A statistical theory for mass transfer near interfaces

✍ Scribed by C.A. Petty

• Book ID: 103006791
• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 529 KB
• Volume: 30
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(75)85006-8

✦ Synopsis

A statistical theory for mass transfer near fluid-íluid and solid-íluid planar intedaces is developed using the method of projection operators applied to the convective-diffusion equation. A first order smoothing approximation gives a closed integro-differential equation for the mean concentration; a local differential equation results under certain restrictive conditions. For a simplified one-dimensional model, the mass transfer coeflìcient is related to the structure of the turbulente by a space-time correlation for velocity oscillations near the interface. A unique feature of the theory is that it accounts for the effect of diffusive damping on concentration fluctuations. The dependence of the Sherwood number on the Schmidt number is consistent with experiments for both free and rigid interfaces.