Cox–Merz and Delaware–Rutgers validation (closes #25) - #26

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walkthrough-carreau
Sep 25, 2026
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Closes #25.

New case study docs/walkthrough-carreau.md on a_remake_dhr2.json (high-MW linear polymer in aqueous solution, 25 °C):

  • Carreau fit of the flow curve: η₀ = 1.99 Pa·s, λ = 0.199 s, n = 0.414 (all ≤6% error, RedChi² = 3.85e-3, cond 9.5), with fit + residuals plot
  • Cox–Merz validation: |η*(ω)| from the frequency sweep overlays η(γ̇) to within 2.3% over three decades (Cox & Merz 1958)
  • Delaware–Rutgers validation: η′(γ₀ω) from the amplitude sweep overlays η(γ̇) to within 9% (Doraiswamy et al. 1991); amplitude sweep also confirms the frequency sweep's 0.5% strain is inside the LVE
  • Mermaid workflow diagram (renders on HTML via Render mermaid diagrams on Read the Docs #24's sphinxcontrib-mermaid; SVG fallback for EPUB)
  • All three references verified with clickable DOIs

Verified locally: sphinx-build -W clean, diagram renders on HTML, SVG fallback in EPUB, all figures referenced.

New docs/walkthrough-carreau.md case study on a_remake_dhr2.json
(high-MW linear polymer, 25 C): Carreau fit of the flow curve
(eta0=1.99 Pa.s, lambda=0.199 s, n=0.414), Cox-Merz validation
with the frequency sweep (2.3% agreement) and Delaware-Rutgers
validation with the amplitude sweep (9% agreement). Includes
mermaid workflow diagram with EPUB SVG fallback.

Closes #25.
@marcocaggioni
marcocaggioni merged commit 133acf4 into master Sep 25, 2026
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Add Carreau Model Analysis Walkthrough with Experimental Data Examples

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