MARANGONI INSTABILITY WITH UNSTEADY DIFFUSION IN UNDISTURBED STATE

The theory of interfacial turbulence accompanying mass transfer has been extended to include unsteady-state diffusion in the undisturbed state, and resistance to transfer across the interface. The characteristic equations derived for the general diffusion case predict that the growth rate of a disturbance should increase and its amplitude decrease with both increasing driving force and closer approach to the steady state from below. Numerical results show that a system exhibiting resistance to transfer at the interface may be unstable with transfer in either direction. The fact that some of these predictions have been experimentally verified argues well for the theory. © 1969, American Chemical Society. All rights reserved.