Deposit composition from sedimentation jump conditions (source code)

= Deposit composition from sedimentation jump conditions
{title2=$s(p_i-q_i)=W_iq_i(1-q_i)$}

For a <bidisperse kinematic sedimentation> model with normalized suspension concentrations $q_i$, isolated speeds $W_i$, and a stationary deposit with $p_1+p_2=1$, the upward deposit-front speed magnitude obeys $s(p_i-q_i)=W_iq_i(1-q_i)$. Adding gives $s=\sum_iW_iq_i(1-q_i)/(1-\sum_iq_i)$; substitution determines each deposited fraction. These are <Rankine-Hugoniot conditions> with a stationary compacted branch.