KEVOS® MAKEOS · Maintenance

Lubricant Film Thickness Ratio (Lambda)

Is the lubricant film thick enough to separate these rolling surfaces?

Film thickness ratio lambda of a rolling bearing or gear contact: the working film thickness divided by the composite roughness of the two surfaces, from RMS or average roughness, with the lubrication regime it indicates.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Working film thicknessµmMinimum film thickness at the operating temperature (from an EHL calculation or the bearing maker’s data).
Roughness entered aschoiceWhether the roughness values are RMS or arithmetic average.
Roughness of surface 1µmRoughness of the first surface (for example the raceway).
Roughness of surface 2µmRoughness of the second surface (for example the rolling element).

Method and formulas

  1. λ = h ÷ √(R_q1² + R_q2²).
  2. Where only Ra is known, R_q ≈ 1.25 Ra for typical ground surfaces.
  3. Commonly λ < 1 indicates boundary lubrication, 1–3 mixed, and above about 3 full separation.
  4. Example: a 0.25 µm film on surfaces of 0.06 and 0.04 µm gives λ = 3.4669.

Limitations

  • Film thickness must be calculated or supplied; this tool does not compute EHL film thickness.
  • Contamination and debris dents defeat a good λ.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check whether a bearing runs in full-film lubrication
  • Judge the effect of a different oil viscosity
  • Explain short bearing life from surface distress

Who it is for

  • Reliability engineers
  • Lubrication engineers
  • Maintenance engineers

What you get

  • Composite roughness
  • Film thickness ratio λ
  • Lubrication regime

Interpreting the result

  • Raising viscosity at the operating temperature or improving surface finish increases λ and bearing life.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2420–2422. Topic reference; no source tables or recommended settings are reproduced.

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Open the Lubricant Film Thickness Ratio (Lambda) calculator