THE REAR STAGNATION REGION OF A BUBBLE RISING STEADILY IN A DILUTE SURFACTANT SOLUTION

Abstract

Suppose that a gas bubble rises steadily in a very dilute surface-active solution, with very small Weber number, very large Péclet number, and either very small or very large Reynolds number. Define k, the dimensionless surface activity, as the ratio of the amount of contaminant absorbed on the surface to the amount dissolved in the diffusion boundary layer (in a sense which can be made precise). The diffusion boundary-layer equation was solved by the author in 1974 as a singular perturbation problem for k either very small or very large compared with unity.