Constant-speed entraining gravity current on a slope
= Constant-speed entraining gravity current on a slope
{title2=$u^3=B(\sin\theta-E\cos\theta/2)/(c+E)$}
For steady flow with <entrainment coefficient> $E$, bottom-drag coefficient $c$ and slope angle $\theta$, a constant <buoyancy flux> $B$ gives $h=h_0+Ex$, $g^{\prime}=B/(uh)$ and $u^3=B(\sin\theta-E\cos\theta/2)/(c+E)$. The half factor comes from hydrostatic pressure, while the denominator includes both bed drag and acceleration of entrained fluid.