Empirical interpolation worksheet
Two-Point Walther Viscosity Interpolation
Interpolate between documented kinematic viscosities at 40 °C and 100 °C using the disclosed modified Walther equation. No VI,pour point,dynamic viscosity or lubricant suitability is inferred.
Interpolation only40–100 °CNot ASTM conformity
Interpolation result
Interpolated kinematic viscosity
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Normalized target
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Reference values ν40 / ν100
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Fit constant A
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Fit constant B
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Empirical interpolation only;not a lubricant selection,fitness or ASTM conformity result.
Implemented relation
log10(log10(ν + 0.7)) = A − B·log10(TK)
ν is kinematic viscosity in mm²/s,TK is absolute temperature in kelvins,and A/B are fitted from the entered40 °C and100 °C points.The0.7-shift modified Walther relation is an empirical engineering model;it is not labelled as the exact current ASTM D341 equation.
Restricted use
- Target temperature must be between40 °C and100 °C (104–212 °F);no extrapolation.
- Both reference viscosities must exceed2mm²/s and ν40 must exceedν100.
- Both values must describe the same fluid,batch/state and compatible measurement basis.
- Results close to a specification boundary require uncertainty and decision-rule treatment outside this worksheet.
計算外
- Viscosity Index:ASTM D2270-24 uses its own procedures,tables/equations and scope.
- Pour point:two viscosity points do not determine a pour point.
- Dynamic viscosity:density at the same temperature and an applicable rheological basis are required.
- ISO VG,film thickness,bearing/gear adequacy,startability,wear,churning or lubricant approval.
Standards boundary: ASTM D341-20(2025) is active and covers equations/charts for liquid petroleum or hydrocarbon products within a limited range from two known viscosity-temperature points.The exact current equations and limits remain NEEDS_LICENSED_SOURCE.ASTM D2270-24 is not partially reimplemented.
情報源
ASTM D341-20(2025) official record; ASTM D2270-24 official record; ISO3104:2023 official record; Leao et al.,Lubricants2018 (published0.7-shift Walther fit between40 and100 °C).
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