Spatial transport dossier: one vessel, three descriptions: changed case
Address this changed case in a fresh argument. Explain which earlier conclusions survive and which require new evidence. This is public practice with available guidance; it is not an untouched examination. Your responses and guidance exposure are stored separately from the main project.
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0 of 1 transfer tasks have recorded responses. This counts submissions, not quality, independent review or project mastery.
Replace the floor and rebuild the geometry
In a fresh document replace the horizontal floor by z=H[c+δ(x/a)], beneath the same paraboloid. Set c=1/4,δ=1/4 and uniform density β=0; retain a=2 m,b=1 m,H=3 m,ρ₀=2 kg/m³,κ=0.1 s⁻¹,w=0.2 m/s. This family is outside the main workbench. Derive the shifted footprint, complete integration bounds, volume, mass and all centroid coordinates. Derive the outward floor vector area and its mass flux, then recover top flux by closure and verify it directly or with an independently written checker. Identify precisely which symmetry, radial-bound and normal arguments from the main case fail. Disclose public solution exposure and seek a reviewer-supplied variation if using this for independent evidence.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
Review, defend and revise
Ask a reviewer to examine the complete reasoning, reproduce selected results and pose an unfamiliar case. Record their feedback against the specific revision discussed. Reviewer labels are entered locally and do not verify identity or judgment. A complete set of text submissions does not certify an independently defended investigation.