Conversions

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Revision as of 03:38, 17 March 2023 by md>Scott.Munro (→‎References)
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Description

This article describes methods for converting:

  • Weight fraction retained to cumulative fraction passing particle size distributions
  • Cumulative fraction passing to weight fraction retained particle size distributions
  • Particle size distributions between different mesh series
  • Particle size distribution mesh interval sizes to geometric mean sizes
  • Volumetric flow rates of slurry to mass flow rates of solids and liquids

Model theory

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Geometric mean size

The geometric mean size of a particle, (mm), is defined as:

where:

  • is the index of the size interval,
  • is the number of size intervals
  • is the diameter of particles retained in a mesh at size interval (mm)
  • the value of decreases as increases, i.e. , = top size,


Excel

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The interpolation methods may be invoked from the Excel formula bar with the following function calls:

=mdConvert_RetToCumPass(Retained as Range)
=mdConvert_CumPassToRet(CumPassing as Range)
=mdConvert_ToMesh(Size1 as Range, Dist1 as Range, Size2 as Range, Optional axesScale as Integer = 0, Optional interpMethod as Integer = 0)
=mdConvert_ToGeoMeanSize(Size as Range)
=mdConvert_QvToQm(Qv as Double, wtFracSolids as Double, solidsSG as Double, Optional liquidsSG as Double = 1)

Invoking the function with no arguments will print Help text associated with the model, including a link to this page.

References