Analogies between Heat and Mass Transfer

Diffusion – Fick’s law (J = – E dc/dx )

Conduction – Fourier’s law (q = – k dT)

Reynolds Analogy | Chilton-Colburn Analogy | Theories of Mass Transfer

Important Points: Reynolds and Chilton-Colburn Analogy does not relate K to D (Diffusivity Coefficient) but related K to Heat and Momentum Transfer Coefficient.

The driving force for mass transfer is usually a difference in chemical potential

Reynolds Analogy

Relates Laminar Momentum & Heat Transfer (For Laminar flow)

“For Gases as we all are aware Pr = Sc = 1“

Chilton-Colburn

j=Nu/Re x Pr^1/3 = Sh/ ReSc^1/3.

HT & MT Analogy Dimensionless Numbers

Heat Transfer	Mass Transfer
Prandtl No.	Schemidt No.
Nusselt No.	Sherwood No.
Peclet No (Re * Pr)	Peclet No. (Re * Sc)
Stanton No (Pr/Pe)	Stanton No (Sh/Pe)

Molecular Diffusion and Fick’s Law

Interphase Mass Transfer