Buoyancy production in a particle-laden current (source code)

= Buoyancy production in a particle-laden current
{title2=$\partial_t(g^{\prime} h)+B_x=S_B-v_sg^{\prime}$}

The integrated budget is $\partial_t(g^{\prime} h)+B_x=S_B-v_sg^{\prime}$. A steady spatial increase needs a source $S_B$ exceeding deposition, for example <sediment resuspension> or lateral particle input. In unsteady flow, local depletion can produce $B_x>0$ even without particle addition.