Dimensionless numbers appearing in these correlations are as follows: Re = Particle Reynolds number = (pcdp Ur/jc) Pr = Prandtl number = (jc Cp/kc) Pe = Peclet number = Re Pr or Re Sc Sc = Schmidt number = (xc/pcD)

The first five correlations predict limiting values of the Sherwood or Nusselt number as 2 and are mainly valid for single-particle or very dilute flows. The last two correlations predict Nusselt and Sherwood numbers lower than 2 for dense flows and should be used to simulate dense granular flows.

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