Boundary Depth Scans

surface-energy-floor-three-row-scan

A surface-energy-floor scan lowers the surface area (or gamma) across three rows toward a detection floor, showing how the energy E = gamma * A falls with it row by row. The arithmetic is exact only for the stated gammas, areas, and rows in the ideal flat-interface model. Real measurements add wetting/contact-angle variation, contamination, curvature, temperature, instrument calibration, finite precision, and measurement uncertainty.

Surface area is scanned below, at, and above an energy floor. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Surface area is scanned against an energy floor

The gamma source is fixed at 3 N/m while checked area moves to 4 square meters. The energy ledger reads 12 J which is below boundary relative to the 24 J floor.

E=γA=3 N/m×4 m2=12 JEmin⁡=24 JE=\gamma A=3\ \text{N/m}\times4\ \text{m}^{2}=12\ \text{J}\qquad E_{\min}=24\ \text{J}
Surface-energy boundary rowThe energy row cites the same checked gamma source.lengthforceareabelow boundary

Surface area is scanned against an energy floor

The gamma source is fixed at 3 N/m while checked area moves to 8 square meters. The energy ledger reads 24 J which is on boundary relative to the 24 J floor.

E=γA=3 N/m×8 m2=24 JEmin⁡=24 JE=\gamma A=3\ \text{N/m}\times8\ \text{m}^{2}=24\ \text{J}\qquad E_{\min}=24\ \text{J}
Surface-energy boundary rowThe energy row cites the same checked gamma source.lengthforceareaon boundary

Surface area is scanned against an energy floor

The gamma source is fixed at 3 N/m while checked area moves to 12 square meters. The energy ledger reads 36 J which is above boundary relative to the 24 J floor.

E=γA=3 N/m×12 m2=36 JEmin⁡=24 JE=\gamma A=3\ \text{N/m}\times12\ \text{m}^{2}=36\ \text{J}\qquad E_{\min}=24\ \text{J}
Surface-energy boundary rowThe energy row cites the same checked gamma source.lengthforceareaabove boundary