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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
Normalized target
Reference values ν40 / ν100
Fit constant A
Fit constant B
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.

गणना नहीं की गई

  • 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.

स्रोत

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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