Dipolar surfactant distribution (source code)

= Dipolar surfactant distribution
{title2=$C'=B\mathbf U\cdot\mathbf n$}

Linear steady transport on a translating sphere gives $B=2AC_0a/(ka^2+2D_s)$. The components of its unit <normal vector> are degree-one <spherical harmonics>. The condition $2|A|Ua/(ka^2+2D_s)\ll1$ ensures the concentration perturbation is small relative to $C_0$.