Figure 4.

Axial distribution of the Marangoni stress M and tangential shear viscous stress SV (a), surfactant surface concentration $\widehat{\mathrm{\Gamma }}$ (b), and free surface radius $R/R_0$ (c) for DIW+SDS 0.8cmc. The solid lines are the results for $\{{\mu }_1^{S\ast }=1.2\times {10}^{-9}$, ${\mu }_2^{S\ast }=0$ Pa s m$\}$, while the dotted lines correspond to the the Marangoni stress M for ${\mu }_1^{S\ast }={\mu }_2^{S\ast }=0$ (in the left-hand graphs, $R_{\text{min}}=0.9836$ $\mathrm{\mu }$m for ${\mu }_1^{S\ast }={\mu }_2^{S\ast }=0$; in the right-hand graphs, $R_{\text{min}}=0.2268$ $\mathrm{\mu }$m for ${\mu }_1^{S\ast }={\mu }_2^{S\ast }=0$). The results were calculated for $B=3.396\times {10}^{-3}$, Oh=0.0151, ${\widehat{\mathrm{\Gamma }}}_{\text{cmc}}=1.002$, Pe${}^S=7.73\times {10}^4$, Oh${}_2^{S\ast }=0$, and Oh${}_1^{S\ast }=1.575\times {10}^{-4}$ (solid lines) and 0 (dotted lines) (see “Methods” section).