Chilton and Colburn J-factor analogy

Chilton–Colburn J-factor analogy is a successful and widely used analogy from heat, momentum, and mass transfer analogies^[1] . The basic mechanisms and mathematics of heat, mass, and momentum transport are essentially the same. Among many analogies (like Reynolds analogy, Prandtl–Taylor analogy) developed to directly relate heat transfer coefficients, mass transfer coefficients, and friction factors Chilton and Colburn J-factor analogy proved to be the most accurate.

It is written as follows,

$J_M=\frac{f}{2} = J_H = \frac{h}{cp \cdot G} \cdot {Pr}^{\frac{2}{3}}= J_D = \frac{k'_c}{\overline{v}} \cdot {Sc}^{\frac{2}{3}}$

This equation permits the prediction of an unknown transfer coefficient when one of the other coefficients is known. The analogy is valid for fully developed turbulent flow in conduits with Re > 10000, 0.7 < Pr < 160, and tubes where L/d > 60 (the same constraints as the Sieder–Tate correlation). The wider range of data can be correlated by Friend–Metzner analogy.

See also

• Colburn J-factor
• Reynolds analogy
• Thomas H. Chilton

References

1. ^ Transport Phenomena (1 ed.). Nirali Prakashan. 2006. p. 15-3. ISBN 8-185-79086-8. http://books.google.com/books?id=co4_XmXJddgC&pg=SA15-PA3. , Chapter 15, p. 15-3

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

External links

• Lecture notes on mass transfer coefficients: http://www.cbu.edu/~rprice/lectures/mtcoeff.html