Glycerin walkthrough v2: temperature series + Arrhenius check of eta_bg (issue #27)

[marcocaggioni]

Follows up the merged #29 with the better dataset from the reopened #27 (cp05_gly_newsample.json: Carbopol in glycerin, flow curves at 20/30/40/50 °C, 51 pts each).

What changed

• Page rewritten around the temperature series; the single-T cp02 dataset/figures are retired.
• HB vs TC at every T: TC wins 3–4× on RedChi² (5e-5–2e-4), all params tightly identified; HB n ≈ 0.52 T-independent.
• New centerpiece — Arrhenius check of the TC background viscosity: ln η_bg vs 1/T gives E_a = 36.9 kJ/mol (R²=0.957) vs 60.4 kJ/mol for public glycerol data (Segur & Oberstar 1951: 1.412/0.612/0.284/0.142 Pa·s at 20/30/40/50 °C). The weaker slope is the microgel contribution diluting the solvent law; η_bg/η_glycerol runs 1.54 → 3.79 from 20 to 50 °C.
• New figures: temperature series with TC fits, Arrhenius plot, TC parameter trends vs T.
• Updated mermaid workflow diagram with committed EPUB SVG fallback; new dataset archived.
• Citations verified via Crossref (Herschel & Bulkley 1926 doi:10.1007/BF01432034; Segur & Oberstar 1951 doi:10.1021/ie50501a040).

Checks

• Local sphinx HTML build: page clean (the 16 autodoc warnings are pre-existing on master — rheofit is not installed in the local docs venv; CI installs it).
• Please do not merge — awaiting review.

[caggionim]

remove the 50C and correct the analysis

[marcocaggioni]

Done — 50 °C is out everywhere: the HB/TC table, temperature series, TC parameter trends, and Arrhenius plot now use 20/30/40 °C only, and the text numbers are corrected. Updated results: η_bg E_a = 45.3 kJ/mol (R² = 0.990) vs glycerol 61.2 kJ/mol; η_bg/η_glycerol = 1.54 → 2.33 (20 → 40 °C). The physical story is unchanged — the microgel contribution still dilutes the solvent Arrhenius slope — and with three points the η_bg line is actually cleaner. Mermaid diagram, SVG fallback, and landing-page blurb updated too.