Chilton and Colburn J factor analogy

From Chemepedia

Chilton–Colburn J-factor analogy is a successful and widely used analogy between heat, momentum, and mass transfer. The basic mechanisms and mathematics of heat, mass, and momentum transport are essentially the same. This analogy is based on experimental data for gases and liquids in both laminar and turbulent flow region. It is written as following:


            (1)

This equation is really useful to correlate between momentum, heat and mass-transfer data. It allows to predict an unknown transfer coefficient with other known coefficients.

Relationship between Heat and Mass;


            (2)

where,

  • Sc is the Schmidt Number
  • Pr is the Prandtl Number
  • Re is the Reynolds Number
  • Sh is the Sherwood Number


[1]

  1. Geankoplis, C.J. Transport processes and separation process principles (2003). Fourth Edition, p. 475